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Call number: | SPRINGER-2016-9783319320137:ONLINE Show nearby items on shelf |
Title: | Trends in Differential Equations and Applications |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (67 p.) |
Note: | 10.1007/978-3-319-32013-7 |
Contents: | 1 M. J. Castro, J. M. Gallardo, A. Marquina: Approximate Osher-Solomon schemes for hyperbolic systems -- 2 G. Maicas, A.I. Muñoz, G. Galiano, A. Ben Hamza and E. Schiavi: Spectral shape analysis of the hippocampal structure for Alzheimer’s Diseas e diagnosis -- 3 P. Alonso, J.M. Peña, M.L. Serrano: Characterizations of M-banded ASSR matrices -- 4 E. Casas, K. Chrysafinos: A review of numerical analysis for the discretization of the velocity tracking problem -- 5 G. Castiñeira and J.M. Rodríguez : Asymptotic analysis of a viscous flow in a curved pipe with elastic walls -- 6 J. Mura and A. Caiazzo: A two-scale homogenization approach for the estimation of porosity in elastic media -- 7 J. M. Carnicer, Y. Khiar and J. M. Pena: A matrix approach to the Newton formula and divided differences -- 8 B. Climent-Ezquerra and F. Guillen-Gonzalez: Long-time behavior of a Cahn-Hilliard-Navier-Stokes vesicle-fluid interaction model -- 9 G. Viglialoro: Explicit blow-up time for two porous medium |
problems with different reaction terms -- 10 A. Domínguez-Delgado, C. Domínguez-Torres and J. Iñesta-Vaquera: Numerical Assessment of the Energy Efficiency of an Open Joint Ventilated Facade for Typical Meteorological Months Data in Southern Spai n -- 11 E. Barrena, G. Laporte, F. A. Ortega, M. A. Pozo: Planning ecotourism routes in nature parks -- 12 M. Isabel García-Planas and M. Dolors Magret: Isometries of the Hamming space and equivalence relations of linear codes over a finite field -- 13 D aniela Giachetti, Pedro J. Martínez-Aparicio and François Murat: Advances in the study of singular semilinear elliptic problems -- 14 A. Baeza, P. Mulet, and D. Zorio: Weighted extrapolation techniques for finite difference methods on complex domains wi th Cartesian meshes -- 15 V. Domínguez and C. Turc: High order Nystrom methods for transmission problems for Helmholtz Equation -- 16 A. Algaba, N. Fuentes, C. García and M. Reyes: Algebraic inverse integrating factors for a class of generalized | |
nilpotent systems -- 17 R. Burger, F. Guerrero,M.C. Martı and P. Mulet: WENO schemes for multi-dimensional porous media flow without capillarity -- 18 L. Fan, P. Monk, and V. Selgas: Time dependent scattering in an acoustic waveguide via convolutio n quadrature and the Dirichlet-to-Neumann map -- 19 M. Albareda-Sambola, L. I. Martínez-Merino and A. M. Rodríguez-Chía: Location of emergency facilities with uncertainty in the demands -- 20 P. Díaz de Alba and G. Rodriguez: Regularized solution of a nonlinear problem in applied geophysics -- 21 A. Barreras and J.M. Peña: Total positivity: a new inequality and related classes of matrices -- 22 A. Ruiz and C. Muriel: Applications of C∞-symmetries in the construction of solvable structures -- 23 R. de la Rosa and M. S. Bruzón: Travelling wave solutions of a generalized variable-coefficient Gardner equation -- 24 Rodolfo Bermejo and Laura Saavedra: A second order local projection Lagrange-Galerkin method for Navier-Stokes equations at high | |
Reynolds numbers -- 25 F. Guillén-González and J. R. Rodrıguez-Galvan: Finite Element approximation of Hydrostatic Stokes Equations: Review and Tests | |
ISBN: | 9783319320137 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | SEMA SIMAI Springer Series: 8 |
Keywords: | Mathematics , Differential equations , Partial differential equations , Mathematical physics , Computer mathematics , Mathematics , Partial Differential Equations , Ordinary Differential Equations , Mathematical Applications in the Physical Sciences , Computational Mathematics and Numerical Analysis |
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Call number: | SPRINGER-2014-9783642390074:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Conservation Laws and Related Analysis with Applications [electronic resource] : Edinburgh, September 2011 |
Author(s): |
Gui-Qiang G Chen Helge Holden Kenneth H Karlsen |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey onmultidimensional systems of conserva tion laws as well as novel results on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation. Also included are articles on recent advances in theEuler equations and the Navier-Stokes-Fourier-Poisson system , in addition to new results on collective phenomena described by the Cucker-Smale model. The Workshop on Hyperbolic Conservation Laws and Related Analysis withApplications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edi nburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended theevent and submitted their contributions for this volume. It is addressed toresearchers and graduate students interested in partial differential equations and related analysis with applications. |
Contents: | Preface by G |
Q. Chen, H. Holden, K. H. Karlsen | |
B. Andreianov: Semigroup Approach for Conservation Laws with Discontinuous Flux | |
F. Betancourt, R. Brger, R. Ruiz | |
Baier, H.Torres, C. A. Vega: On Numerical Methods for Hyperbolic Conservation Laws and Related Equations Modeling Sedimentation of Solid | |
liquid suspensions | |
L. Caravenna: SBV Regularity Results for Solutions to 1D Conservation Laws | |
N. Chemetov, W. Neves: Generalized Buckley | |
Leverett System | |
G | |
Q. Chen, M. Slemrod, D. Wang: Entropy, Elasticity, and the Isometric Embedding Problem: M^3\to\R^6 | |
G | |
Q. Chen, W. Xiang: Exist | |
ISBN: | 9783642390074 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v49 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Differential equations, partial |
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Call number: | SPRINGER-2014-9781447154600:ONLINE Show nearby items on shelf |
Title: | Analysis of Finite Difference Schemes [electronic resource] : For Linear Partial Differential Equations with Generalized Solutions |
Author(s): |
Boko S Jovanovi Endre Sli |
Date: | 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are aclassical class of tec hniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and ofthe associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associatedanalytical solution are however frequently unrealistic. There is a weal th of boundary and initial value problems, arising from various applications in physics and engineering, where the data and the corresponding solutionexhibit lack of regularity. In such instances classical techniques for the error analysis of finite dif ference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linearpartial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution ofpartial differential equations |
Contents: | Distributions and function spaces |
Elliptic boundary | |
value problems | |
Finite difference approximation of parabolic problems | |
Finite difference approximation of hyperbolic problems | |
ISBN: | 9781447154600 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Series in Computational Mathematics, 0179-3632 : v46 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Numerical analysis |
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Call number: | SPRINGER-2013-9788847028920:ONLINE Show nearby items on shelf |
Title: | Computing Qualitatively Correct Approximations of Balance Laws [electronic resource] : Exponential-Fit, Well-Balanced and Asymptotic-Preserving |
Author(s): |
Laurent Gosse |
Date: | 2013 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock waveformation. Such a dissipat ion property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex waveinteractions. An overall weaker dissipation ca n reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunov-type schemes, low-order errors propagatingalong expanding characteristics after having hit a discontinuity, e xponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimescalled well-balanced, numerical schemes which succeed in reconciling high accuracy with a s tronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balancelaws, such as arising from quasi-one dimensional nozzle flow computations, multiphase WKB approximation of linear Schrdinger equations, or gravitational Navier-Stokes systems. Stability results for viscosity solutions ofonedimensional balance laws are sketched. The other being entirely devoted to the treatment of weakly nonlinear kinetic equations in the discrete or dinate approximation, such as the ones of radiative transfer, chemotaxis dynamics,semiconductor conduction, spray dynamics of linearized Boltzmann models. Caseology is one of the main techniques used in these derivations. Lagrangian techniques for filtrat ion equations are evoked too. Two-dimensional methodsare studied in the context of non-degenerate semiconductor models |
Note: | Springer eBooks |
Contents: | Introduction and chronological perspective |
Lifting a non | |
resonant scalar balance law | |
Lyapunov functional for linear error estimates | |
Early well | |
balanced derivations for various systems | |
Viscosity solutions and large | |
time behavior for non | |
resonant balance laws | |
Kinetic scheme with reflections and linear geometric optics | |
Material variables, strings and infinite domains | |
The special case of 2 | |
velocity kinetic models | |
Elementary solutions and analytical discrete | |
ordinates for radiative transfer | |
Aggregation phenomena with kinetic models of chemotaxis dynamics | |
Time | |
stabiliza | |
ISBN: | 9788847028920 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SIMAI Springer Series, 2280-840X : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Computer science Mathematics , Engineering mathematics |
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Call number: | SPRINGER-2013-9780817683856:ONLINE Show nearby items on shelf |
Title: | New Foundations in Mathematics [electronic resource] : The Geometric Concept of Number |
Author(s): |
Garret Sobczyk |
Date: | 2013 |
Publisher: | Boston : Birkhuser Boston : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple androbust means of expressi ng a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematicsand physics. Much of the material presented h as been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modernabstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. The book begins with a discussion of modular numbers (clock arithmetic) and modularpolynomials. This leads to the idea of a spectral basis, the complex and hyperbolic numbers, and finally to geometric algebra, which lays the groundwork for the remainder of the text. Many topics are presented in a new light,including: * vector spaces and matrices * structure of linear operators and quadratic forms * Hermitian inner product spaces * geometry of moving planes * spacetime of special relativity * classical integration theorems *differential geometry of curves and smooth surfaces * projective geometry * Lie groups and Lie algebras. Exercises with selected solutions are provided, and cha pter summaries are included to reinforce concepts as they are covered.Links to relevant websites are often given, and supplementary material is available on the authors website. New Foundations in Mathematics will be of interest to undergraduate and grad uate students of mathematics and physics whoare looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a s |
Note: | Springer eBooks |
Contents: | 1 Modular Number Systems |
2 Complex and Hyperbolic Numbers | |
3 Geometric Algebra | |
4 Vector Spaces and Matrices | |
5 Outer Product and Determinants | |
6 Systems of Linear Equations | |
7 Linear Transformations on R^n | |
8 Structure of a Linear Operator | |
9 Linear and Bilinear Forms | |
10 Hermitian Inner Product Spaces | |
11 Geometry of Moving Planes | |
12 Representations of the Symmetric Group | |
13 Calculus on m | |
Surfaces | |
14 Differential Geometry of Curves | |
15 Differential Geometry of k | |
Surfaces | |
16 Mappings Between Surfaces | |
17 Non | |
Euclidean and Projective Geometries | |
18 Lie Gr | |
ISBN: | 9780817683856 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Group theory , Matrix theory , Topological Groups , Mathematical physics , Engineering mathematics |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-2012-9788847024120:ONLINE Show nearby items on shelf |
Title: | Solving Numerical PDEs: Problems, Applications, Exercises [electronic resource] |
Author(s): |
Luca Formaggia Fausto Saleri Alessandro Veneziani |
Date: | 2012 |
Publisher: | Milano : Springer Milan : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their usein practice. With tha t collection of examples and exercises we try to address this issue by illustrating standard examples which focus on basic concepts of Numerical Analysis, as well as problems derived from practical applicationswhich the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields(biology, medicine, etc.) and industry. We wanted this book to be use ful both to readers more interested in the theoretical aspects, and also to those more concerned with the numerical implementation. To this aim, solutions to theexercises have been subdivided in three parts. The first concerns the mathematical analysis of the problem, the second its numerical approximation and the third part is devoted to implementation aspects and the analysis of the results.The book consists of three parts. The first deals with basic material and results provided as useful reference for the other sections. In particular, we recall the basics of functional analysis and the finite element method. The secondpart deals with steady elliptic problems, solved with finite elements or finite differences, while in the third part we address time-d ependent problems, including linear hyperbolic systems and Navier-Stokes equations. Two appendicesdiscuss some practical implementation issues and three-dimensional applications. Each section contains a brief introduction to the subject to make this book self contained |
Note: | Springer eBooks |
ISBN: | 9788847024120 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | UNITEXT, 2038-5714 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Differential equations, partial , Numerical analysis |
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Call number: | SPRINGER-2012-9781441978059:ONLINE Show nearby items on shelf |
Title: | Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems [electronic resource] |
Author(s): |
Larisa Beilina Michael Victor Klibanov |
Date: | 2012 |
Publisher: | Boston, MA : Springer US |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems is the first book in which two new concepts of numerical solutions of multidimensional Coefficient Inverse Problems (CIPs) for a hyperbolic PartialDifferential Equation (P DE) are presented: Approximate Global Convergence and the Adaptive Finite Element Method (adaptivity for brevity). Two central questions for CIPs are addressed: How to obtain a good approximation for the exactsolution without any knowledge of a small neig hborhood of this solution, and how to refine it given the approximation. The book also combines analytical convergence results with recipes for various numerical implementations ofdeveloped algorithms. The developed technique is applied to two types of bl ind experimental data, which are collected both in a laboratory and in the field. The result for the blind backscattering experimental data collected in thefield addresses a real-world problem of imaging of shallow explosives |
Note: | Springer eBooks |
Contents: | Two Central Questions of This Book and an Introduction to the Theories of Ill |
Posed and Coefficient Inverse Problems | |
Approximately Globally Convergent Numerical Method | |
Numerical Implementation of the Approximately Globally Convergent Method | |
The Adaptive Finite Element Technique and its Synthesis with the Approximately Globally Convergent Numerical Method | |
Blind Experimental Data | |
Backscattering Data | |
ISBN: | 9781441978059 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis , Differential equations, partial , Numerical analysis , Engineering mathematics |
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Call number: | SPRINGER-2011-9783642239113:ONLINE Show nearby items on shelf |
Title: | Front Tracking for Hyperbolic Conservation Laws [electronic resource] |
Author(s): |
Helge Holden Nils H Risebro |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numericalmethod. The multidimens ional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews: It is already one of the few best digests on this topic. The presentbook is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style. D. Serre, MathSciNet I have read the book with great pleasure, and I can recommend it to experts as well asstudents. It can also be used for reliable and very exciting basis for a one-s emester graduate course. S. Noelle, Book review, German Math. Soc. Making it an ideal first book for the theory of nonlinear partial differentialequations...an excellent reference for a graduate course on nonlinear conservation laws. M. Laforest, Comp. Ph ys. Comm |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Scalar Conservation Laws | |
A Short Course in Difference Methods | |
Multidimensional Scalar Conservation Laws | |
The Riemann Problem for Systems | |
Existence of Solutions of the Cauchy Problem | |
Well | |
Posedness of the Cauchy Problem | |
Total Variations, Compactness etc | |
The Method of Vanishing Viscosity | |
Answers and Hints | |
References | |
Index. | |
ISBN: | 9783642239113 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied Mathematical Sciences, 0066-5452 : v152 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Numerical analysis , Engineering mathematics |
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Call number: | SPRINGER-2010-9783642040481:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Conservation Laws in Continuum Physics [electronic resource] |
Author(s): |
Constantine M Dafermos |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the developmentof the mathematical t heory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and thequalitative theory of partial differential equations , whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems ofconservation laws who wish to learn about the connection with classical physics (b) specialists in continuum mechanics who may need analytical tools (c) experts in numerical analysis who wish to learn the underlying mathematicaltheory and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of cons ervation laws. New to the 3rd edition is an account of the early history of the subject, spanning the period between 1800to 1957. Also new is a chapter recounting the recent solution of open problems of long standing in classical aerodynamics. Furthermore , the presentation of a number of topics in the previous edition has been revised and brought up todate, and the collection of applications has been substantially enriched. The bibliography, also expanded and updated, now comprises over fifteen hundred ti tles. From the reviews of the 2nd edition: The author is known as one of theleading experts in the field. His masterly written book is, surely, the most complete exposition in the subject. Evgeniy Panov, Zentralblatt MATH This book is sure to convince eve ry reader that working in this area is challenging,enlightening, and joyful. Katarina Jegdic, SIAM Review |
Note: | Springer eBooks |
Contents: | Preface |
Acknowledgments | |
Introduction | |
A Sketch of the Early History of Hyperbolic Conservation Laws | |
I.Balance Laws | |
II.Introduction to Continuum Physics | |
III.Hyperbolic Systems of Balance Laws | |
IV.The Cauchy Problem | |
V.Entropy and the Stability of Classical Solutions | |
VI.The L1 Theory for Scalar Conservation Laws | |
VII.Hyperbolic Systems of Balance Laws in One | |
Space Dimension | |
VIII.Admissible Shocks | |
IX.AdmissibleWave Fans and the Riemann Problem | |
X.Generalized Characteristics | |
XI.Genuinely Nonlinear Scalar Conservation Laws | |
XII.Genuinely Nonlinear Systems of T | |
ISBN: | 9783642040481 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v325 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mechanics , Thermodynamics , Materials , Mechanical engineering |
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Call number: | SPRINGER-2008-9783540769675:ONLINE Show nearby items on shelf |
Title: | Jets From Young Stars III [electronic resource] : Numerical MHD and Instabilities |
Author(s): |
S Massaglia G Bodo A Mignone P Rossi |
Date: | 2008 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume contains the lecture notes of the Third JETSET School on Jets from Young Stars focussing on Numerical MHD and Instabilities. The introductory lectures presented here cover the basic concepts of the numerical methodsfor the integration of hydrodynamic and magnetohydrodynamic equations and of the applications of these methods to the treatment of the instabilities relevant for the physics of stellar jets. The first part of the book contains anintroduction to the finite difference and finite volume methods for computing the solutions of hyperbolic partial differential equations and a discussion of approximate Riemann solvers for both hydrodynamic and magnetohydrodynamicproblems. The second part is devoted to the discussion of some of the main instability processes that may take place in stellar jets, namely: the Kelvin-Helmholtz, the radiative shock, the pressure driven and the thermal instabilities.Graduate students and young scientists will benefit from this book by learning how to use the fundamental tools used in computational astrophysical jet research |
Note: | Springer eBooks |
Contents: | Computational Methods for Hyperbolic Equations |
Shock | |
Capturing Schemes in Computational MHD | |
The Kelvin | |
Helmholtz Instability | |
Pressure | |
Driven Instabilities in Astrophysical Jets | |
Thermal Instabilities | |
The Oscillatory Instability of Radioactive Shock Waves | |
Index | |
ISBN: | 9783540769675 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v754 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astrophysics |
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Call number: | SPRINGER-2007-9783540715849:ONLINE Show nearby items on shelf |
Title: | Numerical Treatment of Partial Differential Equations [electronic resource] : Translated and revised by Martin Stynes |
Author(s): |
Christian Grossmann Hans-Gorg Roos Martin Stynes |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book deals with discretization techniques for elliptic, parabolic and hyperbolic partial differential equations. It provides an introduction to the main principles of discretizations and presents to the reader the ideas andanalysis of advanced n umerical methods in this area. It is the authors' aim to give mathematically-inclined students, scientists and engineers a textbook that contains all the basic discretization techniques for the three fundamentaltypes of partial differential equations and in which the reader can find analytical tools, properties of discretizations, and some advice on algorithmic aspects. The book also covers recent research developments: for instance,introductions are given to a posteriori error estimation, discontinuous G alerkin methods, and optimal control for partial differential equations---these topics of current interest are rarely considered in other textbooks. While finiteelement methods are the main focus of the book, finite difference methods and finite volume te chniques are also presented. Furthermore, the book provides the basic tools needed to solve the discrete problems generated, while chapterson singularly perturbed problems, variational inequalities and optimal control illuminate special topics that reflec t the research interests of the authors |
Note: | Springer eBooks |
Contents: | Notation |
1 Basics | |
2 Finite Difference Methods | |
3 Weak Solutions | |
4 The Finite Element Method | |
5 Finite Element Methods for Unsteady Problems | |
6 Singularly Perturbed Boundary Value Problems | |
7 Variational Inequalities, Optimal Control | |
8 Numerical Methods for Discretized Problems | |
Bibliography: Textbooks and Monographs | |
Bibliography:Original Papers | |
Index | |
ISBN: | 9783540715849 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Numerical analysis |
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Call number: | SPRINGER-2007-9780387493190:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations [electronic resource] |
Author(s): |
Jrgen Jost |
Date: | 2007 |
Edition: | Second Edition |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with aview towards nonline ar problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methodsfor obtaining estimates for solutions of el liptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, aswell as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations. For the new edition the author has added a new chapter on reaction-diffusion equations andsystems. There is also new material on Neumann boundary value problems, Poincar inequal ities, expansions, as well as a new proof of the Hlder regularity of solutions of the Poisson equation. Jrgen Jost is Co-Director of the MaxPlanck Institute for Mathematics in the Sciences and Professor of Mathematics at the University of Leipzig. He is t he author of a number of Springer books, including Dynamical Systems (2005), Postmodern Analysis (3rd ed. 2005, alsotranslated into Japanese), Compact Riemann Surfaces (3rd ed. 2006) and Riemannian Geometry and Geometric Analysis (4th ed., 2005). The pres ent book is an expanded translation of the original German version, PartielleDifferentialgleichungen (1998). About the first edition: Because of the nice global presentation, I recommend this book to students and young researchers who need the now classic al properties of these second-order partial differentialequations. Teachers will also find in this textbook the basis of an introductory course on second-order partial differential equations. - Al |
Note: | Springer eBooks |
Contents: | The Laplace equation as the prototype of an elliptic partial differential equation of 2nd order |
The maximum principle | |
Existence techniques I: methods based on the maximum principle | |
Existence techniques II: Parabolic methods. The Heat equation | |
Reaction Diffusion Equations and Systems | |
The wave equation and its connections with the Laplace and heat equations | |
The heat equation, semigroups, and Brownian motion | |
The Dirichlet principle. Variational methods for the solution of PDEs (Existence techniques III) | |
Sobolev spaces and L2 regularity theory | |
Strong solutions | |
The reg | |
ISBN: | 9780387493190 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v214 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2005-9783540290896:ONLINE Show nearby items on shelf |
Title: | Hyberbolic Conservation Laws in Continuum Physics [electronic resource] |
Author(s): |
Constantine M Dafermos |
Date: | 2005 |
Edition: | Second Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This masterly exposition of the mathematical theory of hyperbolic system for conservation laws brings out the intimate connection with continuum thermodynamics, by emphasising issues in which the analysis may reveal somethingabout the physics and, in return, the underlying physical structure may direct and drive the analysis. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of thequalitative theory of partial differential equations, whereas the required notions from continuum physics are introduced from scratch. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolicsystems of conservation laws who wish to learn about the connection with cla ssical physics (b) specialists in continuum mechanics who may need analytical tools (c) experts in numerical analysis who wish to learn the underlyingmathematical theory and (d) analysts and graduate students who seek introduction to the theory of hyperbo lic systems of conservation laws. The 2nd edition contains a new chapter recounting the exciting recent developments on thevanishing viscosity method. Numerous new sections have been incorporated in preexisting chapters, to introduce newly derived results or present older material, omitted in the first edition, whose relevance and importance has beenunderscored by current trends in research. In addition, a substantal portion of the original text has been revamped so as to streamline the exposition, enrich the collection of examples and improve the notation. The bibliography hasbeen updated and expanded as well, now comprising over one thousand titles |
Note: | Springer eBooks |
Contents: | Balance Laws |
Introductioin to Continuum Physics | |
Hyperbolic Systems of Balance Laws | |
The Cauchy Problem | |
Entropy and the Stability of Classical Solutions | |
The L1 Theory for Scalar Conservation Laws | |
Hyperbolic Systems of Balance Laws in One | |
Space Dimension | |
Admissible Shocks | |
Admissible Wave Fans and the Riemann Problem | |
Generalized Characteristics | |
Genuinely Nonlinear Scalar Conservation Law | |
Genuinely Nonlinear Systems of Two Conservation Laws | |
The Random Choice Method | |
The Front Tracking Method and Standard Riemann Semigroups | |
Construction of BV Volutions by the | |
ISBN: | 9783540290896 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v325 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mechanics , Thermodynamics |
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Call number: | SPRINGER-2003-9783642557699:ONLINE Show nearby items on shelf |
Title: | Computational Partial Differential Equations Numerical Methods and Diffpack Programming |
Author(s): |
Hans Petter Langtangen |
Date: | 2003 |
Edition: | Second Edition |
Size: | 1 online resource (862 p.) |
Note: | 10.1007/978-3-642-55769-9 |
Contents: | 1 Getting Started -- 1.1 The First Diffpack Encounter -- 1.2 Overview of Application Examples -- 1.3 Steady One-Dimensional Heat Conduction -- 1.5 Projects -- 1.6 About Programming with Objects -- 1.7 Coding the PDE Simulator as a |
Class -- 1.8 Projects -- 2 Introduction to Finite Element Discretization -- 2.1 Weighted Residual Methods -- 2.2 Time Dependent Problems -- 2.3 Finite Elements in One Space Dimension -- 2.4 Example: A ID Wave Equation -- 2.5 Naive | |
Implementation -- 2.6 Projects -- 2.7 Higher-Dimensional Finite Elements -- 2.8 Calculation of Derivatives -- 2.9 Convection-Diffusion Equations -- 2.10 Analysis of the Finite Element Method -- 3 Programming of Finite Element Solvers | |
-- 3.1 A Simple Program for the Poisson Equation -- 3.2 Increasing the Flexibility -- 3.3 Some Visualization Tools -- 3.4 Some Useful Diffpack Features -- 3.5 Introducing More Flexibility -- 3.6 Step-by-Step Development of a Diffpack | |
Solver -- 3.7 Adaptive Grids -- 3.8 Projects -- 3.9 A Convection-Diffusion Solver -- 3.10 A Heat Equation Solver -- 3.11 A More Flexible Heat Equation Solver -- 3.12 Visualization of Time-Dependent Fields -- 3.13 A Transient Heat | |
Transfer Application -- 3.14 Projects -- 3.15 Efficient Solution of the Wave Equation -- 4 Nonlinear Problems -- 4.1 Discretization and Solution of Nonlinear PDEs -- 4.2 Software Tools for Nonlinear Finite Element Problems -- 4.3 | |
Projects -- 5 Solid Mechanics Applications -- 5.1 Linear Thermo-Elasticity -- 5.2 Elasto-Viscoplasticity -- 6 Fluid Mechanics Applications -- 6.1 Convection-Diffusion Equations -- 6.2 Shallow Water Equations -- 6.3 An Implicit Finite | |
Element Navier-Stokes Solver -- 6.4 A Classical Finite Difference Navier-Stokes Solver -- 6.5 A Fast Finite Element Navier-Stokes Solver -- 6.6 Projects -- 7 Coupled Problems -- 7.1 Fluid-Structure Interaction Squeeze-Film Damping -- | |
7.2 Fluid Flow and Heat Conduction in Pipes -- 7.3 Projects -- B.7 Optimizing Diffpack Codes -- A Mathematical Topics -- A.1 Scaling and Dimensionless Variables -- A.2 Indicial Notation -- A.3 Compact Notation for Difference Equations | |
-- A.4 Stability and Accuracy of Difference Approximations -- A.4.1 Typical Solutions of Simple Prototype PDEs -- A.4.2 Physical Significance of Parameters in the Solution -- A.4.3 Analytical Dispersion Relations -- A.4.4 Solution of | |
Discrete Equations -- A.4.5 Numerical Dispersion Relations -- A.4.6 Convergence -- A.4.7 Stability -- A.4.8 Accuracy -- A.4.9 Truncation Error -- A.4.10 Traditional von Neumann Stability Analysis -- A.4.11 Examples: Analysis of the | |
Heat Equation -- A.5 Exploring the Nature of Some PDEs -- A.5.1 A Hyperbolic Equation -- A.5.2 An Elliptic Equation -- A.5.3 A Parabolic Equation -- A.5.4 The Laplace Equation Solved by a Wave Simulator -- A.5.5 Well-Posed Problems -- | |
B Diffpack Topics -- B.1 Brief Overview of Important Diffpack Classes -- B.2 Diffpack-Related Operating System Interaction -- B.2.1 Unix -- B.2.2 Windows -- B.3 Combining Diffpack with Other Types of Software -- B.3.1 Calling Other | |
Software Packages from Diffpack -- B.3.2 Calling Diffpack from Other Types of Software -- B.4. Basic Diffpack Features -- B.4.1 Diffpack Man Pages -- B.4.2 Standard Command-Line Options -- B.4.3 Generalized Input and Output -- B.4.4 | |
Automatic Verification of a Code -- B.5 Visualization Support -- B.5.1 Curves -- B.5.2 Scalar and Vector Fields -- B.6 Details on Finite Element Programming -- B.6.1 Basic Functions for Finite Element Assembly -- B.6.2 Using Functors | |
for the Integrands -- B.6.3 Integrating Quantities over the Grid or the Boundary -- B.6.4 Class Relations in the Finite Element Engine -- C Iterative Methods for Sparse Linear Systems -- C.1 Classical Iterative Methods -- C.1.1 A | |
General Framework -- C.1.2 Jacobi, Gauss-Seidel, SOR, and SSOR Iteration -- C.2 Conjugate Gradient-Like Iterative Methods -- C.2.1 Galerkin and Least-Squares Methods -- C.2.2 Summary of the Algorithms -- C.2.3 A Framework Based on the | |
Error -- C.3 Preconditioning -- C.3.1 Motivation and Basic Principles -- C.3.2 Classical Iterative Methods as Preconditioners -- C.3.3 Incomplete Factorization Preconditioners -- C.4 Multigrid and Domain Decomposition Methods -- C.4.1 | |
Domain Decomposit ion -- C.4.2 Multigrid Methods -- D Software Tools for Solving Linear Systems -- D.1 Storing and Initializing Linear Systems -- D.1.1 Vector and Matrix Formats -- D.1.2 Detailed Matrix Examples -- D.1.3 Representation | |
of Linear Systems -- D.2 Programming with Linear Solvers -- D.2.1 Gaussian Elimination -- D.2.2 A Simple Demo Program -- D.2.3 A 3D Poisson Equation Solver -- D.3 Classical Iterative Methods -- D.4 Conjugate Gradient-like Methods -- | |
D.4.1 Symmetric Systems -- D.4.2 Nonsymmetric Systems -- D.5 Preconditioning Strategies -- D.6 Convergence History and Stopping Criteria -- D.7 Example: Implicit Methods for Transient Diffusion -- D.8 High-Level Stencil Programming of | |
Finite Difference Schemes -- D.8.1 Finite Difference Stencils -- D.8.2 Basic Structure of a Stencil-Based Simulator -- D.8.3 Defining the Stencils | |
ISBN: | 9783642557699 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Texts in Computational Science and Engineering: 1 |
Keywords: | Computer science , Software engineering , Computers , Mathematical analysis , Analysis (Mathematics) , Computer mathematics , Physics , Computational intelligence , Computer Science , Theory of Computation , Analysis , Software Engineering/Programming and Operating Systems , Computational Mathematics and Numerical Analysis , Computational Intelligence , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2003-9781461200475:ONLINE Show nearby items on shelf |
Title: | Perturbation Methods for Differential Equations |
Author(s): |
Bhimsen K Shivamoggi |
Date: | 2003 |
Size: | 1 online resource (354 p.) |
Note: | 10.1007/978-1-4612-0047-5 |
Contents: | 1 Asymptotic Series and Expansions -- 1.1 Introduction -- 1.2 Taylor Series Expansions -- 1.3 Gauge Functions -- 1.4 Asymptotic Series and Expansions -- 1.5 Asymptotic Solutions of Differential Equations -- 1.6 Exercises -- 2 Regular |
Perturbation Methods -- 2.1 Introduction -- 2.2 Algebraic Equations -- 2.3 Ordinary Differential Equations -- 2.4 Partial Differential Equations -- 2.5 Applications to Fluid Dynamics: Decay of a Line Vortex -- 2.6 Exercises -- 2.7 | |
Appendix. Review of Partial Differential Equations -- 3 The Method of Strained Coordinates/Parameters -- 3.1 Introduction -- 3.2 Poincaré-Lindstedt-Lighthill Method of Perturbed Eigenvalues -- 3.3 Eigenfunction Expansion Method -- 3.4 | |
Lighthill’s Method of Shifting Singularities -- 3.5 Pritulo’s Method of Renormalization -- 3.6 Wave Propagation in an Inhomogeneous Medium -- 3.7 Applications to Solid Mechanics: Nonlinear Buckling of Elastic Columns -- 3.8 | |
Applications to Fluid Dynamics -- 3.9 Applications to Plasma Physics -- 3.10 Limitations of the Method of Strained Parameters -- 3.11 Exercises -- 3.12 Appendix 1. Fredholm’s Alternative Theorem -- 3.13 Appendix 2. Floquet Theory -- | |
3.14 Appendix 3. Bifurcation Theory -- 4 Method of Averaging -- 4.1 Introduction -- 4.2 Krylov-Bogoliubov Method of Averaging -- 4.3 Krylov-Bogoliubov-Mitropolski Generalized Method of Averaging -- 4.4 Whitham’s Averaged Lagrangian | |
Method -- 4.5 Hamiltonian Perturbation Method -- 4.6 Applications to Fluid Dynamics: Nonlinear Evolution of Modulated Gravity Wave Packet on the Surface of a Fluid -- 4.7 Exercises -- 4.8 Appendix 1. Review of Calculus of Variations -- | |
4.9 Appendix 2. Hamilton-Jacobi Theory -- 5 The Method of Matched Asymptotic Expansions -- 5.1 Introduction -- 5.2 Physical Motivation -- 5.3 The Inner and Outer Expansions -- 5.4 Hyperbolic Equations -- 5.5 Elliptic Equations -- 5.6 | |
Parabolic Equations -- 5.7 Interior Layers -- 5.8 Latta’s Method of Composite Expansions -- 5.9 Turning Point Problems -- 5.10 Applications to Fluid Dynamics: Boundary-Layer Flow Past a Flat Plate -- 5.11 Exercises -- 5.12 Appendix 1. | |
Initial-Value Problem for Partial Differential Equations -- 5.13 Appendix 2. Review of Nonlinear Hyperbolic Equations -- 6 Method of Multiple Scales -- 6.1 Introduction -- 6.2 Differential Equations with Constant Coefficients -- 6.3 | |
Struble’s Method -- 6.4 Differential Equations with Slowly Varying Coefficients -- 6.5 Generalized Multiple-Scale Method -- 6.6 Applications to Solid Mechanics: Dynamic Buckling of a Thin Elastic Plate -- 6.7 Applications to Fluid | |
Dynamics -- 6.8 Applications to Plasma Physics -- 6.9 Exercises -- 7 Miscellaneous Perturbation Methods -- 7.1 A Quantum-Field-Theoretic Perturbative Procedure -- 7.2 A Perturbation Method for Linear Stochastic Differential Equations | |
-- 7.3 Exercises | |
ISBN: | 9781461200475 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Differential equations , Applied mathematics , Engineering mathematics , Computer mathematics , Computational intelligence , Mathematics , Ordinary Differential Equations , Computational Mathematics and Numerical Analysis , Applications of Mathematics , Computational Intelligence |
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Call number: | SPRINGER-2002-9783322802279:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Partial Differential Equations Theory, Numerics and Applications |
Author(s): |
Andreas Meister |
Date: | 2002 |
Size: | 1 online resource (320 p.) |
Note: | 10.1007/978-3-322-80227-9 |
Contents: | 1 Hyperbolic Conservation Laws and Industrial Applications -- 1.1 Transport theorem and balance laws -- 1.2 Linear initial and boundary value problems -- 1.3 Weak solutions and entropy -- 1.4 Systems of conservation laws -- 2 Central |
Schemes and Systems of Balance Laws -- 2.1 Second order central schemes -- 2.2 High order central schemes -- 2.3 Multidimensional central schemes -- 2.4 Treatment of the source -- Further developments -- 3 Methods on unstructured | |
grids, WENO and ENO Recovery techniques -- 3.1 Introduction to finite volume approximations -- 3.2 Governing equations -- 3.3 Finite volume approximations -- 3.4 Time stepping schemes -- 3.5 Remarks on the philosophy of ENO schemes -- | |
3.6 Polynomial recovery -- 3.7 WENO approximations -- 3.8 The theory of optimal recovery -- 3.9 Grid adaptivity for box methods -- 3.10 Error and residual -- 3.11 Experience with L2 -- 3.12 The dual graph-norm -- 3.13 Closing of the | |
circle: L2 meets dual graph norm -- 4 Pressure-Correction Methods for all Flow Speeds -- 4.1 Introduction -- 4.2 Conservation Equations -- 4.3 Pressure-Correction Equation for Incompressible Flows -- 4.4 Pressure-Correction Equation | |
for Compressible Flows -- 4.5 Solution Algorithm for all Flow Speeds -- 4.6 FV-Method for Arbitrary Control Volumes -- 4.7 Pressure-Correction Algorithm for FV-Methods -- 4.8 Implementation of Boundary Conditions -- 4.9 Examples of | |
Application -- 4.10 Conclusions -- 5 Computational Fluid Dynamics and Aeroacoustics for Low Mach Number Flow -- 5.1 Introduction -- 5.2 Non-Dimensionalisation of the Governing Equations -- 5.3 The Incompressible Limit of a Compressible | |
Fluid Flow -- 5.4 Numerical Methods for Low Mach Number Fluid Flow -- 5.5 Sound Generation and Sound Propagation -- 5.6 Multiple Scale Considerations -- 5.7 Numerical Aeroacoustics -- 5.8 Conclusions | |
ISBN: | 9783322802279 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , Mathematics , Partial Differential Equations , Analysis |
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Call number: | SPRINGER-2002-9781461501138:ONLINE Show nearby items on shelf |
Title: | Recent Progress in Computational and Applied PDES Conference Proceedings for the International Conference Held in Zhangjiajie in July 2001 |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (432 p.) |
Note: | 10.1007/978-1-4615-0113-8 |
Contents: | Shift Theorems for the Biharmonic Dirichlet Problem -- Numerical Methods for Schrödinger Equations -- Inverse Doping Problems for Semiconductor Devices -- Superconductivity Analogies, Ferroelectricity and Flow Defects in Liquid |
Crystals -- Bayesian Inpainting Based on Geometric Image Models -- A Combination of Algebraic Multigrid Algorithms with the Conjugate Gradient Technique -- Basic Structures of Superconvergence in Finite Element Analysis -- A Posteriori | |
Error Estimates for Mixed Finite Elements of a Quadratic Control Problem -- Superconvergence of Least-Squares Mixed Finite Element Approximations over Quadrilaterals -- A Posteriori Error Analysis and Adaptive Methods for Parabolic | |
Problems -- Numerical Computation of Quantized Vortices in the Bose-Einstein Condensate -- An Optimization Algorithm for the Meteorological Data Assimilation Problem -- Analytic Aspects of Yang-Mills Fields -- The Shape Optimization of | |
Axisymmetric Structures Based on Fictitious Loads Variable -- A New Kind of Preconditioner for Interface Equations of Mortar Multipliers on Subspaces -- An Optimal Error Estimate for an h-p Clouds Galerkin Method -- Some Problems in | |
Large Scale Non-Hermitian Matrix Computations -- Global Propagation of Regular Nonlinear Hyperbolic Waves -- Numerical Simulation of 3D Shallow Water Waves on Sloping Beach -- High Performance Finite Element Methods -- Algebraic | |
Multigrid Method On Lattice Block Materials -- On the Existence of Symmetric Three Dimensional Finger Solutions -- A Combined Mixed Finite Element and Discontinuous Galerkin Method for Mis-cible Displacement Problem in Porous Media -- | |
Numerical Simulation and Coarse-Graining of Large Particle Systems -- Modeling and Simulations for Electrochemical Power Systems -- On the Error Estimates of the Fully Discrete Nonlinear Galerkin Method with Variable Modes to | |
Kuramoto-Sivashinsky Equation -- A Perturbed Density-Dependent Navier-Stokes Equation -- A Cascadic Multigrid Method for Solving Obstacle Problems -- The Fundamental Equation of Two-Dimensional Layer Flows of the Melt Feedstock in the | |
Powder Injection Molding Process | |
ISBN: | 9781461501138 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer science , Partial differential equations , Applied mathematics , Engineering mathematics , Computer mathematics , Algorithms , Mathematics , Applications of Mathematics , Computational Mathematics and Numerical Analysis , Mathematics of Computing , Partial Differential Equations , Algorithms |
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Call number: | SPRINGER-2002-9781461201113:ONLINE Show nearby items on shelf |
Title: | Integral Methods in Science and Engineering |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (264 p.) |
Note: | 10.1007/978-1-4612-0111-3 |
Contents: | Content -- 1 Use of Elastodynamic Reciprocity Theorems for Field Calculations -- 2 Linear Solvers for the Galerkin Boundary Element Method -- 3 Reciprocity of Hopf ’s and Feautrier’s Operators in Radiation Transport Theory -- 4 |
Spectral Approximation of Weakly Singular Integrable Kernels Using Projections -- 5 Effect of Imperfect Interface on Thermal Inclusion with an Interior Radial Crack -- 6 An Integrodifferential Equation of Atomic Diffusion -- 7 | |
Nonradiating Dislocations in Uniform Supersonic Motion in Anisotropic Linear Elastic Solids -- 8 On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables -- 9 On the | |
Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables -- 10 An Initial-Boundary Value Problem for Thermoelastic Plates -- 11 A Global Existence Result for Functional Differential Equations | |
with Causal Operators -- 12 Direct Stiffness-Modification Route to Linear Consistency Between Incompatible Finite Element Meshes -- 13 Nonlinear Dynamic Analysis of a Curved Beam Structure Using a Finite Element Method -- 14 Seminal | |
Ideas in Integral Methods -- 15 Mixed Boundary Value Problem with Two Displacement Boundaries for Thin Plate Bending -- 16 Use of Cross-Referencing for Solving the Parameter Choice Problem in Generalized CLS -- 17 Numerical Technique | |
for Solving an Ordinary Differential Equation by Picard’s Method -- 18 On a Class of Boundary Conditions Splitting Coupled Thermoelasticity Problems -- 19 Recent Mathematical Developments for Functionally Graded Linearly Elastic | |
Materials -- 20 Ground Vibration Dynamics During Pile Hammering -- 21 Connection Between Liquid Crystal Theory and Plate Theory -- 22 Product Integration Quadratures for the Radiative Transfer Problem with Hopf’s Kernel -- 23 A | |
Numerical Scheme for Determining Diffraction Coefficients in Anisotropic Materials -- 24 Effect of Imperfect Inclusion/Matrix Interaction Between a Circular Inclusion and a Radial Matrix Crack -- 25 Neutral Equations with Causal | |
Operators -- 26 Computation of Free-Surface Flows Under the Influence of Pressure Distribution -- 27 Solution of Eigenvalue Problems for Rectangular Plates by Differential Transformation -- 28 Free Vibrations of Structural Hyperbolic | |
Paraboloid Networks -- 29 Sharp Invertibility Results for Layer Potentials in 2D -- 30 An Enhanced Theory of Bending of Plates -- 31 Comparison of Zonal, Spectral Solutions for Compressible Boundary Layer and Navier—Stokes Equations -- | |
32 Hybrid Laplace and Poisson Solvers I: Dirichlet Boundary Conditions -- 33 Estimation of Boundary Conditions from Different Experimental Data Using the LTSNMethod and Tikhonov Regularization -- 34 Analytical-Numerical Treatment of | |
the One-Phase Stefan Problem with Constant Applied Heat Flux -- 35 Integral Equations Arising in Boundary Value Problems at Resonance -- 36 Thermal Stress Analysis of an Elliptic Inclusion with Imperfect Interface Embedded in an | |
Infinite Elastic Medium -- 37 Three-Dimensional Elasticity Solutions for Anisotropic and Inhomogeneous Plates and Shells -- 38 A Circular Inclusion with Homogeneous Interface -- 39 Multiwavelets for Geometrically Complicated Domains | |
and Their Application to Boundary Element Methods -- 40 Mathematical Investigation of Contact Problems with Friction in Fracture Dynamics | |
ISBN: | 9781461201113 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Integral equations , Differential equations , Partial differential equations , Fluid mechanics , Mathematics , Ordinary Differential Equations , Integral Equations , Partial Differential Equations , Engineering Fluid Dynamics |
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Call number: | SPRINGER-2002-9780306470967:ONLINE Show nearby items on shelf |
Title: | Applied Nonlinear Analysis |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (548 p.) |
Note: | 10.1007/b114992 |
Contents: | On the Regularity and Decay of the Weak Solutions to the Steady-State Navier-Stokes Equations in Exterior Domains -- A Note on Turbulence Modeling -- L2,?-Regularity for Nonlinear Elliptic Systems of Second Order -- On the Fredholm |
Alternative for Nonlinear Homogeneous Operators -- Existence of Solutions to a Nonlinear Coupled Thermo-Viscoelastic Contact Problem with Small Coulomb Friction -- On Some Global Existence Theorems for a Semilinear Parabolic Problem -- | |
Bifurcation of Solutions to Reaction-Diffusion Systems with Jumping Nonlinearities -- Coupled Problems for Viscous Incompressible Flow in Exterior Domains -- Remarks on the Determinant in Nonlinear Elasticity and Fracture Mechanics -- | |
On Modelling of Czochralski Flow, the Case of Non Plane Free Surface -- Symmetric Stationary Solutions to the Plane Exterior Navier-Stokes Problem for Arbitrary Large Reynolds Number -- A Fictitious-Domain Method with Distributed | |
Multiplier for the Stokes Problem -- Reliable Solution of a Unilateral Contact Problem with Friction, Considering Uncertain Input Data -- Domain Decomposition Algorithm for Computer Aided Design -- Solution of Convection-Diffusion | |
Problems with the Memory Terms -- On Global Existence of Smooth Two-Dimensional Steady Flows for a Class of Non-Newtonian Fluids under Various Boundary Conditions -- Viscosity Solutions for Degenerate and Nonmonotone Elliptic Equations | |
-- Remarks on Compactness in the Formation of Fine Structures -- Finite Element Analysis of a Nonlinear Elliptic Problem with a Pure Radiation Condition -- Estimates of Three-Dimensional Oseen Kernels in Weighted LP Spaces -- Hardy’s | |
Inequality and Spectral Problems of Nonlinear Operators -- Remarks on the Regularity of Solutions of Elliptic Systems -- Singular Perturbations in Optimal Control Problem -- Optimization of Steady Flows for Incompressible Viscous | |
Fluids -- Asymptotic Behaviour of Compressible Maxwell Fluids in Exterior Domains -- Regularity of a Suitable Weak Solution to the Navier-Stokes Equations as a Consequence of Regularity of One Velocity Component -- On a Class of High | |
Resolution Methods for Solving Hyperbolic Conservation Laws with Source Terms -- On the Decay to Zero of the L2-Norms of Perturbations to a Viscous Compressible Fluid Motion Exterior to a Compact Obstacle -- Global Behavior of | |
Compressible Fluid with a Free Boundary and Large Data -- A Geometric Approach to Dynamical Systems in ?N -- On a Three-Dimensional Convective Stefan Problem for a Non-Newtonian Fluid -- Replacing H by H2 -- Flow of Shear Dependent | |
Electrorheological Fluids: Unsteady Space Periodic Case -- On Decay of Solustions to the Navier-Stokes Equations -- Convexity Conditions for Rotationally Invariant Functions in Two Dimensions -- Hölder Continuity of Weak Solutions to | |
Certain Nonlinear Parabolic Systems in Two Space Dimensions | |
ISBN: | 9780306470967 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Partial differential equations , Mechanics , Mathematics , Analysis , Partial Differential Equations , Functional Analysis , Mechanics , Numeric Computing |
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Call number: | SPRINGER-2001-9783034883726:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Problems: Theory, Numerics, Applications Eighth International Conference in Magdeburg, February/March 2000 Volume II |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (472 p.) |
Note: | 10.1007/978-3-0348-8372-6 |
Contents: | Volume -- Convergence of a Staggered Lax-Friedrichs Scheme on Unstructured 2D-grids -- Viscous and Relaxation Approximations to Heteroclinic Traveling Waves of Conservation Laws with Source Terms -- Adaptive FE Methods for |
Conservation Equations -- The Entropy Rate Admissibility Criterion for a Phase Transition Problem -- Dust Formation in Turbulent Media -- Existence of a Weak Solution for a Quasilinear Wave Equation with Boundary Condition -- | |
Asymptotic Behavior of Entropy Weak Solution for Hyperbolic System with Damping -- On the Existence of Semidiscrete Shock Profiles -- On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations | |
-- Composite Schemes on Triangular Meshes -- Asymptotic-Preserving (AP) Schemes for Multiscale Kinetic Equations:A Unified Approach -- A Kinetic Approach to Hyperbolic Systems and the Role of Higher Order Entropies -- Stationary Waves | |
for the Discrete Boltzmann Equations in the Half Space -- Divergence Corrections in the Numerical Simulation of Electromagnetic Wave Propagation -- Numerical Investigation of Examples of Unstable Viscous Shock Waves.. -- Proving | |
Existence of Nonlinear Differential Equations Using Numerical Approximations -- Asymptotic Behavior of Hyperbolic Boundary Value Problems with Relaxation Term -- A Wave Propagation Algorithm for the Solution of PDEs on the Surface of a | |
Sphere -- On the L1Stability of Multi-shock Solutions to the Riemann Problem… -- Stable, Oscillatory Viscous Profiles of Weak Shocks in Systems of Stiff Balance Laws -- Shallow Water Conservation Laws on a Sphere -- Riemann Solutions | |
for a Model of Combustion in Two-Phase Flow in Porous Media -- Theory of Three-Phase Flow Applied to Water-Alternating-Gas Enhanced Oil Recovery -- Preconditioned Krylov Subspace Methods for Hyperbolic Conservation Laws -- The Riemann | |
Problem for Nonlinear Elasticity -- ADER: Arbitrary-Order Non-Oscillatory Advection Schemes -- Extended Thermodynamics — the Physics and Mathematics of the Hyperbolic Equations of Thermodynamics -- Enforcing Gauss’ Law in Computational | |
Electromagnetics within a Finite-volume Framework -- Discrete BGK Models for Dynamic Phase Transitions in One-Dimension. -- An Adaptive Staggered Grid Scheme for Conservation Laws -- Solutions to Scalar Conservation Laws Where the Flux | |
is Discontinuous in Space and Time -- Overcompressive Shocks and Compound Shocks in 2D and 3D Magnetohydrodynamic Flows -- Aspects of a Numerical Procedure for Two-Phase Flow Models -- On a Nonexistence of Global Smooth Solutions to | |
Compressible Euler Equations -- Central Schemes for Balance Laws -- Estimates for Pseudo-differential and Hyperbolic Differential Equations via Fourier Integrals with Complex Phases -- Existence of Travelling Fronts for Nonlinear | |
Transport Equations -- Nonlinear Wave Propagation in Close to Hyperbolic Systems -- Shock-Wave Cosmology -- On a Second Order Residual Estimator for Nonlinear Conservation Laws. -- Error Estimates of Approximate Solutions for Nonlinear | |
Scalar Conservation Laws -- Solution of the Boltzmann Equation in Stiff Regime -- Characteristics and Riemann Invariants of the Kinetic Integrodifferential Equations of Bubbly Flow -- A LSQ-SPH Approach for Solving Compressible Viscous | |
Flows -- On Stability of Fast Shock Waves in Classical and Relativistic MHD -- Remarks on Hyperbolic Relaxation Systems -- Wave Interactions in Nonlinear Strings -- List of Participants -- Author Index | |
ISBN: | 9783034883726 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | ISNM International Series of Numerical Mathematics : 141 |
Keywords: | Mathematics , Partial differential equations , Numerical analysis , Mathematics , Numerical Analysis , Partial Differential Equations |
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Call number: | SPRINGER-2001-9781461302773:ONLINE Show nearby items on shelf |
Title: | Differential Equations and Nonlinear Mechanics |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (436 p.) |
Note: | 10.1007/978-1-4613-0277-3 |
Contents: | 1. Properties of the Radii of Stability and Instability -- 2. Extremal Solutions of Hemivariational Inequalities with D.C.Superpotentials -- 3. Degenerate Quasilinear Parabolic Problems With Slow Diffusions -- 4. Superasymptotic |
Perturbation Analysis of the Kelvin-Helmholtz Instability of Supersonic Shear Layers -- 5. Solitary Waves with Galilean Invariance in Dispersive Shallow-Water Flows -- 6. Discrete Dynamical Systems Described by Neutral Equations -- 7. | |
Oscillation of Third Order Differential Equations With and Without Delay -- 8. Numerical Techniques for Solving a Biharmonic Equation in a Sectorial Region -- 9. The Seamount on a Sloping Seabed Problem -- 10. Discrete Simulation in | |
Nonlinear Dynamics With Applications -- 11. Ergodic Type Solutions of Some Differential Equations -- 12. Synchronous Solutions of Delayed Neural Networks -- 13. Coherent Structures and Statistical Equilibrium States in a Model of | |
Dispersive Wave Turbulence -- 14. Fuzzy Sets and Fuzzy Differential Equations -- 15. Numerical Solutions of Coupled Parabolic Systems With Time Delays -- 16. Global Analysis for the Fluids of a Power-Law Type -- 17. Nonlinear | |
Hyperbolic Partial Differential and Volterra Integral Equations: Analytical and Numerical Approaches -- 18. Kronecker Product Operations of Tensors -- 19. Global Behavior of Solutions of a Certain Nth Order Differential Equation in the | |
Vicinity of an Irregular Singular Point -- 20. On the Modelling of Dissipative Processes -- 21. Pathwise Average Cost Per Unit Time Problem for Stochastic Differential Games With a Small Parameter -- 22. Interaction of Surface | |
Radiation With Natural Convection -- 23. Mathematical Results and Numerical Methods for Steady Incompressible Viscoelastic Fluid Flows -- 24. Full Conversion in Gas-Solid Reactions -- 25. New Analysis Procedure in Predicting Rotor | |
Vibration -- 26. Equivalent Conditions for Disconjugacy in Self-Adjoint Systems -- 27. Some Results on Reaction Diffusion Equations With Initial Time Difference -- 28. Dynamics of Neural Networks With Delay: Attractors and | |
Content-Addressable Memory -- 29. Invariant Sets and Global Attractor of a Class of Partial Differential Equations | |
ISBN: | 9781461302773 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 528 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Differential equations , Partial differential equations , Mechanics , Continuum mechanics , Mathematics , Analysis , Ordinary Differential Equations , Partial Differential Equations , Continuum Mechanics and Mechanics of Materials , Mechanics |
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Call number: | SPRINGER-2001-9781461202011:ONLINE Show nearby items on shelf |
Title: | Dynamic Equations on Time Scales An Introduction with Applications |
Author(s): |
Martin Bohner |
Date: | 2001 |
Size: | 1 online resource (358 p.) |
Note: | 10.1007/978-1-4612-0201-1 |
Contents: | 1. The Time Scales Calculus -- 1.1. Basic Definitions -- 1.2. Differentiation -- 1.3. Examples and Applications -- 1.4. Integration -- 1.5. Chain Rules -- 1.6. Polynomials -- 1.7. Further Basic Results -- 1.8. Notes and References -- |
2. First Order Linear Equations -- 2.1. Hilger's Complex Plane -- 2.2. The Exponential Function -- 2.3. Examples of Exponential Functions -- 2.4. Initial Value Problems -- 2.5. Notes and References -- 3. Second Order Linear Equations | |
-- 3.1. Wronskians -- 3.2. Hyperbolic and Trigonometric Functions -- 3.3. Reduction of Order -- 3.4. Method of Factoring -- 3.5. Nonconstant Coefficients -- 3.6. Hyperbolic and Trigonometric Functions II -- 3.7. Euler-Cauchy Equations | |
-- 3.8. Variation of Parameters -- 3.9. Annihilator Method -- 3.10. Laplace Transform -- 3.11. Notes and References -- 4. Self-Adjoint Equations -- 4.1. Preliminaries and Examples -- 4.2. The Riccati Equation -- 4.3. Disconjugacy -- | |
4.4. Boundary Value Problems and Green's Function -- 4.5. Eigenvalue Problems -- 4.6. Notes and References -- 5. Linear Systems and Higher Order Equations -- 5.1. Regressive Matrices -- 5.2. Constant Coefficients -- 5.3. Self-Adjoint | |
Matrix Equations -- 5.4. Asymptotic Behavior of Solutions -- 5.5. Higher Order Linear Dynamic Equations -- 5.6. Notes and References -- 6. Dynamic Inequalities -- 6.1. Gronwall's Inequality -- 6.2. Holder's and Minkowski's Inequalities | |
-- 6.3. Jensen's Inequality -- 6.4. Opial Inequalities -- 6.5. Lyapunov Inequalities -- 6.6. Upper and Lower Solutions -- 6.7. Notes and References -- 7. Linear Symplectic Dynamic Systems -- 7.1. Symplectic Systems and Special Cases -- | |
7.2. Conjoined Bases -- 7.3. Transformation Theory and Trigonometric Systems -- 7.4. Notes and References -- 8. Extensions -- 8.1. Measure Chains -- 8.2. Nonlinear Theory -- 8.3. Alpha Derivatives -- 8.4. Nabla Derivatives -- 8.5. | |
Notes and References -- Solutions to Selected Problems | |
ISBN: | 9781461202011 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Differential equations , Applied mathematics , Engineering mathematics , System theory , Computer mathematics , Mathematics , Analysis , Ordinary Differential Equations , Applications of Mathematics , Systems Theory, Control , Computational Mathematics and Numerical Analysis |
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Call number: | SPRINGER-2000-9781475732146:ONLINE Show nearby items on shelf |
Title: | Direct and Inverse Problems of Mathematical Physics |
Author(s): | |
Date: | 2000 |
Size: | 1 online resource (453 p.) |
Note: | 10.1007/978-1-4757-3214-6 |
Contents: | 1. Algorithms of the Asymptotic Nonlinear Analysis -- 2. Transmission Loss in a Depth-varying Ocean over a Poroelastic Seabed -- 3. Variation on (x, ?) Duality -- 4. Uniqueness of Continuation Theorems -- 5. Determination of a |
Distributed Inhomogeneity in a Two-layer Waveguide from Scattered Sound -- 6. Differentiability with Respect to Parameters of Integrated Semigroups -- 7. Boundedness of Pseudo-differential Operators on Hörmander Spaces -- 8. | |
Coefficient Identification in Elliptic Differential Equations -- 9. Quasi-exponential Solutions for Some PDE with Coefficients of Limited Regularity -- 10. Analytically Smoothing Effect for Schrödinger Type Equations with Variable | |
Coefficients -- 11. Initial Boundary Value Problem for the Viscous Incompressible Flows -- 12. Initial-boundary Value Problems for an Equation of Internal Waves in a Stratified Fluid -- 13. Homogenization of the System Equations of | |
High Frequency Nonlinear Acoustics -- 14. Identification of a Reflection Boundary Coefficient in an Acoustic Wave Equation by Optimal Control Techniques -- 15. Numerical Solutions to Acoustic Scattering in Shallow Oceans by Periodic | |
Wavelets -- 16. Solution of the Robin and Dirichlet Problem for the Laplace Equation -- 17. Existence and Decay of Solutions of some Nonlinear Degenerate Parabolic Equations -- 18. On Regularity Results for Variational-hemivariational | |
Inequalities -- 19. An Inverse Problem in Elastodynamics -- 20. Denseness of C0?(RN) in the Generalized Sobolev Spaces -- 21. Singularities of Reflected and Refracted the Riemann Functions of Elastic Wave Propagation Problems in | |
Stratified Media -- 22. Exact Boundary Controllability of a First Order, Non-linear Hyperbolic Equation with Non-local Integral Terms Arising in Epidemic Modeling -- 23. Singularities of Solutions for Nonlinear Hyperbolic Equations of | |
Second Order -- 24. Positive Solutions of Semilinear Elliptic Boundary Value Problems in Chemical Reactor Theory -- 25. Fast Solvers of the Lippman-Schwinger Equation -- 26. Inverse Source Problems for the Stokes System | |
ISBN: | 9781475732146 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | International Society for Analysis, Applications and Computation: 5 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Functions of complex variables , Partial differential equations , Applied mathematics , Engineering mathematics , Mathematical optimization , Physics , Mathematics , Partial Differential Equations , Analysis , Physics, general , Functions of a Complex Variable , Applications of Mathematics , Optimization |
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Call number: | SPRINGER-2000-9781447103776:ONLINE Show nearby items on shelf |
Title: | Numerical Methods for Partial Differential Equations |
Author(s): |
Gwynne A Evans |
Date: | 2000 |
Size: | 1 online resource (290 p.) |
Note: | 10.1007/978-1-4471-0377-6 |
Contents: | 1. Background Mathematics -- 1.1 Introduction -- 1.2 Vector and Matrix Norms -- 1.3 Gerschgorin’s Theorems -- 1.4 Iterative Solution of Linear Algebraic Equations -- 1.5 Further Results on Eigenvalues and Eigenvectors -- 1.6 |
Classification of Second Order Partial Differential Equations -- 2. Finite Differences and Parabolic Equations -- 2.1 Finite Difference Approximations to Derivatives -- 2.2 Parabolic Equations -- 2.3 Local Truncation Error -- 2.4 | |
Consistency -- 2.5 Convergence -- 2.6 Stability -- 2.7 The Crank-Nicolson Implicit Method -- 2.8 Parabolic Equations in Cylindrical and Spherical Polar Coordinates -- 3. Hyperbolic Equations and Characteristics -- 3.1 First Order | |
Quasi-linear Equations -- 3.2 Lax-Wendroff and Wendroff Methods -- 3.3 Second Order Quasi-linear Hyperbolic Equations -- 3.4 Reetangular Nets and Finite Difference Methods for Second Order Hyperbolic Equations -- 4. Elliptic Equations | |
-- 4.1 Laplace’s Equation -- 4.2 Curved Boundaries -- 4.3 Solution of Sparse Systems of Linear Equations -- 5. Finite Element Method for Ordinary Differential Equations -- 5.1 Introduction -- 5.2 The Collocation Method -- 5.3 The Least | |
Squares Method -- 5.4 The Galerkin Method -- 5.5 Symmetrie Variational Forrnulation -- 5.6 Finite Element Method -- 5.7 Some Worked Examples -- 6. Finite Elements for Partial Differential Equations -- 6.1 Introduction -- 6.2 | |
Variational Methods -- 6.3 Some Specific Elements -- 6.4 Assembly of the Elements -- 6.5 Worked Example -- 6.6 A General Variational Principle -- 6.7 Assembly and Solution -- 6.8 Solution of the Worked Example -- 6.9 Further | |
Interpolation Functions -- 6.10 Quadrature Methods and Storage Considerations -- 6.11 Boundary Element Method -- A. Solutions to Exercises -- References and Further Reading | |
ISBN: | 9781447103776 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Numerical analysis , Mathematics , Numerical Analysis , Analysis |
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Call number: | SPRINGER-1999-9789401146357:ONLINE Show nearby items on shelf |
Title: | Hyperbolic Functional Differential Inequalities and Applications |
Author(s): |
Zdzislaw Kamont |
Date: | 1999 |
Size: | 1 online resource (306 p.) |
Note: | 10.1007/978-94-011-4635-7 |
Contents: | 1 Initial Problems on the Haar Pyramid -- 1.1 Introduction -- 1.2 Functional differential inequalities -- 1.3 Weak functional differential inequalities -- 1.4 Comparison theorems for classical solutions -- 1.5 Applications of |
comparison theorems -- 1.6 Kamke functions -- 1.7 Uniqueness of classical solutions -- 1.8 Nonlinear systems -- 1.9 Haar inequality for nonlinear systems -- 1.10 Uniqueness and continuous dependence -- 1.11 Chaplygin method for initial | |
problems -- 2 Existence of Solutions on the Haar Pyramid -- 2.1 Introduction -- 2.2 Function spaces -- 2.3 Existence of classical solutions -- 2.4 Examples -- 2.5 Quasi — linear systems -- 2.6 Bicharacteristics of quasilinear systems | |
-- 2.7 Integral operators for initial problems -- 2.8 Existence of Carathéodory solutions -- 2.9 Uniqueness of generalized solutions -- 3 Numerical Methods for Initial Problems -- 3.1 Introduction -- 3.2 Functional difference | |
inequalities -- 3.3 Applications of functional difference inequalities -- 3.4 Almost linear problems -- 3.5 Error estimates of approximate solutions -- 3.6 Difference methods for nonlinear equations -- 3.7 Interpolating operators on | |
Haar pyramid -- 3.8 The Euler method for the Cauchy problem -- 3.9 Error estimates for the Euler method -- 3.10 Difference methods for almost linear equations -- 4 Initial Problems on Unbounded Domains -- 4.1 Introduction -- 4.2 | |
Bicharacteristics for quasilinear systems -- 4.3 Operator U? and its properties -- 4.4 Existence of weak solutions -- 4.5 Integral operators for quasilinear systems -- 4.6 Quasilinear systems in the second canonical form -- 4.7 | |
Uniqueness of solutions -- 4.8 Function spaces -- 4.9 Bicharacteristics of nonlinear functional differential equations -- 4.10 Integral functional equations -- 4.11 The existence of the sequence of successive approximations -- 4.12 | |
Convergence of the sequence {z(m), u(m)} -- 4.13 The main theorem -- 4.14 Some noteworthy particular cases -- 5 Mixed Problems for Nonlinear Equations -- 5.1 Introduction -- 5.2 Functional differential inequalities -- 5.3 Comparison | |
theorems for mixed problems -- 5.4 Chaplygin method for mixed problems -- 5.5 Approximate solutions -- 5.6 Difference methods for mixed problems -- 5.7 Functional difference equations with mixed conditions -- 5.8 Convergence of | |
difference methods -- 5.9 Interpolating operators -- 5.10 The Euler method for mixed problems -- 5.11 Bicharacteristics for mixed problems -- 5.12 Functional integral equations -- 5.13 Bicharacteristics of nonlinear mixed problems -- | |
5.14 Integral functional equations -- 5.15 The existence of solutions of nonlinear mixed problems -- 5.16 Uniqueness of weak solutions of mixed problems -- 6 Numerical Method of Lines -- 6.1 Introduction -- 6.2 Comparison theorem -- | |
6.3 Existence theorem and stability -- 6.4 Convergence of the method of lines -- 6.5 Examples of the numerical methods of lines -- 6.6 Differential difference inequalities for mixed problems -- 6.7 Method of lines for mixed problem -- | |
6.8 Modified method of lines -- 7 Generalized Solutions -- 7.1 Introduction -- 7.2 Quasi — equicontinuous operators for semilinear systems -- 7.3 Existence of solutions -- 7.4 Functional differential inequalities -- 7.5 Extremal | |
solutions of semilinear systems -- 7.6 Carathéodory solutions of functional differential inequalities -- 7.7 Existence of Carathéodory solutions -- 7.8 Functional differential problems with unbounded delay -- 7.9 Viscosity solutions of | |
functional differential inequalities -- 8 Functional Integral Equations -- 8.1 Introduction -- 8.2 Properties of a comparison problem -- 8.3 The existence and uniqueness of solutions -- 8.4 Examples of comparison problems -- 8.5 A | |
certain functional equation -- 8.6 Properties of the operator U -- 8.7 Nonlinear functional integral equations -- 8.8 Discretization of the Darboux problem -- 8.9 Solvability of difference problems -- 8.10 Nonlinear estimates -- 8.11 | |
Implicit difference methods | |
ISBN: | 9789401146357 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 486 |
Keywords: | Mathematics , Partial differential equations , Computer mathematics , Mathematics , Partial Differential Equations , Computational Mathematics and Numerical Analysis |
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Call number: | SPRINGER-1999-9783034886918:ONLINE Show nearby items on shelf |
Title: | Optimal Control of Partial Differential Equations International Conference in Chemnitz, Germany, April 20-25, 1998 |
Author(s): | |
Date: | 1999 |
Size: | 1 online resource (326 p.) |
Note: | 10.1007/978-3-0348-8691-8 |
Contents: | Well-posedness of Semilinear Heat Equations with Iterated Logarithms -- Uniform Stability of Nonlinear Thermoelastic Plates with Free Boundary Conditions -- Exponential Bases in Sobolev Spaces in Control and Observation Problems -- |
Sampling and Interpolation of Functions with Multi-Band Spectra and Controllability Problems -- Discretization of the Controllability Grammian in View of Exact Boundary Control: the Case of Thin Plates -- Stability of Holomorphic | |
Semigroup Systems under Nonlinear Boundary Perturbations -- Shape Control in Hyperbolic Problems -- Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints -- | |
Intrinsic P(2, 1) Thin Shell Models and Naghdi’s Models without A Priori Assumption on the Stress Tensor -- On the Approximate Controllability for some Explosive Parabolic Problems -- Fréchet-Differentiability and Sufficient Optimality | |
Conditions for Shape Functionals -- State Constrained Optimal Control for some Quasilinear Parabolic Equations -- Controllability property for the Navier-Stokes equations -- Shape Sensitivity and Large Deformation of the Domain for | |
Norton-Hoff Flows -- On a Distributed Control Law with an Application to the Control of Unsteady Flow around a Cylinder -- Homogenization of a Model Describing Vibration of Nonlinear Thin Plates Excited by Piezopatches -- Stabilization | |
of the Dynamic System of Elasticity by Nonlinear Boundary Feedback -- Griffith Formula and Rice-Cherepanov’s Integral for Elliptic Equations with Unilateral Conditions in Nonsmooth Domains -- A Domain Optimization Problem for a | |
Nonlinear Thermoelastic System -- Approximate Controllability for a Hydro-Elastic Model in a Rectangular Domain -- Noncooperative Games with Elliptic Systems -- Incomplete Indefinite Decompositions as Multigrid Smoothers for KKT | |
Systems -- Domain Optimization for the Navier-Stokes Equations by an Embedding Domain Method -- On the Approximation and Optimization of Fourth Order Elliptic Systems -- On the Existence and Approximation of Solutions for the Optimal | |
Control of Nonlinear Hyperbolic Conservation Laws -- Identification of Memory Kernels in Heat Conduction and Viscoelasticity -- Variational Formulation for Incompressible Euler Equation by Weak Shape Evolution | |
ISBN: | 9783034886918 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | ISNM International Series of Numerical Mathematics : 133 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Numerical analysis , Mathematics , Analysis , Numerical Analysis |
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Call number: | SPRINGER-1999-9783034886758:ONLINE Show nearby items on shelf |
Title: | The Maz’ya Anniversary Collection Volume 1: On Maz’ya’s work in functional analysis, partial differential equations and applications |
Author(s): | |
Date: | 1999 |
Size: | 1 online resource (364 p.) |
Note: | 10.1007/978-3-0348-8675-8 |
Contents: | Vladimir Maz’ya: Friend and mathematician. Recollections -- On Maz’ya’s work in potential theory and the theory of function spaces -- 1. Introduction -- 2. Embeddings and isoperimetric inequalities -- 3. Regularity of solutions -- 4. |
Boundary regularity -- 5. Nonlinear potential theory -- Maz’ya’s works in the linear theory of water waves -- 1. Introduction -- 2. The unique solvability of the water wave problem -- 3. The Neumann-Kelvin problem -- 4. Asymptotic | |
expansions for transient water waves due to brief and high-frequency disturbances -- Maz’ya’s work on integral and pseudodifferential operators -- 1. Non-elliptic operators -- 2. Oblique derivative problem: breakthrough in the generic | |
case of degeneration -- 3. Estimates for differential operators in the half-space -- 4. The characteristic Cauchy problem for hyperbolic equations -- 5. New methods for solving ill-posed boundary value problems -- 6. Applications of | |
multiplier theory to integral operators -- 7. Integral equations of harmonic potential theory on general non-regular surfaces -- 8. Boundary integral equations on piecewise smooth surfaces -- Contributions of V. Maz’ya to the theory of | |
boundary value problems in nonsmooth domains -- 1. Maz’ya’s early work on boundary value problems in nonsmooth domains -- 2. General elliptic boundary value problems in domains with point singularities -- 3. Boundary value problems in | |
domains with edges -- 4. Spectral properties of operator pencils generated by elliptic boundary value problems in a cone -- 5. Applications to elastostatics and hydrodynamics -- 6. Singularities of solutions to nonlinear elliptic | |
equations at a cone vertex -- On some potential theoretic themes in function theory -- 1. Approximation theory -- 2. Uniqueness properties of analytic functions -- 3. The Cauchy problem for the Laplace equation -- Approximate | |
approximations and their applications -- 1. Introduction -- 2. Quasi-interpolation -- 3. Generating functions for quasi-interpolation of high order -- 4. Semi-analytic cubature formulas -- 5. Cubature of integral operators over bounded | |
domains -- 6. Approximate wavelets -- 7. Numerical algorithms based upon approximate approximations -- Maz’ya’s work on the biography of Hadamard -- Isoperimetric inequalities and capacities on Riemannian manifolds -- 1. Introduction | |
-- 2. Capacity of balls -- 3. Parabolicity of manifolds -- 4. Isoperimetric inequality and Sobolev inequality -- 5. Capacity and the principal frequency -- 6. Cheeger’s inequality -- 7. Eigenvalues of balls on spherically symmetric | |
manifolds -- 8. Heat kernel on spherically symmetric manifolds -- Multipliers of differentiable functions and their traces -- 1. Introduction -- 2. Description and properties of multipliers -- 3. Multipliers in the space of Bessel | |
potentials as traces of multipliers -- An asymptotic theory of nonlinear abstract higher order ordinary differential equations -- Sobolev spaces for domains with cusps -- 1. Introduction -- 2. Extension theorems -- 3. Embedding | |
theorems -- 4. Boundary values of Sobolev functions -- Extension theorems for Sobolev spaces -- 1. Introduction -- 2. Extensions with preservation of class -- 3. Estimates for the minimal norm of an extension operator -- 4. Extensions | |
with deterioration of class -- Contributions of V.G. Maz’ya to analysis of singularly perturbed boundary value problems -- 1. Introduction -- 2. Domain with a small hole -- 3. General asymptotic theory by Maz’ya, Nazarov and | |
Plamenevskii -- 4. Asymptotics of solutions of boundary integral equations under a small perturbation of a corner -- 5. Compound asymptotics for homogenization problems -- 6. Boundary value problems in 3D-1D multi-structures -- | |
Asymptotic analysis of a mixed boundary value problem in a singularly degenerating domain -- 1. Introduction -- 2. Formulation of the problem -- 3. The leading order approximation -- A history of the Cosserat spectrum -- 1. | |
Introduction -- 2. The first boundary value problem of elastostatics -- 3. The second and other boundary-value problems -- 4. Applications and other related results -- Boundary integral equations for plane domains with cusps -- 1. | |
Introduction -- 2. Integral equations in weighted Sobolev spaces -- On Maz’ya type inequalities for convolution operators -- 1. Introduction -- 2. One-dimensional polynomials -- 3. The functions ?x?2? in ? n -- Sharp constants and | |
maximum principles for elliptic and parabolic systems with continuous boundary data -- 1. The norm and the essential norm of the double layer elastic and hydrodynamic potentials in the space of continuous functions -- 2. Exact | |
constants in inequalities of maximum principle type for certain systems and equations of mathematical physics -- 3. Maximum modulus principle for elliptic systems -- 4. Maximum modulus principle for parabolic systems -- 5. Maximum norm | |
principle for parabolic systems -- Lp-contractivity of semigroups generated by parabolic matrix differential operators -- 1. Introduction -- 2. Preliminaries -- 3. Weakly coupled systems -- 4. Coupled systems -- Curriculum vitae of | |
Vladimir Maz’ya -- Publications of Vladimir Maz’ya | |
ISBN: | 9783034886758 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Operator Theory: Advances and Applications : 109 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1999-9781447103790:ONLINE Show nearby items on shelf |
Title: | Analytic Methods for Partial Differential Equations |
Author(s): |
Gwynne A Evans |
Date: | 1999 |
Size: | 1 online resource (316 p.) |
Note: | 10.1007/978-1-4471-0379-0 |
Contents: | 1. Mathematical Preliminaries -- 1.1 Introduction -- 1.2 Characteristics and Classification -- 1.3 Orthogonal Functions -- 1.4 Sturm-Liouville Boundary Value Problems -- 1.5 Legendre Polynomials -- 1.6 Bessel Functions -- 1.7 Results |
from Complex Analysis -- 1.8 Generalised Functions and the Delta Function -- 2. Separation of the Variables -- 2.1 Introduction -- 2.2 The Wave Equation -- 2.3 The Heat Equation -- 2.4 Laplace’s Equation -- 2.5 Homogeneous and | |
Non-homogeneous Boundary Conditions -- 2.6 Separation of variables in other coordinate systems -- 3. First-order Equations and Hyperbolic Second-order Equations -- 3.1 Introduction -- 3.2 First-order equations -- 3.3 Introduction to | |
d’Alembert’s Method -- 3.4 d’Alembert’s General Solution -- 3.5 Characteristics -- 3.6 Semi-infinite Strings -- 4. Integral Transforms -- 4.1 Introduction -- 4.2 Fourier Integrals -- 4.3 Application to the Heat Equation -- 4.4 Fourier | |
Sine and Cosine Transforms -- 4.5 General Fourier Transforms -- 4.6 Laplace transform -- 4.7 Inverting Laplace Transforms -- 4.8 Standard Transforms -- 4.9 Use of Laplace Transforms to Solve Partial Differential Equations -- 5. Green’s | |
Functions -- 5.1 Introduction -- 5.2 Green’s Functions for the Time-independent Wave Equation -- 5.3 Green’s Function Solution to the Three-dimensional Inhomogeneous Wave Equation -- 5.4 Green’s Function Solutions to the Inhomogeneous | |
Helmholtz and Schrödinger Equations: An Introduction to Scattering Theory -- 5.5 Green’s Function Solution to Maxwell’s Equations and Time-dependent Problems -- 5.6 Green’s Functions and Optics: Kirchhoff Diffraction Theory -- 5.7 | |
Approximation Methods and the Born Series -- 5.8 Green’s Function Solution to the Diffusion Equation -- 5.9 Green’s Function Solution to the Laplace and Poisson Equations -- 5.10 Discussion -- A. Solutions of Exercises | |
ISBN: | 9781447103790 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Numerical analysis , Mathematics , Analysis , Numerical Analysis |
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Call number: | SPRINGER-1998-9789401151696:ONLINE Show nearby items on shelf |
Title: | Barriers and Challenges in Computational Fluid Dynamics |
Author(s): | |
Date: | 1998 |
Size: | 1 online resource (395 p.) |
Note: | 10.1007/978-94-011-5169-6 |
Contents: | I: Accuracy -- Progress in Applied Numerical Analysis for Computational Fluid Dynamics -- Examples of Error Propagation from Discontinuities -- Accurate Finite Difference Algorithms -- Computational Considerations for the Simulation |
of Discontinuous Flows -- Space-Time Methods for Hyperbolic Conservation Laws -- II: Boundary Conditions and Stiffness Issues -- Anisotropic Mesh Adaptation: A Step Towards a Mesh-Independent and User-Independent CFD -- Artificial | |
Boundary Conditions for Infinite-Domain Problems -- Issues and Strategies for Hyperbolic Problems with Stiff Source Terms -- III: Discontinuities -- Numerical Methods for a One-Dimensional Interface Separating Compressible and | |
Incompressible Flows -- On Some Outstanding Issues in CFD (1996) -- Accurate and Robust Methods for Variable Density Incompressible Flows with Discontinuities -- A Variational Approach to Deriving Smeared-Interface Surface Tension | |
Models -- IV: Other Applications -- Compounded of Many Simples: Reflections on the Role of Model Problems in CFD -- A Unified CFD-Based Approach to a Variety of Problems in Computational Physics -- Second Order Godunov Schemes for 2D | |
and 3D MHD Equations and Divergence-Free Condition -- On Multidimensional Positively Conservative High-Resolution Schemes -- A New Scheme for the Solutions of Multidimensional MHD Equations -- V: Convergence -- Local Preconditioning: | |
Who Needs It? -- The Quest for Diagonalization of Differential Systems -- Multidimensional Upwinding: Unfolding the Mystery -- List of Attendees | |
ISBN: | 9789401151696 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | ICASE/LaRC Interdisciplinary Series in Science and Engineering: 6 |
Keywords: | Engineering , Partial differential equations , Computer mathematics , Algorithms , Mechanics , Applied mathematics , Engineering mathematics , Fluid mechanics , Engineering , Engineering Fluid Dynamics , Mechanics , Appl.Mathematics/Computational Methods of Engineering , Computational Mathematics and Numerical Analysis , Partial Differential Equations , Algorithms |
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Call number: | SPRINGER-1998-9783540498049:ONLINE Show nearby items on shelf |
Title: | Advanced Numerical Approximation of Nonlinear Hyperbolic Equations Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23–28, 1997 |
Author(s): |
Bernardo Cockburn |
Date: | 1998 |
Size: | 1 online resource (454 p.) |
Note: | 10.1007/BFb0096351 |
Contents: | Approximate solutions of nonlinear conservation laws -- An introduction to the Discontinuous Galerkin method for convection-dominated problems -- Adaptive finite element methods for conservation laws -- Essentially non-oscillatory and |
weighted essentially non-oscillatory schemes for hyperbolic conservation laws | |
ISBN: | 9783540498049 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1697 |
Keywords: | Mathematics , Partial differential equations , Numerical analysis , Thermodynamics , Computational intelligence , Mathematics , Partial Differential Equations , Numerical Analysis , Thermodynamics , Computational Intelligence |
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Call number: | SPRINGER-1997-9789401155748:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations through Examples and Exercises |
Author(s): |
Endre Pap |
Date: | 1997 |
Size: | 1 online resource (404 p.) |
Note: | 10.1007/978-94-011-5574-8 |
Contents: | 1 Introduction -- 1.1 Basic Notions -- 1.2 The Cauchy-Kowalevskaya Theorem -- 1.3 Equations of Mathematical Physics -- 2 First Order PDEs -- 2.1 Quasi-linear PDEs -- 2.2 Pfaff’s Equations -- 2.3 Nonlinear First Order PDEs -- 3 |
Classification of the Second Order PDEs -- 3.1 Two Independent Variables -- 3.2 n Independent Variables -- 3.3 Wave, Potential and Heat Equation -- 4 Hyperbolic Equations -- 4.1 Cauchy Problem for the One-dimensional Wave Equation -- | |
4.2 Cauchy Problem for the n-dimensional Wave Equation -- 4.3 The Fourier Method of Separation Variables -- 4.4 The Sturm—Liouville Problem -- 4.5 Miscellaneous Problems -- 4.6 The Vibrating String -- 5 Elliptic Equations -- 5.1 | |
Dirichlet Problem -- 5.2 The Maximum Principle -- 5.3 The Green Function -- 5.4 The Harmonic Functions -- 5.5 Gravitational Potential -- 6 Parabolic Equations -- 6.1 Cauchy Problem -- 6.2 Mixed Type Problem -- 6.3 Heat conduction -- 7 | |
Numerical Methods -- 7.0.1 Preliminaries -- 7.0.2 Examples and Exercises -- 8 Lebesgue’s Integral, Fourier Transform -- 8.1 Lebesgue’s Integral and the L2(Q) Space -- 8.2 Delta Nets -- 8.3 The Surface Integrals -- 8.4 The Fourier | |
Transform -- 9 Generalized Derivative and Sobolev Spaces -- 9.1 Generalized Derivative -- 9.2 Sobolev Spaces -- 10 Some Elements from Functional Analysis -- 10.1 Hilbert Space -- 10.2 The Fredholm Alternatives -- 10.3 Normed Vector | |
Spaces -- 11 Functional Analysis Methods in PDEs -- 11.1 Generalized Dirichlet Problem -- 11.2 The Generalized Mixed Problems -- 11.3 Numerical Solutions -- 11.4 Miscellaneous -- 12 Distributions in the theory of PDEs -- 12.1 Basic | |
Properties -- 12.2 Fundamental Solutions | |
ISBN: | 9789401155748 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series: 18 |
Keywords: | Mathematics , Functional analysis , Operator theory , Partial differential equations , Computer mathematics , Mathematical models , Mathematics , Partial Differential Equations , Functional Analysis , Operator Theory , Computational Mathematics and Numerical Analysis , Mathematical Modeling and Industrial Mathematics |
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Call number: | SPRINGER-1996-9783642783937:ONLINE Show nearby items on shelf |
Title: | Symmetries, Topology and Resonances in Hamiltonian Mechanics |
Author(s): |
Valerij V Kozlov |
Date: | 1996 |
Size: | 1 online resource (378 p.) |
Note: | 10.1007/978-3-642-78393-7 |
Contents: | I Hamiltonian Mechanics -- 1 The Hamilton Equations -- 2 Euler-Poincaré Equations on Lie Algebras -- 3 The Motion of a Rigid Body -- 4 Pendulum Oscillations -- 5 Some Problems of Celestial Mechanics -- 6 Systems of Interacting |
Particles -- 7 Non-holonomic Systems -- 8 Some Problems of Mathematical Physics -- 9 The Problem of Identification of Hamiltonian Systems -- II Integration of Hamiltonian Systems -- 1 Integrals. Classes of Integrals of Hamiltonian | |
Systems -- 2 Invariant Relations -- 3 Symmetry Groups -- 4 Complete Integrability -- 5 Examples of Completely Integrable Systems -- 6 Isomorphisms of Some Integrable Hamiltonian Systems -- 7 Separation of Variables -- 8 The Heisenberg | |
Representation -- 9 Algebraically Integrable Systems -- 10 Perturbation Theory -- 11 Normal Forms -- III Topological and Geometrical Obstructions to Complete Integrability -- 1 Topology of the Configuration Space of an Integrable | |
System -- 2 Proof of Nonintegrability Theorems -- 3 Geometrical Obstructions to Integrability -- 4 Systems with Gyroscopic Forces -- 5 Generic Integrals -- 6 Topological Obstructions to the Existence of Linear Integrals -- 7 Topology | |
of the Configuration Space of Reversible Systems with Nontrivial Symmetry Groups -- IV Nonintegrability of Hamiltonian Systems Close to Integrable Ones -- 1 The Poincaré Method -- 2 Applications of the Poincaré Method -- 3 Symmetry | |
Groups -- 4 Reversible Systems With a Torus as the Configuration Space -- 5 A Criterion for Integrability in the Case When the Potential is a Trigonometric Polynomial -- 6 Some Generalizations -- 7 Systems of Interacting Particles -- 8 | |
Birth of Isolated Periodic Solutions as an Obstacle to Integrability -- 9 Non-degenerate Invariant Tori -- 10 Birth of Hyperbolic Invariant Tori -- 11 Non-Autonomous Systems -- V Splitting of Asymptotic Surfaces -- 1 Asymptotic | |
Surfaces and Splitting Conditions -- 2 Theorems on Nonintegrability -- 3 Some Applications -- 4 Conditions for Nonintegrability of Kirchhoff’s Equations -- 5 Bifurcation of Separatrices -- 6 Splitting of Separatrices and Birth of | |
Isolated Periodic Solutions -- 7 Asymptotic Surfaces of Unstable Equilibria -- 8 Symbolic Dynamics -- VI Nonintegrability in the Vicinity of an Equilibrium Position -- 1 Siegel’s Method -- 2 Nonintegrability of Reversible Systems -- 3 | |
Nonintegrability of Systems Depending on Parameters -- 4 Symmetry Fields in the Vicinity of an Equilibrium Position -- VII Branching of Solutions and Nonexistence of Single-Valued Integrals -- 1 The Poincaré Small Parameter Method -- 2 | |
Branching of Solutions and Polynomial Integrals of Reversible Systems on a Torus -- 3 Integrals and Symmetry Groups of Quasi-Homogeneous Systems of Differential Equations -- 4 Kovalevskaya Numbers for Generalized Toda Lattices -- 5 | |
Monodromy Groups of Hamiltonian Systems with Single-Valued Integrals -- VIII Polynomial Integrals of Hamiltonian Systems -- 1 The Birkhoff Method -- 2 Influence of Gyroscopic Forces on the Existence of Polynomial Integrals -- 3 | |
Polynomial Integrals of Systems with One and a Half Degrees of Freedom -- 4 Polynomial Integrals of Hamiltonian Systems with Exponential Interaction -- 5 Perturbations of Hamiltonian Systems with Non-Compact Invariant Surfaces -- | |
References | |
ISBN: | 9783642783937 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics: 31 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Physics , Mathematics , Analysis , Mathematical Methods in Physics , Numerical and Computational Physics |
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Call number: | SPRINGER-1993-9781461227069:ONLINE Show nearby items on shelf |
Title: | Numerical Methods Based on Sinc and Analytic Functions |
Author(s): |
Frank Stenger |
Date: | 1993 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-1-4612-2706-9 |
Contents: | 1 Mathematical Preliminaries -- 1.1 Properties of Analytic Functions -- Problems for Section 1.1 -- 1.2 Hilbert Transforms -- Problems for Section 1.2 -- 1.3 Riemann—Hilbert Problems -- Problems for Section 1.3 -- 1.4 Fourier |
Transforms -- Problems for Section 1.4 -- 1.5 Laplace Transforms -- Problems for Section 1.5 -- 1.6 Fourier Series -- Problems for Section 1.6 -- 1.7 Transformations of Functions -- Problems for Section 1.7 -- 1.8 Spaces of Analytic | |
Functions -- Problems for Section 1.8 -- 1.9 The Paley—Wiener Theorem -- Problems for Section 1.9 -- 1.10 The Cardinal Function -- Problems for Section 1.10 -- Historical Remarks on Chapter 1 -- 2 Polynomial Approximation -- 2.1 | |
Chebyshev Polynomials -- Problems for Section 2.1 -- 2.2 Discrete Fourier Polynomials -- Problems for Section 2.2 -- 2.3 The Lagrange Polynomial -- Problems for Section 2.3 -- 2.4 Faber Polynomials -- Problems for Section 2.4 -- | |
Historical Remarks on Chapter 2 -- 3 Sinc Approximation in Strip -- 3.1 Sinc Approximation in Dd -- Problems for Section 3.1 -- 3.2 Sinc Quadrature on (??, ?) -- Problems for Section 3.2 -- 3.3 Discrete Fourier Transforms on (??,?) -- | |
Problems for Section 3.3 -- 3.4 Cauchy-Like Transforms on (??,?) -- Problems for Section 3.4 -- 3.5 Approximation of Derivatives in Dd -- Problems for Section 3.5 -- 3.6 The Indefinite Integral on (??, ?) -- Problems for Section 3.6 -- | |
Historical Remarks on Chapter 3 -- 4 Sinc Approximation on ? -- 4.1 Basic Definitions -- Problems for Section 4.1 -- 4.2 Interpolation and Quadrature on ? -- Problems for Section 4.2 -- 4.3 Hilbert and Related Transforms on ? -- | |
Problems for Section 4.3 -- 4.4 Approximation of Derivatives on ? -- Problems for Section 4.4 -- 4.5 Indefinite Integral Over ? -- Problems for Section 4.5 -- 4.6 Indefinite Convolution Over ? -- Problems for Section 4.6 -- Historical | |
Remarks on Chapter 4 -- 5 Sinc-Related Methods -- 5.1 Introduction -- 5.2 Variations of the Sinc Basis -- Problems for Section 5.2 -- 5.3 Elliptic Function Interpolants -- Problems for Section 5.3 -- 5.4 Inversion of the Laplace | |
Transform -- Problems for Section 5.4 -- 5.5 Sinc-Like Rational Approximation -- Problems for Section 5.5 -- 5.6 Rationals and Extrapolation -- Problems for Section 5.6 -- 5.7 Heaviside and Filter Rationals -- Problems for Section 5.7 | |
-- 5.8 Positive Base Approximation -- Problems for Section 5.8 -- Historical Remarks on Chapter 5 -- 6 Integral Equations -- 6.1 Introduction -- 6.2 Mathematical Preliminaries -- Problems for Section 6.2 -- 6.3 Reduction to Algebraic | |
Equations -- Problems for Section 6.3 -- 6.4 Volterra Integral Equations -- Problems for Section 6.4 -- 6.5 Potential Theory Problems -- Problems for Section 6.5 -- 6.6 Reduced Wave Equation on a Half-Space -- Problems for Section 6.6 | |
-- 6.7 Cauchy Singular Integral Equations -- Problems for Section 6.7 -- 6.8 Convolution-Type Equations -- Problems for Section 6.8 -- 6.9 The Laplace Transform and Its Inversion -- Problems for Section 6.9 -- Historical Remarks on | |
Chapter 6 -- 7 Differential Equations -- 7.1 ODE-IVP -- Problems for Section 7.1 -- 7.2 ODE-BVP -- Problems for Section 7.2 -- 7.3 Analytic Solutions of PDE -- Problems for Section 7.3 -- 7.4 Elliptic Problems -- Problems for Section | |
7.4 -- 7.5 Hyperbolic Problems -- Problems for Section 7.5 -- 7.6 Parabolic Problems -- Problems for Section 7.6 -- Historical Remarks on Chapter 7 -- References | |
ISBN: | 9781461227069 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Computational Mathematics: 20 |
Keywords: | Mathematics , Numerical analysis , Mathematics , Numerical Analysis |
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Call number: | SPRINGER-1992-9783034886253:ONLINE Show nearby items on shelf |
Title: | Optimization, Optimal Control and Partial Differential Equations First Franco-Romanian Conference, Iasi, September 7–11, 1992 |
Author(s): | |
Date: | 1992 |
Size: | 1 online resource (349 p.) |
Note: | 10.1007/978-3-0348-8625-3 |
Contents: | Variational methods in mechanics and physical models -- Fluid flows in dielectric porous media -- The impact of a jet with two fluids on a porous wall -- Critical point methods in nonlinear eigenvalue problems with discontinuities -- |
Maximum principles for elliptic systems -- Exponential dichotomy of evolution operators in Banach spaces -- Asymptotic properties of solutions to evolution equations -- On some nonlinear elastic waves biperiodical or almost periodical | |
in mechanics and extensions hyperbolic nonlinear partial differential equations -- The controllability of infinite dimensional and distributed parameter systems -- Singularities in boundary value problems and exact controllability of | |
hyperbolic systems -- Exact controllability of a shallow shell model -- Inverse problem: Identification of a melting front in the 2D case -- Micro-local approach to the control for the plates equation -- Bounded solutions for | |
controlled hyperbolic systems -- Controllability and turbulence -- The H? control problem -- The H? boundary control with state feedback the hyperbolic case -- Remarks on the theory of robust control -- The dynamic programming method | |
-- Optimality and characteristics of Hamilton-Jacobi-Bellman equations -- Verification theorems of dynamic programming type in optimal control -- Isaacs’ equations for value-functions of differential games -- Optimal control for robot | |
manipulators -- Control theory and environmental problems: Slow fast models for management of renewable ressources -- On the Riccati equations of stochastic control -- Optimal control of nonlinear partial differential equations -- A | |
boundary Pontryagin’s principle for the optimal control of state-constrained elliptic systems -- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems -- Optimal control for | |
elliptic equation and applications -- Inverse problems for variational inequalities -- The variation of the drag with respect to the domain in Navier-Stokes flow, -- Mathematical programming and nonsmooth optimization -- Scalar minimax | |
properties in vectorial optimization -- Least-norm regularization for weak two-level optimization problems -- Continuity of the value function with respect to the set of constraints -- On integral inequalities involving logconcave | |
functions -- Numerical solution of free boundary problems in solids mechanics -- Authors’ index | |
ISBN: | 9783034886253 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique : 107 |
Keywords: | Science , Science , Science, general |
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Call number: | SPRINGER-1990-9783540470496:ONLINE Show nearby items on shelf |
Title: | Problems Involving Change of Type Proceedings of a Conference Held at the University of Stuttgart, FRG, October 11–14,1988 |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (210 p.) |
Note: | 10.1007/3-540-52595-5 |
Contents: | Dynamics and minimizing sequences -- Discontinuous solutions of bounded variations to problems of the calculus of variations and of quasi linear hyperbolic differential equations. Integrals of Serrin and Weierstrass. -- Minimizing |
sequences for nonconvex functionals, phase transitions and singular perturbations -- Dynamics of cluster growth -- A geometric approach to the dynamics of u t = ?2 u ?? + f(u) for small ? -- On the isothermal motion of a phase | |
interface -- The relaxed invariance principle and weakly dissipative infinite dimensional dynamical systems -- Mathematical problems associated with the elasticity of liquids -- Analysis of spurt phenomena for a non-newtonian fluid -- | |
Boundary conditions for steady flows of viscoelastic fluids -- The use of vectorfield dynamics in formulating admissibility conditions for shocks in conservation laws that change type -- On the Cauchy problem for the Davey-Stewartson | |
system -- Inverse scattering and factorization theory -- Recent results on the Cauchy problem and initial traces for degenerate parabolic equations -- A nonlinear eigenvalue problem involving free boundaries -- Two nonlinear diffusion | |
equations with finite speed of propagation | |
ISBN: | 9783540470496 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 359 |
Keywords: | Physics , Acoustics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Acoustics |
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Call number: | SPRINGER-1990-9783540469186:ONLINE Show nearby items on shelf |
Title: | Twelfth International Conference on Numerical Methods in Fluid Dynamics Proceedings of the Conference Held at the University of Oxford, England on 9–13 July 1990 |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (562 p.) |
Note: | 10.1007/3-540-53619-1 |
Contents: | Turbulence modelling for the nineties: second moment closure ...... and beyond? -- Simulation of turbulent flows by numerical integration of Navier-Stokes equations -- The solution to the problem of vortex breakdown -- Computation |
techniques for the simulation of turbomachinery compressible flows -- Semi-Lagrangian integration schemes and their application to environmental flows -- Computer trends for CFD -- Computation of shock-shock interference around a | |
cylindrical leading edge at hypersonic speeds -- Chaotic flow over an airfoil -- Modelling shock/turbulent-boundary-layer interaction with a cell-vertex scheme and second-moment closure -- The nonlinear galerkin method for the two and | |
three dimensional Navier-Stokes equations -- On the large-eddy simulation of compressible isotropic turbulence -- A calculation of the compressible Navier-Stokes equations in generalized coordinates by the spectral method -- Numerical | |
methods for viscous incompressible flows -- Three-dimensional simulation of vortex breakdown -- Accurate finite-difference methods for solving Navier-Stokes problems using Green's identities -- Influence of longitudinal vortices on the | |
structure of the three dimensional wake of a partially enclosed body -- The ISNaS compressible Navier-Stokes solver First results for single airfoils -- Leading edge effects on boundary layer receptivity -- The viscous-inviscid | |
coupling via a self-adaptive domain decomposition technique -- Efficient computation of wing body flows -- Staggered and non-staggered finite-volume methods for nonsteady viscous flows: A comparative study -- Direct numerical modelling | |
of turbulence: Coherent structures and transition to chaos -- Conforming Chebyshev spectral collocation methods for the solution of the incompressible Navier-Stokes equations in complex geometries -- Direct simulation of transition and | |
turbulent boundary layer -- Numerical simulation of transition to turbulence using higher order method of lines -- A new fully-coupled method for the solution of Navier-Stokes equations -- A multigrid scheme with semicoarsening for | |
accurate computations of viscous flows -- Numerical simulation of spatially-evolving instability in three-dimensional plane channel flow -- Secondary instability and transition in compressible boundary layers -- Three-dimensional | |
internal wave breaking at a critical level -- Numerical simulation of transitional bluff-body near-wake shear flows -- On the stability of the infinite swept attachment line boundary layer -- Large eddy simulation of turbulent flow in | |
a duct of square cross section -- Direct numerical simulation of turbulent flow in an open channel -- Direct numerical simulation of a complicated transition-breakdown of a circular pipe flow through axisymmetric sudden expansions -- | |
Numerical simulation of unsteady incompressible viscous flows by improved GSMAC-FEM -- Investigation of 2-D and 3-D instability of the driven cavity flow -- Numerical simulation of three-dimensional unsteady incompressible viscous flow | |
for separated configurations -- Flow over arbitrary axisymmetric multi-body configurations, using direct Navier-Stokes simulations -- Construction high order monotonous difference schemes on nonregular gride -- High-order time | |
integration scheme and preconditioned residual method for solution of incompressible flow in complex geometries by the pseudospectral element method -- Turbulent flow calculations using unstructured and adaptive meshes -- Parallel | |
preconditioned iterative methods for the compressible Navier-Stokes equations -- A multidimensional cell-centered upwind algorithm based on a diagonalization of the Euler equations -- Cell vertex multigrid methods for the compressible | |
Navier-Stokes equations -- A numerical study of third-order nonoscillatory schemes for the Euler equations -- A high-order compact numerical algorithm for supersonic flows -- A study of spurious asymptotic numerical solutions of | |
nonlinear differential equations by the nonlinear dynamics approach -- Simulation of unsteady flows -- Recent progress in multidimensional upwinding -- Nonlinear Galerkin method with finite element approximation -- Three-dimensional | |
highly accurate MmB schemes for viscous, compressible flow problems -- A comparison of the effects of grid distortion on finite-volume methods for solving the edler equations -- Vorticity errors in multidimensional Lagrangian codes -- | |
Three dimensional large eddy simulations with realistic boundary conditions performed on a connection machine -- A 3D Navier-Stokes solver on distributed memory multiprocessor -- Parallel extrapolation methods for computational fluid | |
dynamics -- Variable coefficient implicit residual smoothing -- Reactive-flow computations on a connection machine -- Navier-Stokes solvers using lower-upper symmetric Gauss-Seidel algorithm -- An extension of essentially | |
non-oscillatory shock-capturing schemes to multi-dimensional systems of conservation laws -- On a modified ENO scheme and its application to conservation laws with stiff source terms -- Convenient entropy-satisfying T.V.D. schemes with | |
applications -- Second order defect-correction multigrid formulation of the polynomial flux-difference splitting method for steady Euler equations -- Projection shock capturing algorithms -- Multigrid technique applied to the Euler | |
equations on a multi block mesh -- Treatment of inert and reactive flows by A T.V.D. formulation in 2D space in unstructured geometry -- Unstructured upwind approach for complex flow computations -- Generalized finite volume (GFV) | |
schemes on unstructured meshes: Cell averages, point values, and finite elements -- Generalized finite volume (GFV) schemes on unstructured meshes: Cell averages, point values, and finite elements -- Solution of steady-state | |
conservation laws by l 1 Minimization -- Flux balance splitting — A new approach for a cell vertex upwind scheme -- Multidimensional upwind schemes using fluctuation splitting and different wave models for the Euler equations -- | |
Interactions of a viscous fluid with an elastic solid: Eigenmode analysis -- Parallel solution procedures for transonic flow computations -- Compressibility scaling method for multidimensional arbitrary Mach number Navier-Stokes | |
calculations of reactive flows -- Simple, efficient parallel computing with asynchronous implicit CFD algorithms on multiple grid domain decompositions -- Validation of an upwind Euler solver -- Finite element analysis of airfoil | |
immersed in a sinusoidal gust -- Flame capturing -- Numerical resolution of the burgers equation using the wavelet transform -- Application of boundary element method to a shallow water mode -- Stabilization of the Navier-Stokes | |
solutions via control techniques -- Approximation of the Stokes problem with a coupled spectral and finite element method -- Streamwise upwind algorithm development for the Navier-Stokes equations -- A domain of dependence upwind | |
scheme for the edler equations -- Numerical approximation by Godunov-type schemes of shocks and other waves -- A multiblock multigrid three-dimensional Euler equation solver -- ENO schemes for viscous high speed flows -- Design of | |
airfoils in transonic flows -- Split coefficient matrix (scm) method with floating shock fitting for transonic airfoils -- Supersonic viscous flow calculations for axisymmetric configurations -- Visualization method for computational | |
fluid dynamics with emphasis on the comparison with experiments -- Navier-Stokes calculations of hypersonic flow configurations with large separation by an implicit non-centered method -- An upwind formulation for the numerical | |
prediction of non-equilibrium hypersonic flows -- Navier-Stokes results for the hypersonic blunt body problem with equilibrium air properties and with shock fitting -- A polynomial flux vector splitting applied to viscous hypersonic | |
flow computation -- Simulations of inviscid equilibrium and nonequilibrium hypersonic flows -- Numerical solutions of the Boltzmann equation for hypersonic flows -- A high resolution cell vertex TVD scheme for the solution of the two | |
and three dimensional Euler equations -- Computation of hypersonic flows around blunt bodies and wings -- Hypersonic flows about waveriders with sharp leading edges -- Upwind relaxation method for hypersonic flow simulation -- PNS | |
solution using sparse Quasi-Newton method for fast convergence -- Numerical simulation of non-equilibrium hypersonic flow using the second-order boundary layer equations -- Chemical equilibrium and non-equilibrium inviscid flow | |
computations using a centered scheme -- Numerical simulations of separated flows around bluff bodies and wings by a discrete vortex method combined with panel method -- Numerical studies of transverse curvature effects on compressible | |
flow stability -- Conservative schemes for supersonic flows with internal shocks -- The flow computation of a liquid rocket engine combustor of complex geometry -- Computation of the transition to turbulence and flame propagation in a | |
piston engine -- Coupled Navier-Stokes Maxwell solutions for microwave propulsion -- Comparison of several numerical methods for computation of transonic flows through a 2D cascade -- Numerical simulation of unsteady turbulent flow | |
through transonic and supersonic cascades -- A comparative study of the low Mach number and Navier-Stokes equations with time-dependent chemical reactions -- An accurate and fast 3-D Euler-solver for turbomachinery flow calculation -- | |
Computation of the flow in elliptical ducts -- A fully implicit method for solving the 3-dimensional Quasi-Equilibrium equations on the sphere -- The existence aspects of Dupuit and Boussinesq filtration models using finite element | |
method -- An accurate hyperbolic system for approximately hydrostatic and incompressible oceanographic flows -- Vortex simulation of particulate plume dispersal and settling -- A 3D numerical diagnostic simulation for the general | |
circulation in the | |
ISBN: | 9783540469186 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 371 |
Keywords: | Physics , Earth sciences , Numerical analysis , Fluids , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Fluid- and Aerodynamics , Numerical Analysis , Earth Sciences, general |
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Call number: | SPRINGER-1990-9781461390497:ONLINE Show nearby items on shelf |
Title: | Nonlinear Evolution Equations That Change Type |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (284 p.) |
Note: | 10.1007/978-1-4613-9049-7 |
Contents: | Multiple viscous profile Riemann solutions in mixed elliptic-hyperbolic models for flow in porous media -- On the loss of regularity of shearing flows of viscoelastic fluids -- Composite type, change of type, and degeneracy in first |
order systems with applications to viscoelastic flows -- Numerical simulation of inertial viscoelastic flow with change of type -- Some qualitative properties of 2 × 2 systems of conservation laws of mixed type -- On the strict | |
hyperbolicity of the Buckley-Leverett equations for three-phase flow -- Admissibility criteria and admissible weak solutions of Riemann problems for conservation laws of mixed type: a summary -- Shocks near the sonic line: a comparison | |
between steady and unsteady models for change of type -- A strictly hyperbolic system of conservation laws admitting singular shocks -- An existence and uniqueness result for two nonstrictly hyperbolic systems -- Overcompressive shock | |
waves -- Quadratic dynamical systems describing shear flow of non-Newtonian fluids -- Dynamic phase transitions: a connection matrix approach -- A well-posed boundary value problem for supercritical flow of viscoelastic fluids of | |
Maxwell type -- Loss of hyperbolicity in yield vertex plasticity models under nonproportional loading -- Undercompressive shocks in systems of conservation laws -- Measure valued solutions to a backward-forward heat equation: a | |
conference report -- One-dimensional thermomechanical phase transitions with non-convex potentials of Ginzburg-Landau type -- Admissibility of solutions to the Riemann problem for systems of mixed type-transonic small disturbance | |
theory- | |
ISBN: | 9781461390497 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | The IMA Volumes in Mathematics and Its Applications: 27 |
Keywords: | Mathematics , Partial differential equations , Physics , Mathematics , Partial Differential Equations , Physics, general |
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Call number: | SPRINGER-1990-9781461234685:ONLINE Show nearby items on shelf |
Title: | Lectures on Numerical Mathematics |
Author(s): |
Heinz Rutishauser |
Date: | 1990 |
Size: | 1 online resource (546 p.) |
Note: | 10.1007/978-1-4612-3468-5 |
Contents: | 1. An Outline of the Problems -- § 1.1. Reliability of programs -- § 1.2. The evolution of a program -- § 1.3. Difficulties -- Notes to Chapter 1 -- 2. Linear Equations and Inequalities -- § 2.1. The classical algorithm of Gauss -- § |
2.2. The triangular decomposition -- § 2.3. Iterative refinement -- § 2.4. Pivoting strategies -- § 2.5. Questions of programming -- § 2.6. The exchange algorithm -- § 2.7. Questions of programming -- § 2.8. Linear inequalities | |
(optimization) -- Notes to Chapter 2 -- 3. Systems of Equations With Positive Definite Symmetric Coefficient Matrix -- § 3.1. Positive definite matrices -- § 3.2. Criteria for positive definiteness -- § 3.3. The Cholesky decomposition | |
-- § 3.4. Programming the Cholesky decomposition -- § 3.5. Solution of a linear system -- § 3.6. Influence of rounding errors -- § 3.7. Linear systems of equations as a minimum problem -- Notes to Chapter 3 -- 4. Nonlinear Equations -- | |
§ 4.1. The basic idea of linearization -- § 4.2. Newton’s method -- § 4.3. The regula falsi -- § 4.4. Algebraic equations -- § 4.5. Root squaring (Dandelin-Graeffe) -- § 4.6. Application of Newton’s method to algebraic equations -- | |
Notes to Chapter 4 -- 5. Least Squares Problems -- § 5.1. Nonlinear least squares problems -- § 5.2. Linear least squares problems and their classical solution -- § 5.3. Unconstrained least squares approximation through | |
orthogonalization -- § 5.4. Computational implementation of the orthogonalization -- § 5.5. Constrained least squares approximation through orthogonalization -- Notes to Chapter 5 -- 6. Interpolation -- § 6.1. The interpolation | |
polynomial -- § 6.2. The barycentric formula -- § 6.3. Divided differences -- § 6.4. Newton’s interpolation formula -- § 6.5. Specialization to equidistant xi -- § 6.6. The problematic nature of Newton interpolation -- § 6.7. Hermite | |
interpolation -- § 6.8. Spline interpolation -- § 6.9. Smoothing -- § 6.10.Approximate quadrature -- Notes to Chapter 6 -- 7. Approximation -- § 7.1. Critique of polynomial representation -- § 7.2. Definition and basic properties of | |
Chebyshev polynomials -- § 7.3. Expansion in T-polynomials -- § 7.4. Numerical computation of the T-coefficients -- § 7.5. The use of T-expansions -- § 7.6. Best approximation in the sense of Chebyshev (T-approximation) -- § 7.7. The | |
Remez algorithm -- Notes to Chapter 7 -- 8. Initial Value Problems for Ordinary Differential Equations -- §8.1. Statement of the problem -- § 8.2. The method of Euler -- § 8.3. The order of a method -- § 8.4. Methods of Runge-Kutta | |
type -- § 8.5. Error considerations for the Runge-Kutta method when applied to linear systems of differential equations -- § 8.6. The trapezoidal rule -- § 8.7. General difference formulae -- § 8.8. The stability problem -- § 8.9. | |
Special cases -- Notes to Chapter 8 -- 9. Boundary Value Problems For Ordinary Differential Equations -- § 9.1. The shooting method -- § 9.2. Linear boundary value problems -- § 9.3. The Floquet solutions of a periodic differential | |
equation -- § 9.4. Treatment of boundary value problems with difference methods -- § 9.5. The energy method for discretizing continuous problems -- Notes to Chapter 9 -- 10. Elliptic Partial Differential Equations, Relaxation Methods | |
-- §10.1. Discretization of the Dirichlet problem -- §10.2. The operator principle -- §10.3. The general principle of relaxation -- §10.4. The method of Gauss-Seidel, overtaxation -- §10.5. The method of conjugate gradients -- §10.6. | |
Application to a more complicated problem -- §10.7. Remarks on norms and the condition of a matrix -- Notes to Chapter 10 -- 11. Parabolic and Hyperbolic Partial Differential Equations -- §11.1. One-dimensional heat conduction problems | |
-- §11.2. Stability of the numerical solution -- §11.3. The one-dimensional wave equation -- §11.4. Remarks on two-dimensional heat conduction problems -- Notes to Chapter 11 -- 12. The Eigenvalue Problem For Symmetric Matrices -- | |
§12.1. Introduction -- §12.2. Extremal properties of eigenvalues -- §12.3. The classical Jacobi method -- §12.4. Programming considerations -- §12.5. The cyclic Jacobi method -- §12.6. The LR transformation -- §12.7. The LR | |
transformation with shifts -- §12.8. The Householder transformation -- §12.9. Determination of the eigenvalues of a tridiagonal matrix -- Notes to Chapter 12 -- 13. The Eigenvalue Problem For Arbitrary Matrices -- §13.1. Susceptibility | |
to errors -- §13.2. Simple vector iteration -- Notes to Chapter 13 -- Appendix. An Axiomatic Theory of Numerical Computation with an Application to the Quotient-Difference Algorithm -- Editor’s Foreword -- Al. Introduction -- §A1.1. | |
The eigenvalues of a qd-row -- §A1.2. The progressive form of the qd-algorithm -- §A1.3. The generating function of a qd-row -- §A1.4. Positive qd-rows -- §A1.5. Speed of convergence of the qd-algorithm -- §A1.6. The qd-algorithm with | |
shifts -- §A1.7. Deflation after the determination of an eigenvaluec -- A2. Choice of Shifts -- §A2.1. Effect of the shift v on Z’ -- §A2.2. Seropositive qd-rows -- § A2.4. A formal algorithm for the determination of eigenvalues -- A3. | |
Finite Arithmetic -- §A3.1. The basic sets -- §A3.2. Properties of the arithmetic -- §A3.3. Monotonicity of the arithmetic -- §A3.4. Precision of the arithmetic -- §A3.5. Underflow and overflow control -- A4. Influence of Rounding | |
Errors -- §A4.1. Persistent properties of the qd-algorithm -- §A4.2. Coincidence -- §A4.3. The differential form of the progressive qd-algorithm -- §A4.4. The influence of rounding errors on convergence -- A5. Stationary Form of the | |
qd-Algorithm -- §A5.1. Development of the algorithm -- §A5.2. The differential form of the stationary qd-algorithm -- §A5.3. Properties of the stationary qd-algorithm -- §A5.4. Safe qd-steps -- Bibliography to the Appendix -- Author | |
Index | |
ISBN: | 9781461234685 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Computer mathematics , Numerical analysis , Mathematics , Numerical Analysis , Computational Mathematics and Numerical Analysis |
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Call number: | SPRINGER-1989-9789400922433:ONLINE Show nearby items on shelf |
Title: | Random Processes for Classical Equations of Mathematical Physics |
Author(s): |
S. M Ermakov |
Date: | 1989 |
Size: | 1 online resource (282 p.) |
Note: | 10.1007/978-94-009-2243-3 |
Contents: | 1. Markov Processes and Integral Equations -- 1.1. Breaking-off Markov chains and linear integral equations -- 1.2. Markov processes with continuous time and linear evolutionary equations -- 1.3. Convergent Markov chains and some |
boundary values problems -- 1.4. Markov chains and nonlinear integral equations -- 2. First Boundary Value Problem for the Equation of the Elliptic Type -- 2.1. Statement of the problem and notation -- 2.2. Green formula and the mean | |
value theorem -- 2.3. Construction of a random process and an algorithm for the solution of the problem -- 2.4. Methods for simulation of a Markov chain -- 2.5. Estimation of the variance of a random variable ??? -- 3. Equations with | |
Polynomial Nonlinearity -- 3.1. Preliminary examples and notation -- 3.2. Representation of solutions of integral equations with polynomial nonlinearity -- 3.3. Definition of probability measures and the simplest estimators -- 3.4. | |
Probabilistic solution of nonlinear equations on measures -- 4. Probabilistic Solution of Some Kinetic Equations -- 4.1. Deterministic motion of particles -- 4.2. Computational aspects of the simulation of a collision process -- 4.3. | |
Random trajectories of particles. The construction of the basic process -- 4.4. Collision processes -- 4.5. Auxiliary results -- 4.6. Lemmas on certain integral equations -- 4.7. Uniqueness of the solution of the (X, T?, H) equation -- | |
4.8. Probabilistic solution of the interior boundary value problem for the regularized Boltzmann equation -- 4.9. Estimation of the computational labour requirements -- 5. Various Boundary Value Problems Related to the Laplace Operator | |
-- 5.1. Parabolic means and a solution of the mixed problem for the heat equation -- 5.2. Exterior Dirichlet problem for the Laplace equation -- 5.3. Solution of the Neumann problem -- 5.4. Branching random walks on spheres and the | |
Dirichlet problem for the equation ?u = u2 -- 5.5. Special method for the solution of the Dirichlet problem for the Helmholtz equation -- 5.6. Probabilistic solution of the wave equation in the case of an infinitely differentiable | |
solution -- 5.7. Another approach to the solution of hyperbolic equations -- 5.8. Probabilistic representation of the solution of boundary value problems for an inhomogeneous telegraph equation -- 5.9. Cauchy problem for the | |
Schrödinger equation -- 6. Generalized Principal Value Integrals and Related Random Processes -- 6.1. Random processes related to linear equations -- 6.2. Nonlinear equations -- 6.3. On the representation of a solution of nonlinear | |
equations as a generalized principal value integral -- 6.4. Principal part of the operator and the Monte Carlo method -- 7. Interacting Diffusion Processes and Nonlinear Parabolic Equations -- 7.1. Propagation of chaos and the law of | |
large numbers -- 7.2. Interacting Markov processes and nonlinear equations. Heuristic considerations -- 7.3. Weakly interacting diffusions -- 7.4. Moderately interacting diffusions -- 7.5. On one method of numerical solution of systems | |
of stochastic differential equations -- Bibliographical Notes -- References -- Additional References | |
ISBN: | 9789400922433 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and its Applications (Soviet Series): 34 |
Keywords: | Mathematics , Numerical analysis , Mathematical physics , Physics , Mathematics , Mathematical Physics , Numeric Computing , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1988-9783540460343:ONLINE Show nearby items on shelf |
Title: | Vortex Methods Proceedings of the U.C.L.A. Workshop held in Los Angeles, May 20–22, 1987 |
Author(s): | |
Date: | 1988 |
Size: | 1 online resource (148 p.) |
Note: | 10.1007/BFb0089765 |
Contents: | Long time existence and singularity formation for vortex sheets -- Computation of vortex sheet roll-up -- Vortex ring interaction by the vortex method -- Vortex stretching and the small-scale structure of turbulence -- Instability, |
vortex shedding, and numerical convergence -- On the validity of vortex methods for non smooth flows -- Computation of oscillatory solutions to hyperbolic differential equations using particle methods -- On measuring the accuracy of | |
the vortex method: Using a random method to model stable and untable flow -- Very large vortex calculations in two dimensions -- The rapid evaluation of potential fields in three dimensions | |
ISBN: | 9783540460343 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1360 |
Keywords: | Mathematics , Numerical analysis , Mathematics , Numerical Analysis |
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Call number: | SPRINGER-1987-9783642864582:ONLINE Show nearby items on shelf |
Title: | Dynamics of Infinite Dimensional Systems |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (514 p.) |
Note: | 10.1007/978-3-642-86458-2 |
Contents: | Semilinear Parabolic Systems Under Nonlinear Boundary Conditions -- The Shadowing Lemma for Elliptic PDE -- Coagulation-Fragmentation Dynamics -- Functional Differential Equations and Jensen’s Inequality -- Method of Upper and Lower |
Solutions for Nonlinear Integral Equations and an Application to an Infectious Disease Model -- Competition of Azimuthal Modes and Quasi-Periodic Flows in the Couette-Taylor Problem -- On Bifurcation for Variational Problems -- | |
Nilpotent Normal Form in Dimension 4 -- Perturbed Dual Semigroups and Delay Equations -- On Operators Which Leave Invariant a Half-Space -- Global Hopf Bifurcation in Reaction Diffusion Systems with Symmetry -- Longtime Behavior for a | |
Class of Abstract Integrodifferential Equations -- Describing the Flow on the Attractor of One Dimensional Reaction Diffusion Equations by Systems of ODE -- Asymptotic Behavior of Gradient Dissipative Systems -- Generic Properties of | |
Equilibrium Solutions by Perturbation of the Boundary -- Complex Analytical Methods in RFDE Theory -- Qualitative Behavior of the Solutions of Periodic First Order Scalar Differential Equations with Strictly Convex Coercive | |
Nonlinearity -- The Spectrum of Invariant Sets for Dissipative Semiflows -- Approximate Solutions to Conservation Laws via Convective Parabolic Equations: Analytical and Numerical Results -- Conley’s Connection Matrix -- Existence and | |
Non-Existence of Finite-Dimensional Globally Attracting Invariant Manifolds in Semilinear Damped Wave Equations -- SL E P Method to the Stability of Singularly Perturbed Solutions with Multiple Internal Transition Layers in | |
Reaction-Diffusion Systems -- Iterated Nonlinear Maps and Hilbert’s Projective Metric: A Summary -- Jacobi Matrices and Transversality -- Examples of Attractors in Scalar Reaction-Diffusion Equations -- Gauge Theory of Backlund | |
Transformations, I -- Recent Developments in the Theory of Nonlinear Scalar First and Second Order Partial Differential Equations -- Hopf Bifurcation for an Infinite Delay Functional Equation -- A Numerical Analysis of the Structure of | |
Periodic Orbits in Autonomous Functional Differential Equations -- Oscillations and Asymptotic Behaviour for two Semilinear Hyperbolic Systems -- An Application of the Conley Index to Combustion -- Path Continuation — A Sensitivity | |
Analysis Approach -- Confinor and Anti-confinor in Constrained “Lorenz” System -- Invariant Manifolds in Infinite Dimensions -- Linearizing Completely Integrable Systems on Complex Algebraic Tori -- On Some Dynamical Aspects of | |
Parabolic Equations with Variable Domain -- Bifurcation from Homoclinic to Periodic Solutions by an Inclination Lemma with Pointwise Estimate -- Approximate Methods for Set Valued Differential Equations with Delays -- Bounds for the | |
Chaotic Behavior of Newton’s Method -- List of Participants | |
ISBN: | 9783642864582 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series F: Computer and Systems Sciences : 37 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Numerical analysis , Complexity, Computational , Mathematics , Numerical Analysis , Analysis , Complexity |
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Call number: | SPRINGER-1987-9783642615986:ONLINE Show nearby items on shelf |
Title: | Analysis and Thermomechanics A Collection of Papers Dedicated to W. Noll on His Sixtieth Birthday |
Author(s): |
Bernard D Coleman |
Date: | 1987 |
Size: | 1 online resource (542 p.) |
Note: | 10.1007/978-3-642-61598-6 |
Contents: | On the Failure of the Maximum Principle in Coupled Thermoelasticity -- Decay Estimates for a Class of Second-Order Quasilinear Equations in Three Dimensions -- Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids -- |
Basic Theory of Small-Amplitude Waves in a Constrained Elastic Body -- A Corpuscular Approach to Continuum Mechanics: Basic Considerations -- Hydrodynamic Flow with Steady and Preserved Vorticity -- Some Surface Defects in Unstressed | |
Thermoelastic Solids -- Principal Waves in Orthotropic Elastic Membranes -- Continua with Latent Microstructure -- A Skin Effect Approximation for Eddy Current Problems -- Algebraic Theories for Continuous Semilattices -- The Existence | |
of the Flux Vector and the Divergence Theorem for General Cauchy Fluxes -- Isochoric Circulation-Preserving Motions with Stream-Lines of a Potential Motion -- On Shear Bands in Ductile Materials -- Dynamic Admissible States, Negative | |
Absolute Temperature, and the Entropy Maximum Principle -- One-dimensional Variational Problems whose Minimizers do not Satisfy the Euler-Lagrange Equation -- On the Finite Element—Least Squares Approximation to Higher Order Elliptic | |
Systems -- Development of Singularities in the Motion of Materials with Fading Memory -- Geometric Measure Theory and the Axioms of Continuum Thermodynamics -- Cavitation and Phase Transition of Hyperelastic Fluids -- The Main Elastic | |
Capacities of a Spheroid -- On the Gibbsian Thermostatics of Mixtures -- Stability of Equilibrium for a Nonlinear Hyperbolic System Describing Heat Propagation by Second Sound in Solids -- Steady-State Problems of Nonlinear | |
Electro-Magneto-Thermo-Elasticity -- Existence of Weak Solutions to Linear Indefinite Systems of Differential Equations -- Publications of Walter Noll -- Places of First Publication | |
ISBN: | 9783642615986 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mechanics , Fluids , Thermodynamics , Physics , Mechanics , Fluid- and Aerodynamics , Mathematical Methods in Physics , Numerical and Computational Physics , Thermodynamics |
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Call number: | SPRINGER-1987-9783540479833:ONLINE Show nearby items on shelf |
Title: | Differential Equations and Mathematical Physics Proceedings of an International Conference held in Birmingham, Alabama, USA March 3–8, 1986 |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (506 p.) |
Note: | 10.1007/BFb0080575 |
Contents: | Analytical solutions for ordinary and partial differential equations -- On the ratio of the first two eigenvalues of Schrödinger operators with positive potentials -- Inverse scattering for self-adjoint nth order differential |
operators on the line -- On the dirichlet index conjecture -- Three-dimensional inverse scattering -- Spectral properties of Schrodinger operators with trapping potentials in the semi-classical limit -- Discrete sets of coherent states | |
and their use in signal analysis -- Information, uncertainty and the singular value decomposition of the filtered fourier transformation -- On Schrödinger operators with von Neumann-Wigner type potentials -- Nonlinear conservative | |
systems -- The initial value problem for the nonlinear equations for zero Mach number combustion -- Longtime solutions for a class of convection diffusion systems -- A closed form for the symbol of the resolvent parametrix of an | |
elliptic operator -- Existence and finite-dimensionality of attractors for the Landau-Lifschitz equations -- The coulomb potential in higher dimensions -- A regularity theorem for differential equations of constant strength -- | |
Intermittent bifurcation of vortex flows -- Remarks on the Scattering problem for nonlinear Schrödinger equations -- Asymptotics of solutions and spectra of perturbed periodic Hamiltonian systems -- Behavior of eigenfunctions and the | |
spectrum of Schrödinger operators -- Shape resonances in quantum mechanics -- Random perturbation theory and quantum chaos -- Path integral for a Weyl quantized relativistic Hamiltonian and the nonrelativistic limit problem -- | |
Scattering with penetrable wall potentials -- Commutator methods and asymptotic completeness for a new class of stark effect Hamiltonians -- Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials, II -- On the | |
difference between eigenvalues of Sturm-Liouville operators and the semi-classical limit -- Finite element approximation to singular minimizers, and applications to cavitation in non-linear elasticity -- On relating generalized | |
expansions to fourier integrals -- Link between periodic pctentials and random potentials in one-dimensional Schrödinger operators -- Undressing of odd pseudodifferential operators -- Some mathematical aspects of the wavemaker theory | |
-- Integro-differential equations associated with piecewise deterministic processes -- Ambrosetti-Prodi type results in nonlinear boundary value problems -- Transmutation of analytic and harmonic functions -- Some solved and unsolved | |
canonical problems of diffraction theory -- Runge-Kutta schemes and numerical instabilities: The logistic equation -- Structure of positive solutions to (??+V) u=0 in Rn -- An extension of Lavine's formula for time-delay -- Some open | |
questions in multi-dimensional inverse problems -- Radially symmetric solutions of a Monge-Ampère equation arising in a reflector mapping problem -- Scattering theory for the wave equation on a hyperbolic manifold -- On unsteady flow | |
in a two-dimensional cascade with in-passage shocks -- On the absorption of singularities in dissipative nonlinear equations -- Feedback control for an abstract parabolic equation -- Approximate solution of random differential equation | |
-- Geometric properties and bounds for positive solutions of semilinear elliptic equations -- Asymptotic completeness of multiparticle scattering -- On a multi-dimensional inverse problem related to the Gel'fand-Levitan theory -- | |
Fundamental solution of the Poisson-Boltzmann equation -- Examples of exponential decay of eigenfunctions of mangetic Schrödinger operators -- Spatially localized free vibrations of certain semilinear wave equations on ?2: Recent | |
results and open problems | |
ISBN: | 9783540479833 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1285 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1987-9783540478058:ONLINE Show nearby items on shelf |
Title: | Nonlinear Hyperbolic Problems Proceedings of an Advanced Research Workshop held in St. Etienne, France January 13–17, 1986 |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (342 p.) |
Note: | 10.1007/BFb0078312 |
Contents: | Approximate solution of the generalized Riemann problem and applications -- Computation of oscillatory solutions to partial differential equations -- Preliminary results on the extension of eno schemes to two-dimensional problems -- |
Upwind differencing schemes for hyperbolic conservation laws with source terms -- The entropy dissipation by numerical viscosity in nonlinear conservative difference schemes -- 2-D and 3-D Euler computations with finite element methods | |
in aerodynamics -- A “box-scheme” for the euler equations -- Numerical techniques in elastoplasticity -- An implicit centered scheme which gives non-oscillatory steady shocks -- A computer-aided system for investigation and | |
construction of difference schemes of gas dynamics -- Lois de conservation et integrales d'energie des equations hyperboliques -- On symmetrizing hyperbolic differential equations -- A survey of nonstrictly hyperbolic conservation laws | |
-- Admissibility criteria for phase boundaries -- The transformation from Eulerian to Lagrangian coordinates for solutions with discontinuities -- Two existence theorems for systems of conservation laws with dissipation -- Global | |
solutions to some free boundary problems for quasilinear hyperbolic systems and applications -- Un theoreme d'existence globale en elasticite non lineaire mono-dimensionnelle -- A nonhomogeneous system of equations of nonisentropic gas | |
dynamics -- Far field boundary conditions for steady state solutions to hyperbolic systems -- Can hyperbolic systems of conservation laws be well-posed in BV(RRN)? -- Propagation des oscillations dans les systemes hyperboliques non | |
lineaires -- Stability and decay in systems of conservation laws -- Different approach for the relation between the kinetic and the macroscopic equations -- Integrable transport processes | |
ISBN: | 9783540478058 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1270 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1987-9781468467543:ONLINE Show nearby items on shelf |
Title: | Large Scale Scientific Computing |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (388 p.) |
Note: | 10.1007/978-1-4684-6754-3 |
Contents: | I: Initial Value Problems for Ode’s and Parabolic Pde’s -- 1. Algorithms for Semiconductor Device Simulation -- 2. Hierarchical Bases in the Numerical Solution of Parabolic Problems -- 3. Extrapolation Integrators for Quasilinear |
Implicit ODE’s -- 4. Numerical Problems Arising from the Simulation of Combustion Phenomena -- 5. Numerical Computation of Stiff Systems for Nonequilibrium -- 6. Finite Element Simulation of Saturated-Unsaturated Flow Through Porous | |
Media -- II: Boundary Value Problems for ODE’s and Elliptic PDE’s -- 7. Numerical Pathfollowing Beyond Critical Points in ODE Models -- 8. Computing Bifurcation Diagrams for Large Nonlinear Variational Problems -- 9. Extinction Limits | |
for Premixed Laminar Flames in a Stagnation Point Flow -- 10. A Numerical Method for Calculating Complete Theoretical Seismograms in Vertically Varying Media -- 11. On a New Boundary Element Spectral Method -- III: Hyperbolic PDE’s -- | |
12. A High Order Non-Oscillatory Shock Capturing Method -- 13. Vortex Dynamics Studied by Large-Scale Solutions to the Euler Equations -- IV: Inverse Problems -- 14. Numerical Backprojection in the Inverse 3D Radon Transform -- 15. A | |
Direct Algebraic Algorithm in Computerized Tomography -- 16. A Two-Grid Approach to Identification and Control Problems for Partial Differential Equations -- V: Optimization and Optimal Control Problems -- 17. Solving Large-Scale | |
Integer Optimization Problems -- 18. Numerical Treatment of State & Control Constraints in the Computation of Feedback Laws for Nonlinear Control Problems -- 19. Optimal Production Scheme for the Gosau Hydro Power Plant System -- VI: | |
Algorithm Adaptation on Supercomputers -- 20. The Use of Vector and Parallel Computers in the Solution of Large Sparse Linear Equations -- 21. Local Uniform Mesh Refinement on Vector and Parallel Processors -- 22. Using Supercomputer | |
to Model Heat Transfer in Biomedical Applications -- Speakers | |
ISBN: | 9781468467543 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Scientific Computing : 7 |
Keywords: | Mathematics , Computer mathematics , Numerical analysis , Mathematics , Computational Mathematics and Numerical Analysis , Computational Science and Engineering , Numerical Analysis |
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Call number: | SPRINGER-1986-9783642933189:ONLINE Show nearby items on shelf |
Title: | Nonlinear Oscillations in Biology and Chemistry Proceedings of a meeting held at the University of Utah, May 9–11, 1985 |
Author(s): | |
Date: | 1986 |
Size: | 1 online resource (294 p.) |
Note: | 10.1007/978-3-642-93318-9 |
Contents: | Biological Systems -- Oscillations and Chaos in the Pancreatic ?-Cell -- On Different Mechanisms for Membrane Potential Bursting -- A Mitotic Oscillator with a Strange Attractor and Distributions of Cell Cycle Times -- An Analysis of |
One- and Two-Dimensional Patterns in a Mechanical Model for Morphogenesis -- Chemical Systems -- Electrically Coupled Belousov-Zhabotinskii Oscillators: Experimental Observations of Chaos in a Chemical System and Identification of Its | |
Source in the Field-Noyes Equations -- Losing Amplitude and Saving Phase -- Spiral Waves in Excitable Media -- Neurophysiology -- Biomechanical and Neuromotor Factors in Mammalian Locomotor-Respiratory Coupling -- Analysis of a VCON | |
Neuromime -- Coupled Oscillators and Locomotion by Fish -- Experimental Studies of Chaotic Neural Behavior: Cellular Activity and Electroencephalographic Signals -- Mathematical Methods -- A Period-Doubling Bubble in the Dynamics of | |
Two Coupled Oscillators -- Bistable Behavior in Coupled Oscillators -- Continuation of Arnold Tongues in Mathematical Models of Periodically Forced Biological Oscillators -- Averaging and Synchronization of Weakly Coupled Systems -- | |
Variational Principles for Periodic Solutions of Autonomous Ordinary Differential Equations -- A Numerical Analysis of Wave Phenomena in a Reaction Diffusion Model -- On a Nonlinear Hyperbolic Equation Describing Transmission Lines, | |
Cell Movement, and Branching Random Walks | |
ISBN: | 9783642933189 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 66 |
Keywords: | Mathematics , Chemistry , Life sciences , Applied mathematics , Engineering mathematics , Biomathematics , Biophysics , Biological physics , Statistics , Mathematics , Applications of Mathematics , Life Sciences, general , Chemistry/Food Science, general , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Biophysics and Biological Physics |
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Call number: | SPRINGER-1986-9783540398073:ONLINE Show nearby items on shelf |
Title: | Equadiff 6 Proceedings of the International Conference on Differential Equations and their Applications held in Brno, Czechoslovakia, Aug. 26–30, 1985 |
Author(s): | |
Date: | 1986 |
Size: | 1 online resource (430 p.) |
Note: | 10.1007/BFb0076046 |
Contents: | Mathematical and numerical study of nonlinear problems in fluid mechanics -- Free boundary problems in fluid dynamics -- Method of rothe in evolution equations -- Boundary value problems in weighted spaces -- Critical point theory and |
nonlinear differential equations -- Ordinary linear differential equations — A survey of the global theory -- Numerical and theoretical treating of evolution problems by the method of discretization in time -- Algorithms for the | |
inclusion of solutions of ordinary initial value problems -- Recent developments in the theory of function spaces -- On properties of oscillatory solutions of non-linear differential equations of the n-th order -- Uniqueness without | |
continuous dependence -- Connections in scalar reaction diffusion equations with neumann boundary conditions -- On a certain boundary value problem of the third order -- On nonparasite solutions -- Uniform zeros for beaded strings -- | |
Perron intergaral, perron product integral and ordinary linear differential equations -- On the zeros of some special functions: Differential equations and nicholson-type formulas -- Surjectivity and boundary value problems -- Some | |
problems concerning the equivalences of two systems of differential equations -- Linear perturbations of general disconjugate equations -- On optimal control of systems with interface side conditions -- A description of blow-up for the | |
solid fuel ignition model -- Spectral analysis of non-self-adjoint elliptic operators -- On the Mountain Pass Lemma -- On uniqueness and stability of steady-state carrier distributions in semiconductors -- Partial regularity of | |
minimizers -- Periodic solutions of partial differential equations with hysteresis -- Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions -- Boundary integral equations of elasticity in domains | |
with piecewise smooth boundaries -- Higher regularity of weak solutions of strongly nonlinear elliptic equations -- Some regularity results for quasilinear parabolic systems -- Classical boundary value problems for Monge-Ampère type | |
equations -- Qualitative properties of the solutions to the navier-stokes equations for compressible fluids -- On Gel'fand's method of chasing for silving multipoint boundary value problems -- Stability and error estimates valid for | |
infinite time, for strongly monotone and infinitely stiff evolution equations -- Recent results in the approximation of free boundaries -- Finite element solution of a nonlinear diffusion problem with a moving boundary -- Analysis of | |
thacker's method for solving the linearized shallow water equations -- The convergence of a new method for calculating lower bounds to eigenvalues -- Bifurcation analysis of stimulated brillouin scattering -- Superconvergence results | |
for linear triangular elements -- Mixed finite element in 3D in H(div) and H(curl) -- Free boundary problems for stokes' flows and finite element methods -- Enclosing methods for perturbed boundary value problems in nonlinear | |
difference equations -- Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data -- Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment -- | |
Some new convergence results in finite element theories for elliptic problems -- Mathematical solution of direct and inverse problem for transonic cascade flows -- Einige Anwendungen der Mehrdimensionalen Approximationstheorie zur | |
Lösungseinschließung bei Randwertaufgaben -- A posteriori estimations of approximate solutions for some types of boundary value problems -- Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions -- The | |
rothe method for nonlinear hyperbolic problems -- Some solved and unsolved canonical problems of diffraction theory -- Entropy compactification of the transonic flow -- The global existence of weak solutions of the mollified system of | |
equations of motion of viscous compressible fluid -- Bifurcations near a double eigenvalue of the rectangular plate problem with a domain parameter -- Delay makes problems in population modelling | |
ISBN: | 9783540398073 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1192 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1986-9783540398035:ONLINE Show nearby items on shelf |
Title: | Trends in Applications of Pure Mathematics to Mechanics Proceedings of the Sixth Symposium on Trends in Applications of Pure Mathematics to Mechanics Held at the Physikzentrum of the German Physical Society Bad Honnef, October 21–25, 1985 |
Author(s): | |
Date: | 1986 |
Size: | 1 online resource (527 p.) |
Note: | 10.1007/BFb0016378 |
Contents: | Eigenmodes of classical fluids in thermal equilibrium -- Study of the inverse problem in random media using coherence theory -- Half-space problems in the kinetic theory of gases -- Virial coefficients from extended thermodynamics -- |
On the transient behaviour of structured solids -- On spectral analysis of non-selfadjoint operators in mechanics -- On the photoelastic effect in a hemitropic dissipative dielectric -- Space-time complexity in solid-state and | |
statistical physics models -- The topology of semidefects and solitons -- Solitons and statistical thermodynamics -- Transient motion of a solitary wave in elastic ferroelectrics -- Driven kinks in shape-memory alloys -- The long-time | |
behaviour for perturbed wave-equations and related problems -- Solitons and domain structure in elastic crystals with a microstructure -- Phase diagram of one-dimensional electron-phonon and relativistic field theory models: | |
Renormalization-group studies -- The crooked road to effective stress -- Gauge theories in mechanics -- On the role of noether's theorem in the gauge theory of crystal defects -- On gauge theory in defect mechanics -- Recent progresses | |
in the couette-taylor problem -- On propagation of the transition layers in solutions to nonlinear partial differential equations -- Constitutive models of polymer fluids: Towards a unified approach -- Application of homogenization to | |
the study of a suspension of force-free particles -- On the Ericksen's conjecture -- Linear thermodynamics and non-linear phenomena in fluids -- Some remarks on the limit of viscoelastic fluids as the relaxation time tends to zero -- | |
Hydrodynamics of rigid magnetic suspensions -- Non-Newtonian fluids of second grade - rheology, thermodynamics and extended thermodynamics -- Molecular mechanisms of non-linear rubber elasticity -- Some mathematical problems arising in | |
modern developments in non-Newtonian fluid mechanics -- Shear flows of non-linear visco-elastic fluids -- Hyperbolic phenomena in the flow of viscoelastic liquids -- Rheology of shape memory alloys -- A unilateral model to the | |
evaluation of the collapse load of masonry solids. -- On the korn type inequality and problem of justification of refined theories for elastic plates -- Stress functions and stress-function spaces for 3-dimensional elastostatics and | |
dynamics -- Dislocation dynamics in anisotropic thermoelastic-piezoelectric crystals -- Some results of a boundary-layer theory for curved phase interfaces -- Spectrum and periodicity for 0,1-functions -- Criticality in nonlinear | |
elliptic eigenvalue problems | |
ISBN: | 9783540398035 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 249 |
Keywords: | Physics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics |
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Call number: | SPRINGER-1986-9781461386896:ONLINE Show nearby items on shelf |
Title: | Oscillation Theory, Computation, and Methods of Compensated Compactness |
Author(s): | |
Date: | 1986 |
Size: | 1 online resource (395p p.) |
Note: | 10.1007/978-1-4613-8689-6 |
Contents: | Convection of Microstructures by Incompressible and Slightly Compressible Flows -- Oscillations in Solutions to Nonlinear Differential Equations -- Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation -- On |
High-Order Accurate Interpolation for Non-Oscillatory Shock Capturing Schemes -- On the Weak Convergence of Dispersive Difference Schemes -- Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws -- On the Construction | |
of a Modulating Multiphase Wavetrain for a Perturbed KdV Equation -- Evidence of Nonuniqueness and Oscillatory Solutions in Computational Fluid Mechanics -- Very High Order Accurate TVD Schemes -- Convergence of Approximate Solutions | |
to Some Systems of Conservative Laws: A Conjecture on the Product of the Riemann Invariants -- Applications of the Theory of Compensated Compactness -- A General Study of a Commutation Relation given by L. Tartar -- Interrelationships | |
among Mechanics, Numerical Analysis, Compensated Compactness, and Oscillation Theory -- The Solution of Completely Integrable Systems in the Continuum Limit of the Spectral Data -- Stability of Finite-Difference Approximations for | |
Hyperbolic Initial-Boundary-Value Problems -- Construction of a Class of Symmetric TVD Schemes -- Information About Other Volumes in this Program | |
ISBN: | 9781461386896 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | The IMA Volumes in Mathematics and Its Applications: 2 |
Keywords: | Physics , Numerical analysis , Physics , Theoretical, Mathematical and Computational Physics , Numerical Analysis |
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Call number: | SPRINGER-1985-9783642932878:ONLINE Show nearby items on shelf |
Title: | Mathematics in Biology and Medicine Proceedings of an International Conference held in Bari, Italy, July 18–22, 1983 |
Author(s): | |
Date: | 1985 |
Size: | 1 online resource (528 p.) |
Note: | 10.1007/978-3-642-93287-8 |
Contents: | I. — Population Genetics and Ecology -- Invited Papers -- The role of diffusion in mathematical population biology: Skellam revisited -- The dynamics of structured populations: some examples -- Mathematical problems in the description |
of age structured populations -- Contributed Papers -- Models for mutual attraction and aggregation of motile individuals -- A problem on invariant manifolds arising in population genetics -- On a mathematical problem arising in cell | |
population biology -- The external memory of intertidal molluscs:a theoretical study of trail-following -- Stationary distributions for populations subject to random catastrophes -- A nonlinear diffusion equation in phytoplankton | |
dynamics with self—shading effects -- A model of aphid population with age structure -- On two-population models with switching depletion -- On some nonlinear diffusion models in population dynamics -- Reduction of the gene Flow of a | |
“neutral” linked gene due to the partial sterility of heterozygotes for a chromosome mutation -- Predator-mediated coexistence of competing species in a Volterra model -- On a nonlinear problem arising from interaction of algae with | |
light -- II. — Epidemics -- Invited Papers -- Congenital rubella syndrome (C.R.S.): models of disease control by vaccination -- A simulation model for the control of helminth diseases by chemotherapy -- Models for endemic diseases -- | |
Stochastic epidemics as point processes -- Contributed Papers -- A computer simulation program for the assessment of multistate epidemiological models of infectious diseases -- Mathematical model of hepatitis B -- Models of the | |
interaction of host genotypes and infectious disease -- On the general epidemic model in discrete time -- Control of virus transmission in age-structured populations -- Parameter estimation and validation for an epidemic model -- Local | |
stability in epidemic models for heterogeneous populations -- III. — Resource Management -- Invited Papers -- Bayesian methods in ecology and resource management -- Contributed Papers -- Stochastic differential equation models of | |
fisheries in an uncertain world: extinction probabilities, optimal fishing effort, and parameter estimation -- IV. — Physiology and Medicine -- Invited Papers -- Experiment designs identification of simple and complex models of | |
endocrine-metabolic systems -- A mathematical model for cardiac electric sources and related potential fields -- Mathematical analysis of immobilized enzyme systems -- Contributed Papers -- Modeling controls and variability of the cell | |
cycle -- The phase resetting characteristics of endogenously active neurones -- Theory of DNA superhelicity -- Determination of DNA synthesis rate in cell populations with locally exponential S-phase influx -- A numerical study for a | |
cell system -- Experimental validation of a mathematical procedure for the analysis of flow cytometric data -- A stochastic model for describing the space-time evolution of the extreme values of cardiac potentials on the chest surface | |
-- Statistical analysis of the coding capacity of complementary DNA strands -- Mass transport across multimembrane systems: a general analysis -- Time hierarchy in oscillating metabolic systems -- Modeling of the interaction between | |
ligands and cell membrane receptors in the presence of exogenous electric fields -- Balance of growth models of cell populations: the significance of simple mathematical considerations -- The age structure of populations of cells | |
reproducing by asymmetric division -- Numerical simulation of reentry of the activation wave in the heart hiss bundle -- Hopf bifurcation and the repetitive activity of excitable cells -- Nonlinear evolution equations with a | |
convolution term involved in some neurophysiological models -- Investigation of rapid metabolic reactions in whole organs by multiple pulse Labelling -- Cross-linking of identical particles by multiple ligand-types -- Enumeration of | |
RNA secondary structures by complexity -- Growth of cell populations -- V. — Compartmental Analysis -- Invited Papers -- A staging process with applications in biology and medicine -- On the use of residence time moments in the | |
statistical analysis of age-dependent stochastic compartmental systems -- An algorithm for reconstruction of count rate curves from total counts -- Contributed Papers -- On identifiability of linear compartmental systems: some results | |
obtained by means of structural properties of the associated graph -- Compartmental vs, noncompartmental modeling of ketone body kinetics -- Identifiability of compartmental models: on characterization of two extremal types of | |
input-output experiments -- VI. — General Mathematical Methods -- Invited Papers -- Estimation techniques for transport equations -- Stability of delay differential equations with applications in biology and medicine -- Existence of | |
quasi-solutions of systems of nonlinear elliptic BVP’s suggested by biochemical reactions -- Diffusion approximations and first passage time problems in population biology and neurobiology -- Contributed Papers -- The role of | |
exchangeability in biology, genetics and medicine -- Cyclic chemical systems: an asymptotic stability criterion -- On existence, uniqueness and attractivity of stationary solutions to some quasilinear parabolic systems -- Asymptotic | |
estimates for principal eigenvalues -- Remarks on the connection between positive feedback and instability in regard to model selection in population biology -- Lyapunov methods for a wide class of stochastic models in biology -- | |
Existence and uniqueness for a non linear Cauchy problem of hyperbolic type -- Catastrophe theory in biology -- S-system analysis of biological systems | |
ISBN: | 9783642932878 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Biomathematics: 57 |
Keywords: | Mathematics , Algebra , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Applications of Mathematics , Algebra , Mathematical and Computational Biology |
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Call number: | SPRINGER-1985-9781461251507:ONLINE Show nearby items on shelf |
Title: | Student’s Guide to Calculus by J. Marsden and A. Weinstein Volume II |
Author(s): |
Frederick H Soon |
Date: | 1985 |
Size: | 1 online resource (282 p.) |
Note: | 10.1007/978-1-4612-5150-7 |
Contents: | 7 -- Basic Methods of Integration -- 7.1 Calculating Integrals -- 7.2 Integration by Substitution -- 7.3 Changing Variables in the Definite Integral -- 7.4 Integration by Parts -- 7.R Review Exercises for Chapter 7 -- 8 -- |
Differential Equations -- 8.1 Oscillations -- 8.2 Growth and Decay -- 8.3 The Hyperbolic Functions -- 8.4 The Inverse Hyperbolic Functions -- 8.5 Separable Differential Equations -- 8.6 Linear First-Order Equations -- 8.R Review | |
Exercises for Chapter 8 -- 9 -- Applications of Integration -- 9.1 Volumes by the Slice Method -- 9.2 Volumes by the Shell Method -- 9.3 Average Values and the Mean Value Theorem for Integrals -- 9.4 Center of Mass -- 9.5 Energy, | |
Power, and Work -- 9.R Review Exercises for Chpater 9 -- Comprehensive Test for Chapters 7 – 9 -- 10 -- Further Techniques and Applications of Integration -- 10.1 Trigonometric Integrals -- 10.2 Partial Fractions -- 10.3 Arc Length and | |
Surface Area -- 10.4 Parametric Curves -- 10.5 Length and Area in Polar Coordinates -- 10.R Review Exercises for Chapter 10 -- 11 -- Limits, L’Hôpital’s Rule, and Numerical Methods -- 11.1 Limits of Functions -- 11.2 L’Hôpital’s Rule | |
-- 11.3 Improper Integrals -- 11.4 Limits of Sequences and Newton’s Method -- 11.5 Numerical Integration -- 11.R Review Exercises for Chapter 11 -- 12 -- Infinite Series -- 12.1 The Sum of an Infinite Series -- 12.2 The Comparison Test | |
and Alternating Series -- 12.3 The Integral and Ratio Tests -- 12.4 Power Series -- 12.5 Taylor’s Formula -- 12.6 Complex Numbers -- 12.7 Second-Order Linear Differential Equations -- 12.8 Series Solutions of Differential Equations -- | |
12.R Review Exercises for Chapter 12 -- Comprehensive Test for Chapters 7 – 12 | |
ISBN: | 9781461251507 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Functions of real variables , Mathematics , Real Functions |
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Call number: | SPRINGER-1985-9781461250265:ONLINE Show nearby items on shelf |
Title: | Calculus II |
Author(s): |
Jerrold Marsden |
Date: | 1985 |
Edition: | Second Edition |
Size: | 1 online resource (345 p.) |
Note: | 10.1007/978-1-4612-5026-5 |
Contents: | 7 Basic Methods of Integration -- 7.1 Calculating Integrals -- 7.2 Integration by Substitution -- 7.3 Changing Variables in the Definite Integral -- 7.4 Integration by Parts -- 8 Differential Equations -- 8.1 Oscillations -- 8.2 |
Growth and Decay -- 8.3 The Hyperbolic Functions -- 8.4 The Inverse Hyperbolic Functions -- 8.5 Separable Differential Equations -- 8.6 Linear First-Order Equations -- 9 Applications of Integration -- 9.1 Volumes by the Slice Method -- | |
9.2 Volumes by the Shell Method -- 9.3 Average Values and the Mean Value Theorem for Integrals -- 9.4 Center of Mass -- 9.5 Energy, Power, and Work -- 10 Further Techniques and Applications of Integration -- 10.1 Trigonometric | |
Integrals -- 10.2 Partial Fractions -- 10.3 Arc Length and Surface Area -- 10.4 Parametric Curves -- 10.5 Length and Area in Polar Coordinates -- 11 Limits, L’Hôpital’s Rule, and Numerical Methods -- 11.1 Limits of Functions -- 11.2 | |
L’Hôpital’s Rule -- 11.3 Improper Integrals -- 11.4 Limits of Sequences and Newton’s Method -- 11.5 Numerical Integration -- 12 Infinite Series -- 12.1 The Sum of an Infinite Series -- 12.2 The Comparison Test and Alternating Series -- | |
12.3 The Integral and Ratio Tests -- 12.4 Power Series -- 12.5 Taylor’s Formula -- 12.6 Complex Numbers -- 12.7 Second-Order Linear Differential Equations -- 12.8 Series Solutions of Differential Equations -- Answers | |
ISBN: | 9781461250265 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Functions of real variables , Mathematics , Real Functions |
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Call number: | SPRINGER-1983-9783540386780:ONLINE Show nearby items on shelf |
Title: | Equadiff 82 Proceedings of the international conference held in Würzburg, FRG, August 23–28, 1982 |
Author(s): | |
Date: | 1983 |
Size: | 1 online resource (668 p.) |
Note: | 10.1007/BFb0103230 |
Contents: | A contraction-disassembly model for intracellular actin gels -- Differential equations with multiple solutions and nonlinear functional analysis -- Genaue Fixpunktsätze und nichtlineare Sturm - Liouville - Probleme / Sharp fixed point |
theorems and nonlinear Sturm — Liouville Problems -- Asymptotic integration of functional differential systems which are asymptotically autonomous -- Approach to hyperbolic manifolds of stationary solutions -- Linear Volterra-Stieltjes | |
integral equations and control -- Exchange of stability along a branch of periodic solutions of a single specie model -- On asymptotically quadratic Hamiltonian systems -- Numerical analysis of singularities in a diffusion reaction | |
model -- Hyperbolic Lipschitz homeomorphisms and flows -- Some evolution equations arising in physics -- Periodic solutions of neutral functional differential equations -- On subquadratic not-autonomous Hamiltonian systems -- A note on | |
a class of autonomous Hamiltonian systems with strong resonance at infinity -- Stabilizing effects of dissipation -- Periodic solutions of generalized Lienard equations with delay -- Asymptotic and strong asymptotic equivalence to | |
polynomials for solutions of nonlinear differential equations -- On some parabolic integro-differential equations: Existence and asymptotics of solutions -- Oscillation and nonoscillation properties for second order nonlinear | |
differential equations -- Global Hopf bifurcation in porous catalysts -- Weakly nonlinear systems and bifurcation of higher dimensional tori -- Periodic solutions of functional differential equations -- Subharmonic and chaotic | |
solutions of the forced van der Pol relaxation oscillator -- Functional differential equations with infinite delay on the space C? -- Deterministic and stochastic models for the dynamics of animal populations -- Stability properties | |
for functional differential equations with infinite delay -- An averaging method for Volterra integral equations with applications to phase-locked feedback systems -- The asymptotic analysis of boundary value problems by the method of | |
order reduction -- An obstruction approach to multiparameter Hopf bifurcation -- Finite dimensional approximation to systems with infinite dimensional state space -- Asymptotic behavior in functional differential equations with | |
infinite delay -- Uniqueness and nonexistence of limit cycles for the Fitzhugh equation -- Periodic solutions of nonlinear heat equations under discontinuous boundary conditions -- Homoclinic bifurcation of perturbed reversible systems | |
-- On linear differential equations with almostperiodic coefficients and the property that the unit sphere is invariant -- On some classes of nonlinear hyperbolic equations -- Statistical stability of deterministic systems -- Recent | |
developments in stability and error analysis of numerical methods for ordinary differential equations -- Numerical solution of a singular perturbation problem with turning points -- Stability in Hilbert spaces by using the Riccati | |
equation -- Stability analysis of abstract hyperbolic equations using families of Liapunov functions -- On codimension three bifurcations of a family of three-dimensional vector fields -- The complete integrability of Hamiltonian | |
systems -- Linearized dynamics of shearing deformation perturbing rest in viscoelastic materials -- Semigroups of operators in Banach spaces -- A new method for constructing solutions of the Sine-Gordon equation -- Periodic solutions | |
of a class of semilinear, stochastic differential equations with random coefficients -- A duality principle for neutral functional differential equations -- Characterization of periodic solutions of special differential delay equations | |
-- Uniform stability of almost periodic solutions of delay-differential equations -- Vector fields in the vicinity of a compact invariant manifold -- Bifurcation from the essential spectrum -- Some properties of nonlinear differential | |
equations with quasiderivatives -- Global asymptotic stability in epidemic models -- Bifurcation at multiple eignvalues for equivariant mappings -- Linear stability of bifurcating branches of equilibria -- Efficient computation of | |
stable bifurcating branches of nonlinear eigenvalue problems -- Covariance analysis of distributed systems under stochastic point forces -- Subharmonic oscillations of nonlinear systems | |
ISBN: | 9783540386780 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1017 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1982-9783540395614:ONLINE Show nearby items on shelf |
Title: | Ordinary and Partial Differential Equations Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 – April 2, 1982 |
Author(s): | |
Date: | 1982 |
Size: | 1 online resource (728 p.) |
Note: | 10.1007/BFb0064984 |
Contents: | On the asymptotic behaviour of the Titchmarsh-Weyl m-coefficient and the spectral function for scalar second-order differential expressions -- Some limit circle eigenvalue problems and asymptotic formulae for eigenvalues -- Integral |
inequalities and exponential convergence of solutions of differential equations with bounded delay -- Bifurcation of periodic travelling waves for a reaction-diffusion system -- The Dirac equation with an anomalous magnetic moment II | |
-- Periodic solutions of a class of Hamiltonian systems -- Multiparameter problems: The last decade -- An approach to the dirichlet index for operators satisfying minimal conditions -- Nonlinear neutral functional differential | |
equations in product spaces -- A connection formula for the Second Painlevé Transcendent -- The inverse scattering problem for acoustic waves -- On the Hukuhara-Kneser property for some cauchy problems in locally convex topological | |
vector spaces -- Essential self-adjointness and self-adjointness for Generalized Schrödinger Operators -- Asymptotic theory for a critical class of fourth-order differential equations -- Oscillation and nonoscillation theorems for some | |
non-linear ordinary differential equations -- Entropy numbers, s-numbers and eigenvalues -- The singular perturbation approach to flame theory with chain and competing reactions -- On the singular values of non-self-adjoint operators | |
of Schrödinger type -- Optimal control of systems governed by elliptic operator of infinite order -- Comparison principles for some fourth order elliptic problems -- Weak solutions of integrodifferential equations and applications -- | |
Titchmarsh's ?-dependent boundary conditions for Hamiltonian systems -- Exterior boundary value problems for perturbed equations of elliptic type -- Linear transport theory and an indefinite Sturm-Liouville problem -- Non-normalizable | |
eigenfunction expansions for ordinary differential operators -- Some aspects and recent developments in linear control theory -- Eigenvalue problems and the Riemann zeta-function -- Superposition principles and pointwise evaluation of | |
Sturm-Liouville eigenfunction expansions -- Qualitative theory of hyperbolic characteristic initial value problems -- Applications of a comparison theorem for quasi-accretive operators in a hilbert space -- A singular sixth order | |
differential equation with orthogonal polynomial eigenfunctions -- On the asymptotics of some volterra equations with locally finite measures and large perturbations -- Periodic oscillations of forced pendulum-like equations -- A | |
simple layer potential method for three-dimensional eddy current problems -- Index laws for some ordinary differential operators -- Converse initial value problems for a class of heat equations -- Higher order inverse eigenvalue | |
problems -- Indefinite Sturm-Liouville problems -- The infinitesimal generator of a stochastic functional differential equation -- On solutions to the initial-boundary problem for perturbed porous medium equation -- A survey of global | |
properties of linear differential equations of the n-th order -- Strongly nonlinear evolution variational inequalities -- A further result on the essential spectrum of linear 2nth order differential expressions with complex | |
coefficients -- On error bounds for nonstationary spectral Navier-Stokes approximations -- Sectorial second order differential operators -- Spectral mapping theorems for dissipative C0-semigroup generators -- Some preliminary results | |
on periodic solutions of matrix riccati equations -- Solitary and travelling waves in a rod -- Investigations in the theory of partial differential equations of infinite order -- Well-posed boundary problems for hamiltonian systems of | |
limit point or limit circle type -- On uniform asymptotic expansion of a class of integral transforms -- On a new numerical method for a new class of nonlinear partial differential equations arising in nonspherical geometrical optics | |
-- Local existence theorems for ordinary differential equations of fractional order -- Application of the theorem of connectivity of M7 in astronomy -- Perturbations of periodic boundary conditions -- Bifurcation problems with | |
triangular symmetry -- On the foundations of thermodynamics -- On some conjectures on the deficiency index for symmetric differential operators -- On a second-order differential expression and its Dirichlet integral -- An inverse | |
eigenvalue problem for the Laplace operator | |
ISBN: | 9783540395614 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 964 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1981-9783540386247:ONLINE Show nearby items on shelf |
Title: | Seventh International Conference on Numerical Methods in Fluid Dynamics Proceedings of the Conference, Stanford University, Stanford, California and NASA/Ames (U.S.A.) June 23–27,1980 |
Author(s): | |
Date: | 1981 |
Size: | 1 online resource (489 p.) |
Note: | 10.1007/3-540-10694-4 |
Contents: | Trends and pacing items in computational aerodynamics -- Polygon transformations in fluid mechanics -- On the computation of discontinuous multi-dimensional gas flows -- Pseudo-unsteady methods for transonic flow computations -- |
Axisymmetric transonic flow computations using a multigrid method -- Numerical techniques for free surface motion with application to drop motion caused by variable surface tension -- Viscous flow between concentric rotating spheres -- | |
Numerical solutions for a moving shear layer in a swirling axisymmetric flow -- Flow induced by a jet in a cavity measurements and 3D numerical simulation -- Simulation of complex shock reflections from wedges in inert and reactive | |
gaseous mixtures -- Computation of three-dimensional horseshoe vortex flow using the Navier-Stokes equations -- Numerical analysis of stability in magnetohydrodynamical problems -- Compressible flow simulation using Hamilton's | |
equations and Clebsch-type vortex parameters -- Finite element calculation of steady transonic flow in nozzles using primary variables -- Improved surface velocity method for transonic finite-volume solutions -- Numerical simulation of | |
reactive flow in internal combustion engines -- Mixing layer simulation by an improved three-dimensional vortex-in-cell algorithm -- On the numerical solution of a capillary free boundary problem governed by the Navies-Stokes equations | |
-- Transonic flow calculations with higher order finite elements -- A finite-volume method for the prediction of turbulent flow in arbitrary geometries -- A finite difference method for the slow motion of a sphere in a rotating fluid | |
-- Multifluid incompressible flows by a finite element method -- Numerical calculation of transonic axial turbomachinery flows -- A study of reactive diffusion problems with stiff integrators and adaptive grids -- Coordinate generation | |
with precise controls -- An alternating direction implicit finite element method for compressible, viscous flow -- Finite difference computation of the capillary jet, free surface problem -- Simultaneous solutions of inviscid flow and | |
boundary layer at transonic speeds -- Numerical studies on nonlinear hydrodynamic stability by computer-extended perturbation series -- Compact differencing schemes for advective problems -- Study of two-dimensional flow past an | |
elliptic cylinder by discrete-vortex approximation -- Two analytical solutions for the reflection of unsteady shock wave and relevant numerical tests -- Separated boundary layer flows with high Reynolds numbers -- Improvement of | |
numerical schemes by incorporation of approximate solutions applied to rotating compressible flows -- An alternative approach to the numerical simulation of steady inviscid flow -- Reformulation of the method of characteristics for | |
multidimensional flows -- A conjugate gradient iterative method -- A numerical method for the wave resistance of a moving pressure distribution on the free surface -- Numerical methods for solving some fluid mechanics problems met in a | |
strongly rotating gas centrifuge -- Transonic flow computations using grid systems with block structure -- On the convergence of iterative methods for solving the steady-state Navier-Stokes equations by finite differences -- Direct | |
numerical simulations of turbulent shear flows -- Numerical solution of the Navier-Stokes equations by means of a multigrid method and Newton-iteration -- Analytic structure of high Reynolds number flows -- Incompressible mixed finite | |
elements for the Stokes' equation in IR3 -- A fractional volume of fluid method for free boundary dynamics -- Numerical analysis of dynamic stall phenomena of an oscillating airfoil by the discrete-vortex approximation -- Implicit | |
non-iterative scheme for turbulent unsteady boundary layers -- A physical approach to solve numerically complicated hyperbolic flow problems -- Transition and turbulence in planar channel flows -- Some mathematical problems of air | |
basin preservation -- A projection method based on Gaussian quadratures with application to compressible Navier-Stokes equations -- Semidirect solution to steady transonic flow by Newton's method -- The use of the Riemann problem in | |
finite difference schemes -- Stability and separation of freely interacting boundary layers -- An algorithm for unsteady transonic potential flow past airfoils -- Numerical analysis of the asymptotic flow behavior about the edge of a | |
rotating disk -- Analysis of conservative properties of the difference schemes by the method of differential approximation -- A generalized hybrid random choice method with application to internal combustion engines -- Computational | |
models for convective motions induced at fluid interfaces -- Free molecular flows past a concave body -- Successes and surprises with computer-extended series -- A fast method to solve incompressible boundary-layer interaction problems | |
-- Viscous transonic flow over airfoils -- Numerical methods for the solution of the simplified Navier-Stokes equations -- Recent advances in the development of implicit schemes for the equations of fluid dynamics -- High resolution | |
difference schemes for compressible gas dynamics -- Soms- a second order monotone scheme for-shock capturing and its application to the solutions of compressible Navier-Stokes equations -- Economical methods for solving the problems of | |
gas dynamics -- Numerical simulation of the rarefied gas flows -- Mixed spectral/finite difference approximations for slightly viscous flows -- An accurate method for calculating the interactions between discontinuities in three | |
dimensional flow | |
ISBN: | 9783540386247 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 141 |
Keywords: | Physics , Fluids , Physics , Fluid- and Aerodynamics |
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Call number: | SPRINGER-1979-9783540350354:ONLINE Show nearby items on shelf |
Title: | Volterra Equations Proceedings of the Helsinki Symposium on Integral Equations, Otaniemi, Finland, August 11–14, 1978 |
Author(s): | |
Date: | 1979 |
Size: | 1 online resource (318 p.) |
Note: | 10.1007/BFb0064489 |
Contents: | On an abstract volterra equation -- Degenerate nonlinear volterra integral equations in hilbert space -- Direct solution methods for a class of integral equations with random distribution of the inhomogeneous part -- A nonlinear |
contraction semigroup for a functional differential equation -- On abstract volterra equations with kernel of positive resolvent -- Nontrivial periodic solutions of some volterra integral equations -- Fixed points of condensing maps -- | |
Well-posedness and approximations of linear volterra integrodifferential equations in banach spaces -- Some notes on the resolvents of volterra integral equations -- An integrodifferential equation with parameter -- Functional | |
differential equations with discontinuous right hand side -- Some nonlinear singularly perturbed volterra integrodifferential equations -- Existence and comparison results for volterra integral equations in a banach space -- On plane | |
waves propagating into a random fluid: Asymptotic behavior -- On the asymptotic behavior of solutions of integral equations -- On the asymptotics of a nonlinear scalar volterra integrodifferential equation -- Numerical approximations | |
for volterra integral equations -- Well posedness of abstract volterra problems -- Nonlinear vector-valued hereditary equations on the line -- A nonlinear hyperbolic volterra equation -- Differential equations associated with | |
continuous and dissipative time — Dependent domain operators -- On some nonlinear problems of diffusion -- On certain bounded solutions of a volterra integral equation -- Hyperbolic structures for linear volterra differential equations | |
-- A nonlinear volterra integral equation with square integrable solutions -- An abstract volterra stieltjes-integral equation -- Abstract volterra integrodifferential equations and a class of reaction-diffusion equations -- Asymptotic | |
behavior of solutions of linear volterra integrodifferential equations in hilbert space | |
ISBN: | 9783540350354 |
Series: | eBooks |
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Series: | Lecture Notes in Mathematics: 737 |
Keywords: | Mathematics , Mathematics , Mathematics, general |
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Call number: | SPRINGER-1976-9783540375487:ONLINE Show nearby items on shelf |
Title: | Proceedings of the Fifth International Conference on Numerical Methods in Fluid Dynamics June 28 – July 2, 1976 Twente University, Enschede |
Author(s): | |
Date: | 1976 |
Note: | 10.1007/3-540-08004-X |
Contents: | Some methods of resolution of free surface problems -- Turbulence and transition: A progress report -- Some recent developments in computation of viscous flows -- Methods and problems in the calculation of transonic flows -- The |
calculation of aerodynamic characteristics of wing-body combinations at subsonic flight speeds -- Ritz-Galerkin approximations in fluid dynamics -- On computations of supersonic flows around blunt bodies with combined cross sections -- | |
Two coordinate systems description of viscous flow past a circular cylinder -- Numerical investigation of rarefied gas flows by a statistical particle-in-cell method -- Eulerian computations in domains with moving boundaries -- | |
Convection induced by motile particles -- A random choice method in gas dynamics -- Numerical solutions of the triple-deck equations for laminar trailing-edge stall -- Unsteady two-dimensional subsonic transonic, and supersonic flow | |
calculations by the method of characteristics -- Pulsatile flow through a tube containing rigid and distensible sections -- Recent computation of viscous effects in transonic flow -- A numerical method for calculating steady flow past | |
a cylinder -- A new approach to far-field boundary conditions in transonic computations -- Sensitivity analysis applied to boundary layer flow -- A modal analysis for the finite element solution of Navier-Stokes equations -- Numerical | |
simulation of laminar separated flow between periodically varied walls -- Use of surface-oriented coordinates in the numerical simulation of flow in a turbine cascade -- Use of optimal control theory for the numerical simulation of | |
transonic flow by the method of finite elements -- A numerical calculation procedure for two-phase recirculating flows -- The numerical computation of the transonic flow over two-element airfoil systems -- An acceleration technique | |
related to Wynn's ?-algorithm with application to transonic flow calculations -- Periodic secondary motions in a plane channel -- Numerical investigation of viscous effects on trapped oscillations in a rotating fluid -- A higher order | |
panel method for general analysis and design applications in subsonic flow -- Computation of bow shocks in transonic flow -- The method of decomposition applied in transonic flow calculations -- The modelling and calculation of some | |
cosmic phenomena of blast type -- Numerical simulation of the collapse of a cavitation bubble -- Simulation of three-dimensional separated flows with vortex filaments -- A mixed explicit-implicit splitting method for the compressible | |
Navier-Stokes equations -- Numerical solutions of the Navier-Stokes equations for unsteady boundary-layer flows past a wavelike bulge on a flat plate -- Finite-difference solution of the Navier-Stokes equations for incompressible | |
three-dimensional internal flows -- A rapid solver for hyperbolic systems of equations -- Computational aspects of viscous incompressible fluids II -- Laminar boundary-layer solutions in three dimensions -- SLIC (Simple Line Interface | |
Calculation) -- Supersonic flow about elliptic cones with large semiaxis ratio -- Finite-volume solution of the euler equations for steady three-dimensional transonic flow -- Separation phenomena in two-dimensional channel flow -- | |
Resolution nume rique d'un probleme d'ecoule ment subsonique de fluides compressibles -- Numerical methods based on polynomial spline interpolation -- Some properties of difference schemes of third-order accuracy -- Numerical modeling | |
of unsteady flow fields with detonation -- A numerical solution of the axisymmetric jet counterflow problem -- Direct poisson equation solver for potential and pressure fields on a staggered grid with obstacles -- Numerical solution of | |
the Navier Stokes equations at high Reynolds numbers -- Analysis of the properties of approximation viscosity of difference schemes by means of the method of differential approximation -- Physical instability and weather prediction — | |
two examples using a new finite difference scheme -- Solutions of the navier-stokes equations in various flow regimes on fields containing any number of arbitrary bodies using boundary-fitted coordinate systems -- On a rather general | |
computer program for testing the linear stability of various velocity profiles -- Numerical solution of the compressible Navier-Stokes equations at high Reynolds numbers with applications to the blunt body problem -- On the detection | |
of shock waves in steady two- or three-dimensional supersonic gas flows -- Numerical solution of viscous flow equations using integral representations -- Methods for the construction of moving grids for problems of fluid dynamics with | |
big deformations | |
ISBN: | 9783540375487 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 59 |
Keywords: | Physics , Physics , Physics, general |
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Call number: | SPRINGER-1975-9783540374169:ONLINE Show nearby items on shelf |
Title: | Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics June 24–28, 1974, University of Colorado |
Author(s): | |
Date: | 1975 |
Size: | 1 online resource (461 p.) |
Note: | 10.1007/BFb0019722 |
Contents: | Some computational problems in boundary-layer flows -- Initial boundary value problems for hyperbolic partial differential equations -- Numerical solution of turbulent boundary layers approaching separation -- Numerical models of |
rotating stars -- Navier-Stokes solutions using a finite element algorithm -- Interaction of strong shock wave with turbulent boundary layer -- The numerical simulation of low frequency unsteady transonic flow fields -- Quasi-inviscid | |
dynamics of numerical models of two-dimensional flows -- Flat slender delta wings in supersonic stream at small angles of attack -- Numerical experiment in gas dynamics -- Numerical solution of the problems of the mhd flow around the | |
bodies -- Nonuniform grid method for turbulent boundary layers -- Numerical study of the heating of a plasma -- Solution of the three-dimensional compressible Navier-Stokes equations by an implicit technique -- Variationally optimized, | |
grid-insensitive vortex tracing -- A numerical study of pulsatile flow through constricted arteries -- A study of a three dimensional free jet using the vorticity/vector potential method -- High reynolds number transonic flow | |
simulation -- Application of the series truncation method to two-dimensional internal flows -- A physically optimum difference scheme for three-dimensional boundary layers -- Numerical solution of the unsteady navier-stokes equations | |
for the investigation of laminar boundary layer stability -- GTT method applied to cones at large angles of attack -- The numerical solution of blunt body flowfields using RUSANOV's method -- Onset of dissipation at zero viscosity in | |
turbulent flows -- A numerical procedure in the hodograph plane for the study of transonic flow past vying profiles -- Discretisation of the velocity - space in kinetic theory of gases -- On the solution of a mixed problem for the wave | |
equation -- Highly stretched meshes as functionals of solutions -- A numerical study of the thermal spin-up of a stratified fluid in a rapidly rotating cylinder -- Solution of the three-dimensional compressible, laminar, and turbulent | |
boundary-layer equations with comparisons to experimental data -- On finite amplitudes of periodic disturbances of the boundary layer along a flat plate -- Asymptotic solution for supersonic viscous flow past a compression corner -- | |
Leading edge separation from non-conical slender wings at incidence -- A method of calculation for the three-dimensional fluid flow in turbomachines -- Some hydrodynamic problems for multicomponent systems -- Numerical simulation of | |
interacting three-dimensional vortex filaments -- The problem of spurious oscillations in the numerical solution of the equations of gas dynamics -- Rotating thin elliptic cylinder in a parallel viscous fluid flow -- Computational | |
magnetohydrodynamics of time-dependent flows in toroidal systems -- Computational aspects of a viscous incompressible fluid -- Difference methods for transonic flows about airfoils -- On the matter of shock fitting -- On the theory of | |
difference schemes for gas dynamics equations -- Numerical experiments on free surface water motion with bores -- Boundary layer calculation by a hermitian finite difference method -- Numerical solutions for atmospheric boundary layer | |
flows over street canyons -- The leading-edge effect in unsteady free-convection flows -- The transient dynamics of chemically reactive gaseous mixtures with turbulence -- A generalized hyperbolic marching technique for | |
three-dimensional supersonic flow with shocks -- The split nos and bid methods for the steady-state navier-stokes equations -- Some properties of the axisymmetric gas flow about the power shape bodies -- A study of difference methods | |
for radially symmetric shocked flows -- Some results using relaxation methods for two- and three-dimensional transonic flows -- Recent results from the GISS model of the global atmosphere -- Radiating flows with intensive evaporation | |
over blunt bodies -- Steady viscous incompressible flow around a given contour -- Solution of the navier-stokes equations by finite element methods -- Calculations on the hypersonic Rayleigh problem -- Studies of free buoyant and shear | |
flows by the vortex-in-cell method -- Time — dependent one — dimensional liquid — bubble flow -- Drag of a finite flat plate -- Numerical solution of the unsteady navier-stokes equations for the oscillatory flow over a concave body -- | |
A reverse flow computation in the theory of self-induced separation -- A flowfield segmentation method for the numerical solution of viscous flow problems | |
ISBN: | 9783540374169 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 35 |
Keywords: | Physics , Numerical analysis , Fluids , Physics , Fluid- and Aerodynamics , Numerical Analysis , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1974-9783540373025:ONLINE Show nearby items on shelf |
Title: | Constructive and Computational Methods for Differential and Integral Equations Symposium, Indiana University February 17–20, 1974 |
Author(s): | |
Date: | 1974 |
Size: | 1 online resource (480 p.) |
Note: | 10.1007/BFb0066262 |
Contents: | Convergence of the discrete ordinates method for the transport equation -- The numerical solution of the equations for rotating stars -- Automatic solution of differential equations -- Integral operators for parabolic equations and their application -- Galerkin methods for modeling gas pipelines -- The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations -- Collocation solutions of integro-differential equations -- On Dirichlet's problem for quasi-linear elliptic equations -- The numerical solution of some elliptic boundary value problems by integral operator methods -- Iterative schemes for elliptic systems -- Extrapolation in the finite element method with penalty -- Transonic design i n two dimensions -- Approximate regularized solutions to improperly posed linear integral and operator equations -- A majorization technique for hyperbolic equations -- Boundary layer methods for ordinary differential equations with small |
coefficients multiplying the highest derivatives -- Fixed point iterations using infinite matrices, II -- The line method for parabolic differential equations problems in boundary layer theory and existence of periodic solutions -- An integral equat ion method for generalized analytic functions -- Solving partial differential equations using ILLIAC IV | |
ISBN: | 9783540373025 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 430 |
Keywords: | Mathematics , Difference equations , Functional equations , Integral equations , Mathematics , Integral Equations , Difference and Functional Equations |
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Call number: | SPRINGER-1971-9783540369769:ONLINE Show nearby items on shelf |
Title: | Conference on Applications of Numerical Analysis Held in Dundee/Scotland, March 23–26, 1971 |
Author(s): | |
Date: | 1971 |
Size: | 1 online resource (364 p.) |
Note: | 10.1007/BFb0069442 |
Contents: | On the identification of systems and some related questions -- Invariant imbedding: Semigroups in time, space and structure -- Minimisation de Fonctionnelles Non-Differentiables -- Nonlinear integral equations and field approximation problems -- Som e modified eigenvalue problems -- On difference schemes for parabolic differential equations with derivative boundary conditions -- Cell discretization -- Circular arithmetic and the determination of polynomial zeros -- Computation of the moments of solut ions of certain random two point boundary value problems -- Stabilite et Precision des Schemas DSN pour l'Equation de Transport en Geometrie Spherique -- Some applications of the numerical solution of integral equations to boundary value problems -- On th e inverse eigenvalue problem for matrices and related problems for difference and differential equations -- The differential correction algorithm for rational L? approximation -- Resolution Numerique de Certains Problemes Hyperboliques non |
Lineaires. Methode de Pseudo-Viscosite -- Stability of discretizations on infinite intervals -- A rational basis for function approximation -- Some results on best possible error bounds for finite element methods and approximation with piecewise pol ynomial functions -- Removal of an instability in a free convection problem -- Bounds for the error in approximate solutions of ordinary differential equations -- Numerical solution of the sturm liouville problem with periodic boundary conditions -- One d imensional methods for the numerical solution of nonlinear hyperbolic systems -- The development and application of simultaneous iteration for eigenvalue problems -- An iterative procedure for the solution of linear and nonlinear equations -- On weak stab ility, stability, and the type of a polynomial -- Error estimates for certain integration rules on the triangle -- Linear multistep methods with variable matrix coefficients -- Parode: A new representational method for the numerical solution | |
of partial differential equations -- On deriving explicit Runge-Kutta methods -- A finite element for three dimensional function approximation -- Conformal transformation methods for the numerical solution of harmonic mixed boundary value problems | |
ISBN: | 9783540369769 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 228 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Numerical analysis , Mathematics , Numerical Analysis , Analysis |
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Call number: | SPRINGER-1971-9783540366621:ONLINE Show nearby items on shelf |
Title: | Proceedings of the Symposium on Differential Equations and Dynamical Systems University of Warwick September 1968 — August 1969 Summer School, July 15 – 25, 1969 |
Author(s): | |
Date: | 1971 |
Size: | 1 online resource (178 p.) |
Note: | 10.1007/BFb0070117 |
Contents: | On the measure-preserving flow on the torus -- Breaking of waves -- Group extensions of discrete dynamical systems -- Conditions for integrability of certain equations -- Formalisme Lagrangien -- Continuous flows on the plane -- Non-linear cubic dif ferential equations -- Mathematical theory of general systems -- Mathematical theory of multi-level systems -- Geometric elements in the theory of transformations of ordinary second-order linear differential equations -- Dynamical systems on an n-torus -- Continuous flows on the plane : techniques I -- Continuous flows on the plane : techniques II -- Generalisation of Bendixson's theory -- Geodesic flows -- Instability -- One-parameter families of diffeomorphisms -- Topology and mechanics -- Generic prope rties of conservative systems -- Dynamical systems on nilmanifolds -- Linearizing a diffeomorphism -- Topologically transitive diffeomorphisms of T4 -- ?-explosions -- Singularities of exponential maps -- Periodic points, measures and Axiom |
A -- Holomorphic vector fields on CP2 -- Small delays don't matter -- Conjugacy and ergodicity -- SL(n,R) actions -- Diff(M) is simple? -- Distributed parameters control -- Flows outside a compact invariant set -- Non-linear Volterra equations -- Er godic Hamiltonian theory -- Subharmonic solutions to Duffing's equation -- Similarity of automorphisms of the torus -- Differential equations with periodic coefficients -- An algebraic approach to dynamical systems -- Volterra equations and semi-flows -- Homomorphisms of minimal sets -- Boundedness of solutions of 2nd order equations -- Möbius transformations in stability theory -- Some maximum principles for Itô equations -- A periodic wave propagation model for pattern formation in embryos -- Intrinsi cally ergodic systems -- The group of diffeomorphisms, and motion of fluids -- Positional information and the spatial pattern of cellular differentiation -- Bifurcations -- Théorie de Fuchs sur une variété analytique complexe -- Invariant | |
subsets of hyperbolic sets -- The principle of Maupertuis -- Instability in Diffr(T3) -- A global concept of stability under persistent perturbations -- Hausdorff dimension and transversality of discrete flows -- Universal foliations -- Foliations o f the plane -- Synthesis of control systems on manifolds -- Foliations and transformation groups -- Report on Bott's theorem on foliations -- Topological equivalence of foliations -- Foliations -- Difféomorphismes du tore T3 -- Foliations -- Algebraic in variants of foliations -- Work of gromov: generalization of the Smale-Hirsch theorem -- List of speakers at the afternoon sessions of the summer school 15th – 25th July 1969 -- Foliations of codimension one -- Expanding attractors -- Equivalence of dyna mical systems -- Generic bifurcation -- Probabilistic convergence of approximations for partial differential equations -- Mathematical structure of network synthesis -- Actions of R2 on manifolds -- A generalization of Mackey's imprimitivity | |
theorem -- Algebraic problems in dynamical systems -- Almost periodic minimal sets -- Anosov diffeomorphisms -- Sufficiency of jets -- Asymmetric manifolds (Report withdrawn) -- Universal unfoldings (Report not received) -- Functional-differential s ystems and pattern learning -- Stability theory for partial differential equations -- A functional approach to stability of differential equations -- Numerical analysis of nonlinear oscillations -- Dichotomies and stability theory -- Commuting diffeomorph isms -- Predictions for the future of differential equations -- For Ralph | |
ISBN: | 9783540366621 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 206 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1971-9783540365334:ONLINE Show nearby items on shelf |
Title: | Proceedings of the Second International Conference on Numerical Methods in Fluid Dynamics September 15–19, 1970 University of California, Berkeley |
Author(s): | |
Date: | 1971 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource (467 p.) |
Note: | 10.1007/3-540-05407-3 |
Contents: | On the group classification of difference schemes for systems of equations in gas dynamics -- Numerical integration of the Euler-equations for three-dimensional unsteady flows -- The computation of supersonic flow fields about |
wing-body combinations by “shock-capturing” finite difference techniques -- Finite difference scheme for calculating problems in three space dimensions and time -- Foundation of approximate solutions -- Flag: A free-Lagrange method for | |
numerically simulating hydrodynamic flows in two dimensions -- Difference methods for hyperbolic equations using space and time split difference operators of third order accuracy -- A new direct method for the discretized Poisson | |
equation -- Initial conditions and imbedded shocks in the numerical analysis of transonic flows -- Traitement Numerique D'un Problems De Magnetohydrodynamique -- Computation of laminar recirculating flow between shrouded rotating discs | |
-- Some semi-analytical methods in numerical fluid dynamics -- Laminar flows past a flat plate at various angles of attack -- Inclusion of turbulence effects in numerical fluid dynamics -- Accurate numerical methods for boundary layer | |
flows I. Two dimensional laminar flows -- The reduction of the Stefan problem to tbe solution of an ordinary differential equation -- Discretization of boundary conditions on moving discontinuities -- “The viscous flow around a | |
circular cylinder” -- A numerical study of buoyancy driven flows in room enclosures -- The structure of the laminar boundary layer under a potential vortex -- Exact numerical solutions for three-dimensional boundary layers -- Higher | |
order effects in laminar boundary layer theory for curved surfaces -- Finite-difference methods for solving the boundary layer equations with second-order accuracy -- Numerical solution of the interaction of a shock wave with a laminar | |
boundary layer -- A numerical solution of the planar supersonic near-wake with its error analysis -- Boundary-layer separation at a free streamline finite difference calculations -- Computational meshes for boundary layer problems -- | |
Error bounds in boundary layer theory -- Time-dependent calculation method for transonic nozzle flows -- Generalized relaxation methods applied to problems in transonic flow -- Solution of the transonic potential equation using a mixed | |
finite difference system -- The calculation of high subsonic flow past bodies by the method of integral relations -- The calculation of hydrodynamic forces with tangential discontinuities -- Some results of calculations of flows around | |
conical bodies at large incidence angles -- The computation of general problems in one dimensional unsteady flow by the method of characteristics -- Stability and accuracy studies on a second-order method of characteristics scheme for | |
three-dimensional, steady, supersonic flow -- Subcritical flows over two dimensional airfoils by a multistrip method of integral relations -- On the calculation of gas flows with secondary floating shocks -- Motion of a shock wave | |
through a nonuniform fluid -- Non-linear analysis of the shock profile in difference schemes -- Shock wave structure by several new modeled Boltzmann equations -- Computational aspects of the turbulence problem -- Two-dimensional | |
turbulence and atmospheric predictability -- A heuristic approach to three-dimensional boundary layers -- Numerical simulation of transition and turbulence in plane Poiseuille flow -- Heuristic analysis of convective finite difference | |
techniques -- The conical wing in hypersonic flow -- Calcul des Ecoulements d'un Fluide Visqueux Incompressibile -- A numerical method for calculating the initial flow past a cylinder in a viscous fluid -- An arbitrary | |
Lagrangian-Eulerian computing technique -- Computation of viscous flow in a channel by the method of splitting -- Study of vortex flows at high swirl by an integral method using exponentials -- Recent extensions to the marker-and-cell | |
method For incompressible fluid flows -- A numerical study of time-dependent rotating flow in a cylindrical container at low and moderate Reynolds numbers -- Methodes numeriques pour l'ecoulemient stationnaire d'un fluide rigide | |
visco-plastique incompressible -- Numerical analysis and modeling of slip flows at very high mach numbers -- Some numerical solutions of unsteady free surface wave problems using the Lagrangian description of the flow -- Numerical | |
solution of the non-linear problems of unsteady flows in open channels -- Incompressible calculations of underwater explosion phenomena -- The digital simulation of water waves — An evaluation of SUMMAC -- LINC method extensions -- An | |
exact numerical solution of the solitary wave -- Numerical calculation of fluid flows at arbitrary mach number -- Implicit solution of creeping flows, with application to continental drift -- The numerical solution of unsteady free | |
surface flows by conformal mapping | |
ISBN: | 9783540365334 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 8 |
Keywords: | Physics , Physics , Physics, general |
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Call number: | SPRINGER-1969-9783540361589:ONLINE Show nearby items on shelf |
Title: | Conference on the Numerical Solution of Differential Equations Held in Dundee/Scotland, June 23–27, 1969 |
Author(s): | |
Date: | 1969 |
Size: | 1 online resource (278 p.) |
Note: | 10.1007/BFb0060012 |
Contents: | Generalisation of an inclusion theorem of L.COLLATZ -- On certain iterative methods for solving nonlinear difference equations -- Instability when solving Volterra integral equations of the second kind by multistep methods -- Numerical solution of b oundary value problems in Chebyshev series — A method of computation and error estimation -- The numerical stability in solution of differential equations -- On the effects of scaling of the peaceman-rachford method -- The effective order of Runge-Kutta methods -- Error bounds for some single step methods -- Approximation of nonlinear operators -- On the numerical treatment of hyperbolic differential equations with constant coefficients, particularly the n-dimensional wave equation -- Monotonic differen ce schemes for weakly coupled systems of parabolic differential equations -- The numerical solution of evolutionary partial differential equations -- A method for the numerical integration of non-linear ordinary differential equations with |
greatly different time constants -- Numerical solution of two differential-difference equations of analytic theory of numbers -- Global accuracy and A-stability of one- and two-step integration formulae for stiff ordinary differential equations -- O ptimal order multistep methods with an arbitrary number of nonsteppoints -- Alternating direction methods for parabolic equations in two and three space dimensions with mixed derivatives -- On the convergence rates of variational methods -- An A-stable mo dification of the Adams-Bashforth methods -- Stability, consistency and convergence of variable K-step methods for numerical integration of large systems of ordinary differential equations -- Local-error estimates for variable-step Runge-Kutta methods -- Time-dependent techniques for the solution of viscous, heat conducting, chemically reacting, radiating discontinuous flows -- Attempts to optimize the structure of an ode program -- Round-off error in the numerical solution of second order | |
differential equations -- Stability properties of the extrapolation method -- Implicit methods for implicit differential equations -- Solution of elliptic eigenvalue problems by calculating Separable solutions of a dynamic problem | |
ISBN: | 9783540361589 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 109 |
Keywords: | Mathematics , Mathematics , Mathematics, general |
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Call number: | QC760.4.M33A85::1988 Show nearby items on shelf |
Title: | The geometry and dynamics of magnetic monopoles |
Author(s): |
Michael Francis Atiyah Nigel J. Hitchin |
Date: | 1988 |
ISBN: | 0691084807 |
Keywords: | Magnetic monopoles Mathematics. , Solitons. , Geometry. , Differential equations, Hyperbolic Numerical solutions. |
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Location: | MAIN |
Call number: | QA377.K844::2001 Show nearby items on shelf |
Title: | Mathematical aspects of numerical solution of hyperbolic systems |
Author(s): |
Andrei Gennadievich Kulikovskii N.V. Pogorelov |
Date: | 2001 |
Publisher: | Chapman & Hall/CRC, Boca Raton |
Size: | 540 |
ISBN: | 0849306086 |
Series: | Chapman & Hall/CRC monographs and surveys in pure and applied mathematics : 118 |
Keywords: | Differential equations, Hyperbolic Numerical solutions. |
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Location: | MAIN |
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