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Call number: | 9789811031809:ONLINE Show nearby items on shelf |
Title: | Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities |
Author(s): |
Marat Akhmet |
Date: | 2017 |
Size: | 1 online resource (XI, 166 p. 31 illus., 26 illus. in color p.) |
Contents: | Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork |
Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type | |
ISBN: | 9789811031809 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Control engineering , Mathematics , Dynamical Systems and Ergodic Theory , Control , Applications of Nonlinear Dynamics and Chaos Theory , Difference and Functional Equations , Ordinary Differential Equations |
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Call number: | 9783319517537:ONLINE Show nearby items on shelf |
Title: | Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.) |
Contents: | Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with |
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random | |
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation | |
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied | |
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent | |
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the | |
Barndor-Nielsen-Shephard Model for Commodity Markets | |
ISBN: | 9783319517537 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences |
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Call number: | 9783319428604:ONLINE Show nearby items on shelf |
Title: | Asymptotic Representation of Relaxation Oscillations in Lasers |
Author(s): |
Elena V Grigorieva |
Date: | 2017 |
Size: | 1 online resource (VIII, 230 p. 73 illus p.) |
Contents: | 1 Introduction -- 2 Spiking in Single-Mode Laser -- 3 Spiking in Lasers with Delayed Feedback -- 4 Rectangular Pulsing in Lasers with Delayed Feedback -- 5 Relaxation Oscillations in Coupled Laser Systems -- Appendixes -- References |
ISBN: | 9783319428604 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Differential equations , Fluid mechanics , Physics , Theoretical, Mathematical and Computational Physics , Ordinary Differential Equations , Optics, Lasers, Photonics, Optical Devices , Engineering Fluid Dynamics |
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Location: | ONLINE |
Call number: | 3527406107:ONLINE Show nearby items on shelf |
Title: | Numerical Solution of Ordinary Differential Equations - for Classical, Relativistic and Nano Systems |
Author(s): |
Greenspan |
Date: | 2006 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (217 p.) |
ISBN: | 9783527406104 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Physics |
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Call number: | 1119121507:ONLINE Show nearby items on shelf |
Title: | Numerical Methods for Ordinary Differential Equations 3e |
Author(s): |
Butcher |
Date: | 2016 |
Size: | 1 online resource (539 p.) |
ISBN: | 9781119121503 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Call number: | 0470723351:ONLINE Show nearby items on shelf |
Title: | Numerical Methods for Ordinary Differential Equations 2e |
Author(s): |
Butcher |
Date: | 2008 |
Publisher: | Wiley |
Size: | 1 online resource (483 p.) |
ISBN: | 9780470723357 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Call number: | 0470408553:ONLINE Show nearby items on shelf |
Title: | General Linear Methods for Ordinary Differential Equations |
Author(s): |
Jackiewicz |
Date: | 2009 |
Publisher: | Wiley |
Size: | 1 online resource (483 p.) |
ISBN: | 9780470408551 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Location: | ONLINE |
Call number: | 047004294X:ONLINE Show nearby items on shelf |
Title: | Numerical Solution of Ordinary Differential Equations |
Author(s): |
Atkinson |
Date: | 2009 |
Publisher: | Wiley |
Size: | 1 online resource (273 p.) |
ISBN: | 9780470042946 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Call number: | TA330.J44::2002 Show nearby items on shelf |
Title: | Advanced engineering mathematics |
Author(s): |
Alan Jeffrey |
Date: | 2002 |
Publisher: | Harcourt Academic Press |
Note: | Volume 2 is the solutions manual |
Contents: | Review of Prerequisites |
Vectors and Matrices | |
Vectors and Vector Spaces | |
Matrices and Systems of Linear Equations | |
Eigenvalues, Eigenvectors and Diagonalization | |
Ordinary Differential Equations | |
First Order Differential Equations | |
Second and Higher Order Linear Differential Equations and Systems | |
The Laplace Transform | |
Series Solutions of Differential Equations, Special Functions, and Sturm-Liouville Equations | |
Fourier Series | |
Fourier Integrals and the Fourier Transform | |
Vector Calculus | |
Vector Differential Calculus | |
Vector Integral Calculus | |
Complex analysis | |
Analytic Functions | |
Complex Integration | |
Laurent Series, Residues, and Contour Integration | |
The Laplace Inversion Integral | |
Particla Differential Equations | |
Numerical Mathematics | |
ISBN: | 012382592X |
Keywords: | Engineering mathematics |
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Location: | MAIN |
Call number: | SPRINGER-2016-9788132228127:ONLINE Show nearby items on shelf |
Title: | Nonlinear Ordinary Differential Equations Analytical Approximation and Numerical Methods |
Author(s): |
Martin Hermann |
Date: | 2016 |
Size: | 1 online resource (310 p.) |
Note: | 10.1007/978-81-322-2812-7 |
Contents: | A Brief Review of Elementary Analytical Methods for Solving Nonlinear ODEs -- Analytical Approximation Methods -- Further Analytical Approximation Methods and Some Applications -- Nonlinear Two-Point Boundary Value Problems -- Numerical Treatment o f Parameterized Two-Point Boundary Value Problems |
ISBN: | 9788132228127 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Differential equations , Mathematical physics , Numerical analysis , Mathematics , Ordinary Differential Equations , Numerical Analysis , Mathematical Physics , Mathematical Applications in the Physical Sciences |
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Call number: | SPRINGER-2016-9783319327266:ONLINE Show nearby items on shelf |
Title: | Scaling of Differential Equations |
Author(s): |
Hans Petter Langtangen |
Date: | 2016 |
Size: | 1 online resource (138 p.) |
Note: | 10.1007/978-3-319-32726-6 |
Contents: | Preface -- 1 Dimensions and Units -- 2 Ordinary Differential Equations Models -- 3 Basic Partial Differential Equations Models -- Advanced Partial Differential Equations Models -- References -- Index |
ISBN: | 9783319327266 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Simula SpringerBriefs on Computing : 2 |
Keywords: | Mathematics , Computer simulation , Differential equations , Partial differential equations , Computer mathematics , Mathematical models , Mathematics , Ordinary Differential Equations , Partial Differential Equations , Mathematical Modeling and Industrial Mathematics , Computational Science and Engineering , Simulation and Modeling |
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Call number: | SPRINGER-2016-9783319324289:ONLINE Show nearby items on shelf |
Title: | Programming for Computations - Python A Gentle Introduction to Numerical Simulations with Python |
Author(s): |
Svein Linge |
Date: | 2016 |
Size: | 1 online resource (232 p.) |
Note: | 10.1007/978-3-319-32428-9 |
Contents: | Preface -- The first few steps -- Basic constructions -- Computing integrals -- Solving ordinary differential equations -- Solving partial differential equations -- Solving nonlinear algebraic equations -- Getting access to Python -- References -- Index |
ISBN: | 9783319324289 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Texts in Computational Science and Engineering: 15 |
Keywords: | Mathematics , Numerical analysis , Computer mathematics , Computer software , Mathematics , Computational Science and Engineering , Numeric Computing , Mathematical Software , Numerical Analysis |
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Call number: | SPRINGER-2016-9783319320854:ONLINE Show nearby items on shelf |
Title: | Geometry, Algebra and Applications: From Mechanics to Cryptography |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (198 p.) |
Note: | 10.1007/978-3-319-32085-4 |
Contents: | 1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vázquez, E. Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo, L ocal structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillón López, P. L. García, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillón López, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martínez, L. Hernández Encinas, A. Martín Muñoz, |
Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernández-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodríguez, Prime submodules and symmetric algebra s -- 14 A. Martín del Rey, G. Rodríguez Sánchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-stru cture -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle | |
ISBN: | 9783319320854 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 161 |
Keywords: | Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Coding theory , Differential geometry , Mathematical physics , Mathematics , Mathematical Physics , Differential Geometry , Data Encryption , Data Structures , Coding and Information Theory |
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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-2016-9783319318424:ONLINE Show nearby items on shelf |
Title: | Hasse-Schmidt Derivations on Grassmann Algebras With Applications to Vertex Operators |
Author(s): |
Letterio Gatto |
Date: | 2016 |
Size: | 1 online resource (195 p.) |
Note: | 10.1007/978-3-319-31842-4 |
Contents: | Prologue -- Generic Linear Recurrence Sequences -- Algebras and Derivations -- Hasse-Schmidt Derivations on Exterior Algebras -- Schubert Derivations -- Decomposable Tensors in Exterior Powers -- Vertex Operators via Generic LRS -- Index |
ISBN: | 9783319318424 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | IMPA Monographs : 4 |
Keywords: | Mathematics , Matrix theory , Algebra , Operator theory , Differential equations , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Ordinary Differential Equations , Operator Theory |
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Call number: | SPRINGER-2016-9783319314624:ONLINE Show nearby items on shelf |
Title: | Nonlinear Water Waves Cetraro, Italy 2013 |
Author(s): |
Adrian Constantin |
Date: | 2016 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-3-319-31462-4 |
Contents: | Adrian Constantin: Exact travelling periodic water waves in two-dimensional irrotational flows -- Joachim Escher: Breaking Water Waves -- Robin Stanley Johnson: Asymptotic methods for weakly nonlinear and other water waves -- Gabriele Villari: A su rvival kit in phase plane analysis: some basic models and problems |
ISBN: | 9783319314624 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 2158 |
Keywords: | Mathematics , Differential equations , Partial differential equations , Mathematical physics , Mathematics , Mathematical Applications in the Physical Sciences , Partial Differential Equations , Ordinary Differential Equations |
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Call number: | SPRINGER-2016-9783319297361:ONLINE Show nearby items on shelf |
Title: | Differential and Difference Equations A Comparison of Methods of Solution |
Author(s): |
Leonard C Maximon |
Date: | 2016 |
Size: | 1 online resource (162 p.) |
Note: | 10.1007/978-3-319-29736-1 |
Contents: | Preface -- Introduction -- 1 Operators -- 2 Solution of homogeneous and inhomogeneous linear equations -- 3 First order homogeneous and inhomogeneous linear equations -- 4 Second-order homogeneous and inhomogeneous equations -- 5 |
Self-adjoint linear equations -- 6 Green’s function -- 7 Generating function, z-transforms, Laplace transforms and the solution of linear differential and difference equations -- 8 Dictionary of difference equations with polynomial | |
coefficients -- Appendix A: Difference operator -- Appendix B: Notation -- Appendix C: Wronskian Determinant -- Appendix D: Casoratian Determinant -- Appendix E: Cramer’s Rule -- Appendix F: Green’s function and the Superposition | |
principle -- Appendix G: Inverse Laplace transforms and Inverse Generating functions -- Appendix H: Hypergeometric function -- Appendix I: Confluent Hypergeometric function -- Appendix J. Solutions of the second kind -- Bibliography | |
ISBN: | 9783319297361 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Difference equations , Functional equations , Differential equations , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Difference and Functional Equations , Mathematical Applications in the Physical Sciences , Ordinary Differential Equations |
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Call number: | SPRINGER-2016-9783319290751:ONLINE Show nearby items on shelf |
Title: | Divergent Series, Summability and Resurgence II Simple and Multiple Summability |
Author(s): |
Michèle Loday-Richaud |
Date: | 2016 |
Size: | 1 online resource (272 p.) |
Note: | 10.1007/978-3-319-29075-1 |
Contents: | Avant-propos -- Preface to the three volumes -- Introduction to this volume -- 1 Asymptotic Expansions in the Complex Domain -- 2 Sheaves and Čech cohomology -- 3 Linear Ordinary Differential Equations -- 4 Irregularity and Gevrey Index Theorems - - 5 Four Equivalent Approaches to k-Summability -- 6 Tangent-to-Identity Diffeomorphisms -- 7 Six Equivalent Approaches to Multisummability -- Exercises -- Solutions to Exercises -- Index -- Glossary of Notations -- References |
ISBN: | 9783319290751 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 2154 |
Keywords: | Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Difference and Functional Equations , Dynamical Systems and Ergodic Theory |
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Call number: | SPRINGER-2016-9783319290256:ONLINE Show nearby items on shelf |
Title: | Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control |
Author(s): |
Russell Johnson |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (497 p.) |
Note: | 10.1007/978-3-319-29025-6 |
Contents: | Nonautonomous linear Hamiltonian systems -- The rotation number and the Lyapunov index for real nonautonomous linear Hamiltonian systems -- The Floquet coeffcient for nonautonomous linear Hamiltonian systems: Atkinson problems -- The Weyl functions -- Weak disconjugacy for linear Hamiltonian systems -- Nonautonomous control theory. Linear regulator problem and the Kalman-Bucy filter -- Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem -- Nonautonomous control theor y. Linear-quadratic dissipative control processes -- Index -- References |
ISBN: | 9783319290256 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Developments in Mathematics: 36 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Differential equations , System theory , Mathematics , Dynamical Systems and Ergodic Theory , Ordinary Differential Equations , Systems Theory, Control |
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Call number: | SPRINGER-2016-9783319290003:ONLINE Show nearby items on shelf |
Title: | Divergent Series, Summability and Resurgence III Resurgent Methods and the First Painlevé Equation |
Author(s): |
Eric Delabaere |
Date: | 2016 |
Size: | 1 online resource (14 p.) |
Note: | 10.1007/978-3-319-29000-3 |
Contents: | Avant-Propos -- Preface to the three volumes -- Preface to this volume -- Some elements about ordinary differential equations -- The first Painlevé equation -- Tritruncated solutions for the first Painlevé equation -- A step beyond Borel-Laplace summability -- Transseries and formal integral for the first Painlevé equation -- Truncated solutions for the first Painlevé equation -- Supplements to resurgence theory -- Resurgent structure for the first Painlevé equation -- Index |
ISBN: | 9783319290003 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 2155 |
Keywords: | Mathematics , Functions of complex variables , Differential equations , Sequences (Mathematics) , Special functions , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Functions of a Complex Variable , Special Functions |
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Call number: | SPRINGER-2016-9783319281063:ONLINE Show nearby items on shelf |
Title: | University of Toronto Mathematics Competition (2001–2015) |
Author(s): |
Edward J Barbeau |
Date: | 2016 |
Size: | 1 online resource (1 p.) |
Note: | 10.1007/978-3-319-28106-3 |
Contents: | Preface -- 1. Problems of the Contests -- 2. Algebra -- 3. Inequalities -- 4. Sequences and Series -- 5. Calculus and its Applications -- 6. Other Topics in Analysis -- 7. Linear Algebra -- 8. Geometry -- 9. Group Theory -- 10. Combinatorics and Fi nite Mathematics -- 11. Number Theory -- Appendix A: Definitions, Conventions, Notation, and Basics -- Appendix B: Top-Ranking Students -- Index. |
ISBN: | 9783319281063 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Group theory , Differential equations , Functions of real variables , Geometry , Mathematics , Real Functions , Geometry , Group Theory and Generalizations , Ordinary Differential Equations |
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Call number: | SPRINGER-2016-9783319279398:ONLINE Show nearby items on shelf |
Title: | Mathematics in Everyday Life |
Author(s): |
John Haigh |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (14 p.) |
Note: | 10.1007/978-3-319-27939-8 |
Contents: | Money -- Differential Equations -- Sport and Games -- Business Applications -- Social Sciences -- TV Game Shows |
ISBN: | 9783319279398 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Differential equations , Game theory , Mathematical models , Mathematics , Mathematics, general , Ordinary Differential Equations , Game Theory, Economics, Social and Behav. Sciences , Mathematical Modeling and Industrial Mathematics |
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Call number: | SPRINGER-2016-9783319277608:ONLINE Show nearby items on shelf |
Title: | Navier–Stokes Equations An Introduction with Applications |
Author(s): |
Grzegorz Łukaszewicz |
Date: | 2016 |
Size: | 1 online resource (390 p.) |
Note: | 10.1007/978-3-319-27760-8 |
Contents: | Introduction and summary -- Equations of classical hydrodynamics -- Mathematical preliminaries -- Stationary solutions of the Navier–Stokes equations -- Stationary solutions of the Navier–Stokes equations with friction -- Stationary flows in na rrow films and the Reynolds equation -- Autonomous two-dimensional Navier–Stokes equations -- Invariant measures and statistical solutions -- Global attractors and a lubrication problem -- Exponential attractors in contact problems -- Non-autonomous Nav ier–Stokes equations and pullback attractors -- Pullback attractors and statistical solutions -- Pullback attractors and shear flows -- Trajectory attractors and feedback boundary control in contact problems.-Evolutionary systems and the Navier–Stokes equations -- Attractors for multivalued processes in contact problems -- References -- Index |
ISBN: | 9783319277608 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Dynamics , Ergodic theory , Differential equations , Partial differential equations , Fluid mechanics , Mathematics , Partial Differential Equations , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Engineering Fluid Dynamics |
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Call number: | SPRINGER-2016-9783319272658:ONLINE Show nearby items on shelf |
Title: | Basic Concepts in Computational Physics |
Author(s): |
Benjamin A Stickler |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (409 p.) |
Note: | 10.1007/978-3-319-27265-8 |
Contents: | Some Basic Remarks -- Part I Deterministic Methods -- Numerical Differentiation -- Numerical Integration -- The KEPLER Problem -- Ordinary Differential Equations – Initial Value Problems -- The Double Pendulum -- Molecular Dynamics -- |
Numerics of Ordinary Differential Equations - Boundary Value Problems -- The One-Dimensional Stationary Heat Equation -- The One-Dimensional Stationary SCHRÖDINGER Equation -- Partial Differential Equations -- Part II Stochastic | |
Methods -- Pseudo Random Number Generators -- Random Sampling Methods -- A Brief Introduction to Monte-Carlo Methods -- The ISING Model -- Some Basics of Stochastic Processes -- The Random Walk and Diffusion Theory -- MARKOV-Chain | |
Monte Carlo and the POTTS Model -- Data Analysis -- Stochastic Optimization -- Appendix: The Two-Body Problem -- Solving Non-Linear Equations. The NEWTON Method -- Numerical Solution of Systems of Equations -- Fast Fourier Transform -- | |
Basics of Probability Theory -- Phase Transitions -- Fractional Integrals and Derivatives in 1D -- Least Squares Fit -- Deterministic Optimization | |
ISBN: | 9783319272658 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Chemistry, Physical and theoretical , Computer mathematics , Applied mathematics , Engineering mathematics , Physics , Numerical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , Computational Mathematics and Numerical Analysis , Theoretical and Computational Chemistry |
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Title: | Stochastic Integration by Parts and Functional Itô Calculus |
Author(s): |
Vlad Bally |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (207 p.) |
Note: | 10.1007/978-3-319-27128-6 |
ISBN: | 9783319271286 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Differential equations , Partial differential equations , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Ordinary Differential Equations , Partial Differential Equations |
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Call number: | SPRINGER-2016-9783319263397:ONLINE Show nearby items on shelf |
Title: | Inverse Problems in Ordinary Differential Equations and Applications |
Author(s): |
Jaume Llibre |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (8 p.) |
Note: | 10.1007/978-3-319-26339-7 |
Contents: | Preface -- 1.Differential Equations with Given Partial and First Integrals -- 2.Polynomial Vector Fields with Given Partial and First Integrals -- 3.16th Hilbert Problem for Algebraic Limit Cycles -- 4.Inverse Problem for Constrained Lagrangian Sys tems -- 5.Inverse Problem for Constrained Hamiltonian Systems -- 6.Integrability of the Constrained Rigid Body -- 7.Inverse Problem in the Vakonomic Mechanics -- Index -- Bibliography |
ISBN: | 9783319263397 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematics: 313 |
Keywords: | Mathematics , Differential equations , Mathematics , Ordinary Differential Equations |
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Call number: | SPRINGER-2016-9781493927852:ONLINE Show nearby items on shelf |
Title: | Mathematics for Natural Scientists Fundamentals and Basics |
Author(s): |
Lev Kantorovich |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (118 p.) |
Note: | 10.1007/978-1-4939-2785-2 |
Contents: | I. Fundamentals -- Basic Knowledge -- Functions -- II. Basics -- Derivatives -- Integral -- Functions of Many Variables: Differentiation -- Functions of Many Variables: Integration -- Infinite Numerical and Functional Series -- |
Ordinary Differential Equations | |
ISBN: | 9781493927852 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Chemometrics , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Math. Applications in Chemistry , Mathematical Applications in the Physical Sciences , Numerical and Computational Physics |
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Call number: | SPRINGER-2014-9789400770942:ONLINE Show nearby items on shelf |
Title: | Nonlinear Dynamics and Chaotic Phenomena: An Introduction [electronic resource] |
Author(s): |
Bhimsen K Shivamoggi |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics --integrable systems, Poin car maps, chaos, fractals and strange attractors. The Bakers transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detaileddiscussion of solitons centered around the Korteweg-d eVries equation in view of its central place in integrable systems. Then, there is a discussion of the Painlev property of nonlinear differential equations which seems to provide atest of integrability. Finally, there is a detailed discussion of the appli cation of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of theconcepts and methods of modern nonlinear dynamics. On the application side, there is a special emp hasis on some aspects of fluid dynamics and plasma physics reflecting the authors involvement in these areas of physics. A fewexercises have been provided that range from simple applications to occasional considerable extension of the theory. This book ha s grown out of the authors lecture notes for an interdisciplinary graduate-level course on nonlineardynamics. The basic concepts, language and results of nonlinear dynamical systems are described in a clear and coherent way. In order to allow for an inter disciplinary readership, an informal style has been adopted and the mathematicalformalism has been kept to a minimum. This book is addressed to first-year graduate students in applied mathematics, physics, and engineering, and is useful also to any theore tically inclined researcher in the physical sciences andengineering. This second edition constitutes an extensive rewrite of the text involving refinement and enhancement of the clarity a |
Contents: | 1 Nonlinear Ordinary Differential Equations |
1.1 First | |
order Systems | |
1.1.1 Dynamical System | |
1.1.2 Lipschitz Condition | |
1.1.3 Gronwalls Lemma | |
1.1.4 Linear Equations | |
1.1.5 Autonomous Equations | |
1.1.6 Stability of Equilibrium Points | |
1.1.6.1 Liapunov and Asymptotic Stability | |
1.1.6.2 Liapunov Function Method | |
1.1.7 Center Manifold Theorem | |
1.2 Phase | |
plane Analysis | |
1.3 Fully Nonlinear Evolution | |
1.4 Non | |
autonomous Systems | |
2 Bifurcation Theory | |
2.1 Stability and Bifurcation | |
2.2 Saddle | |
Node, Transcritical and Pitchfork Bifurcations | |
2.3 Hopf Bifurcation | |
ISBN: | 9789400770942 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Fluid Mechanics and Its Applications, 0926-5112 : v103 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Vibration , Hydraulic engineering , Mechanical engineering |
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Title: | A First Course in Ordinary Differential Equations [electronic resource] : Analytical and Numerical Methods |
Author(s): |
Martin Hermann Masoud Saravi |
Date: | 2014 |
Publisher: | New Delhi : Springer India : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional formatthe theorem-and-proof formatthe book is focusing onanalytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals withsolution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEswith a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical andpractical aspects of Runge-Kutta methods for solving initial-value problems and sh ooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs andnumerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists,chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a r eference work and tool for independent study. The book has been prepared within the framework of aGermanIranian research project on mathematical methods for ODEs, which was started in early 2012 |
Contents: | Chapter 1. Basic Concepts of Differential Equations |
Chapter 2. First | |
Order Differential Equations | |
Chapter 3. Second | |
Order Differential Equations | |
Chapter 4. Laplace Transforms | |
Chapter 5. System of Linear Differential Equations | |
Chapter 6. Power Series Solutions | |
Chapter 7. Numerical Methods for Initial Value Problems | |
Chapter 8. Shooting Methods for Linear Boundary | |
Appendix A. Power Series | |
Appendix B. Some elementary integration formulae | |
Appendix C. Table of Laplacetransforms. | |
ISBN: | 9788132218357 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Numerical analysis , Materials |
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Call number: | SPRINGER-2014-9783642453670:ONLINE Show nearby items on shelf |
Title: | Scientific Computing with MATLAB and Octave [electronic resource] |
Author(s): |
Alfio Quarteroni Fausto Saleri Paola Gervasio |
Date: | 2014 |
Edition: | 4th ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros,the extrema, and the i ntegrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make theformat concrete and appealing, the programmin g environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from importantapplications. At the end of each chapter, a specific section is devot ed to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review:.... This carefully written textbook, the third English edition, contains substantial new devel opments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited forreaders who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject. Roberto Plato (Siegen), Zentralblatt MATH 1205.65002 |
Contents: | 1. What can' t be ignored |
2. Nonlinear equations | |
3. Approximation of functions and data | |
4. Numerical differentiation and integration | |
5. Linear systems | |
6. Eigenvalues and eigenvectors | |
7. Numerical optimization | |
8. Ordinary differential equations | |
9. Numerical approximation of boundary | |
value problems | |
10. Solutions of the exercises | |
References | |
Index | |
ISBN: | 9783642453670 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry , Computer science , Visualization , Engineering |
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Title: | The Concept of Stability in Numerical Mathematics [electronic resource] |
Author(s): |
Wolfgang Hackbusch |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precisedefinition of stability hol ds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methodsfor ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integralequations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability. |
Contents: | Preface |
Introduction | |
Stability of Finite Algorithms | |
Quadrature | |
Interpolation | |
Ordinary Differential Equations | |
Instationary Partial Difference Equations | |
Stability for Discretisations of Elliptic Problems | |
Stability for Discretisations of Integral Equations | |
Index | |
ISBN: | 9783642393860 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Series in Computational Mathematics, 0179-3632 : v45 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Integral equations , Differential equations, partial , Numerical analysis |
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Call number: | SPRINGER-2014-9783319077284:ONLINE Show nearby items on shelf |
Title: | The Influence of Demographic Stochasticity on Population Dynamics [electronic resource] : A Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns |
Author(s): |
Tommaso Biancalani |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The dynamics of population systems cannot be understood within the framework of ordinary differential equations, which assume that the number of interacting agents is infinite. With recent advances in ecology, biochemistry andgenetics it is becoming increasingly clear that real systems are in fact subject to a great deal of noise. Relevant examples include social insects competing for resources, molecules undergoing chemical reactions in a cell and a poolof genomes subject to evolution.When the popul ation size is small, novel macroscopic phenomena can arise, which can be analyzed using the theory of stochastic processes. This thesis is centered on two unsolved problems in populationdynamics: the symmetry breaking observed in foraging populations, and the robustness of spatial patterns. We argue that these problems can be resolved with the help of two novel concepts: noise-induced bistable states and stochasticpatterns |
ISBN: | 9783319077284 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Ecology , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319068206:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems with Applications using MATLAB [electronic resource] |
Author(s): |
Stephen Lynch |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applicationsand simulation utilizi ng MATLAB, Simulink, the Image Processing Toolbox, and the Symbolic Math Toolbox, including MuPAD. Features new to the second edition include sections on series solutions ofordinary differential equations, perturbation methods, normal forms, Grbner bas es, and chaos synchronization chapters on image processing and binary oscillator computing hundreds of newillustrations, examples, and exercises with solutions and over eighty up-to-date MATLAB program files and Simulink model files available online. T hese files were voted MATLAB Central Pick of the Week in July2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It w ill appeal to advanced undergraduateand graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and phy sics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamicalsystems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown thatthis method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend Dynamical Syst ems with App |
Contents: | Preface |
A Tutorial Introduction to MATLAB | |
Linear Discrete Dynamical Systems | |
Nonlinear Discrete Dynamical Systems | |
Complex Iterative Maps | |
Electromagnetic Waves and Optical Resonators | |
Fractals and Multifractals | |
The Image Processing Toolbox | |
Differential Equations | |
Planar Systems | |
Interacting Species | |
Limit Cycles | |
Hamiltonian Systems, Lyapunov Functions, and Stability | |
Bifurcation Theory | |
Three | |
Dimensional Autonomous Systems and Chaos | |
Poincar Maps and Nonautonomous Systems in the Plane | |
Local and Global Bifurcations | |
The Second Part of Hilbert's Sixte | |
ISBN: | 9783319068206 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Engineering mathematics |
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Call number: | SPRINGER-2014-9783319043258:ONLINE Show nearby items on shelf |
Title: | Scientific Computing - An Introduction using Maple and MATLAB [electronic resource] |
Author(s): |
Walter Gander Martin J Gander Felix Kwok |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical andsymbolic/algebraic computations and vi sualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of manyscientific codes we explain both the theory behind these algori thms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple Maple isoften used to derive numerical algorithms, whereas Matlab is used to implement them. The t heory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples andproblems to help readers understand the material hands-on |
Contents: | Why Study Scientific Computing? |
Finite Precision Arithmetic | |
Linear Systems of Equations | |
Interpolation | |
Nonlinear Equations | |
Least Squares Problems | |
Eigenvalue Problems | |
Differentiation | |
Quadrature | |
Numerical Ordinary Differential Equations | |
Iterative Methods for Linear Systems | |
Optimization | |
Bibliography | |
Index | |
ISBN: | 9783319043258 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Texts in Computational Science and Engineering, 1611-0994 : v11 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Algorithms , Computer science , Computer software , Numerical analysis |
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Call number: | SPRINGER-2014-9783319029498:ONLINE Show nearby items on shelf |
Title: | Mathematical Models and Numerical Simulation in Electromagnetism [electronic resource] |
Author(s): |
Alfredo Bermdez Dolores Gmez Pilar Salgado |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations thatshould be solved in ord er to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electricengineering applications, going from the genera l to the specific, namely, from the full Maxwells equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standardexercises related to analytical calculus, the book includes some others orie nted to real-life applications solved with MaxFEM free simulation software |
Contents: | 1 The harmonic oscillator |
2 The Series RLC Circuit | |
3 Linear electrical circuits | |
4 Maxwells equations in free space | |
5 Some solutions of Maxwells equations in free space | |
6 Maxwells equations in material regions | |
7 Electrostatics | |
8 Direct current | |
9 Magnetostatics | |
10 The eddy currents model | |
11 An introduction to nonlinear magnetics. Hysteresis | |
12 Electrostatics with MaxFEM | |
13 Direct current with MaxFEM | |
14 Magnetostatics with MaxFEM | |
15 Eddy currents with MaxFEM | |
16 RLC circuits with MaxFEM | |
A Elements of graph theory | |
B Vector Calculus | |
C Fu | |
ISBN: | 9783319029498 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT, 2038-5714 : v74 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science Mathematics , Magnetism , Computer engineering |
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Call number: | SPRINGER-2014-9783319024356:ONLINE Show nearby items on shelf |
Title: | Basic Concepts in Computational Physics [electronic resource] |
Author(s): |
Benjamin A. Stickler Ewald Schachinger |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | With the development of ever more powerful computers a new branch of physics and engineering evolved over the last few decades: Computer Simulation or Computational Physics. It serves two main purposes: - Solution of complexmathematical problems such as, differential equations, minimization/optimization, or high-dimensional sums/integrals. - Direct simulation of physical processes, as for instance, molecular dynamics or Monte-Carlo simulation ofphysical/chemical/technical processes. Consequently, the book is divided into two main parts: Deterministic methods and stochastic methods. Based on concrete problems, the first part discusses numerical differentiation and integration,and the treatment of ordinary differential equations. This is augmented by n otes on the numerics of partial differential equations. The second part discusses the generation of random numbers, summarizes the basics of stochastics whichis then followed by the introduction of various Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. All this is again augmented by numerous applications from physics. The final two chapters on Data Analysisand Stochastic Optimization share the two main topics as a common denominator. The book offers a number of appendices to provide the reader with more detailed information on various topics discussed in the main part. Nevertheless, thereader should be familiar with the most important concepts of statistics and probability theory albeit two appendices have been dedicated to provide a rudimentary discussion |
Contents: | Some Basic Remarks |
Part I Deterministic Methods: Numerical Differentiation | |
Numerical Integration | |
The KEPLER Problem | |
Ordinary Differential Equations Initial Value Problems | |
The Double Pendulum | |
Molecular Dynamics | |
Numerics of Ordinary Differential Equations | |
Boundary Value Problems | |
The One | |
Dimensional Stationary Heat Equation | |
The One | |
Dimensional Stationary SCHRDINGER Equation | |
Numerics of Partial Differential Equations | |
Part II Stochastic Methods | |
Pseudo Random Number Generators | |
Random Sampling Methods | |
A Brief Introduction to Monte | |
Carlo Methods | |
The | |
ISBN: | 9783319024356 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Computer science Mathematics , Engineering mathematics |
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Call number: | SPRINGER-2014-9783319021294:ONLINE Show nearby items on shelf |
Title: | A Textbook on Ordinary Differential Equations [electronic resource] |
Author(s): |
Shair Ahmad Antonio Ambrosetti |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises the reader will also find a set of solutions of selected exercises. The book contains many interestingexamples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and itsapplications. The work is mainly addressed to stud ents of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments,such as Laplace transform Stability theory and existence of solutions to Bo undary Value problems. The authors are preparing a complete solutions manual, containing solutions to all the exercises published in the book. The manual willbe available Summer 2014. Instructors who wish to adopt the book may request the manual by writin g directly to one of the authors |
Contents: | 1 First order linear differential equations |
2 Theory of first order differential equations | |
3 First order nonlinear differential equations | |
4 Existence and uniqueness for systems and higher order equations | |
5 Second Order Equations | |
6 Higher Order Linear Equations | |
7 Systems of First Order Equations | |
8 Qualitative analysis of 22 systems and nonlinear second order equations | |
9 Sturm Liouville eigenvalue theory | |
10 Solutions by infinite series and Bessel functions | |
11 Laplace transform | |
12 Stability Theory | |
13 Boundary Value problems | |
Appendix A. Numerical methods | |
ISBN: | 9783319021294 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT, 2038-5714 : v73 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Differential Equations , Numerical analysis |
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Call number: | SPRINGER-2014-9783319020990:ONLINE Show nearby items on shelf |
Title: | Introduction to Partial Differential Equations [electronic resource] |
Author(s): |
Peter J Olver |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, andelsewhere. The exposition car efully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, andinclude straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material thatmotivates the student to delve further into the subject. No previous experien ce with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- andmulti-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to formthe core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximu m Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems,and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes ar e an important component of any introductory course, and the text covers the twomost basic approaches: finite differences and finite elements. Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests a re centered on the development of symmetry-based methodsfor differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research |
Contents: | What are Partial Differential Equations? |
Linear and Nonlinear Waves | |
Fourier Series | |
Separation of Variables | |
Finite Differences | |
Generalized Functions and Greens Functions | |
Complex Analysis and Conformal Mapping | |
Fourier Transforms | |
Linear and Nonlinear Evolution Equations | |
A General Framework forLinear Partial Differential Equations | |
FiniteElements and Weak Solutions | |
Dynamics of Planar Media | |
Partial Differential Equations in Space . | |
ISBN: | 9783319020990 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Texts in Mathematics, 0172-6056 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Differential equations, partial |
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Call number: | SPRINGER-2014-9783319020907:ONLINE Show nearby items on shelf |
Title: | Reduced Order Methods for Modeling and Computational Reduction [electronic resource] |
Author(s): |
Alfio Quarteroni Gianluigi Rozza |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasison real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications inengineering data assimilation, geometry registr ation, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics real-time visualization of physics-based simulations incomputer science the treatment of high-dimensional problems in state s pace, physical space, or parameter space the interactions between different model reduction and dimensionality reduction approaches the development of generalerror estimation frameworks which take into account both model and discretization effects. This b ook is primarily addressed to computational scientists interested in computational reduction techniques for large scale differentialproblems |
Contents: | 1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems |
2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced | |
Basis and the Loewner Framework | |
3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations | |
4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System | |
5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization | |
6 P. Benner, L. Feng: | |
ISBN: | 9783319020907 |
Series: | eBooks |
Series: | SpringerLink |
Series: | MS&A - Modeling, Simulation and Applications, 2037-5255 : v9 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Electronic data processing , Computer science Mathematics , Engineering mathematics , Materials |
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Call number: | SPRINGER-2014-9783034806220:ONLINE Show nearby items on shelf |
Title: | Real Quaternionic Calculus Handbook [electronic resource] |
Author(s): |
Joo Pedro Morais Svetlin Georgiev Wolfgang Sprig |
Date: | 2014 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, suchas complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysishas become a well established branch in ma thematics and has been greatly successful in many different directions. This book is based onconcrete examples and exercises rather than general theorems, thus making it suitable for anintroductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises atthe end of each chapter and its straightforward writing style the book addresses readers w ho have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis,ordinary differential equations, partial differential equations, and theory of distributions |
Contents: | 1 An introduction to quaternions |
2 Quaternions and spatial rotation | |
3 Quaternion sequences | |
4 Quaternion series and infinite products | |
5 Exponents and logarithms | |
6 Trigonometric functions | |
7 Hyperbolic functions | |
8 Inverse hyperbolic and trigonometric functions | |
9 Quaternion matrices | |
10 Monomials, polynomials and binomials | |
11 Solutions | |
Bibliography | |
Index | |
ISBN: | 9783034806220 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory , Algebra , Functions of complex variables , Combinatorics , Geometry |
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Call number: | SPRINGER-2014-9781461495062:ONLINE Show nearby items on shelf |
Title: | Greens Functions in the Theory of Ordinary Differential Equations [electronic resource] |
Author(s): |
Alberto Cabada |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides a complete and exhaustive study of the Greens functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methodsof lower and upper soluti ons are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. Thebook will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions |
Contents: | 1. Green's Functions in the Theory of Ordinary Differential Equations |
Appendix A. A Green's Function Mathematica Package | |
Appendix B. Expressions of Some Particular Green's Functions | |
ISBN: | 9781461495062 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Differential Equations , Differential equations, partial |
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Call number: | SPRINGER-2014-9781461493235:ONLINE Show nearby items on shelf |
Title: | Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems [electronic resource] |
Author(s): |
Dumitru Motreanu Viorica Venera Motreanu Nikolaos Papageorgiou |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods fromnonlinear analysis, varia tional principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinaryand partial differential equations. Recent res ults on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum andcomparison principles for p-Laplacian type operators, and new developmen ts on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and anextensive bibliography and a remarks section at the end of each chapter highlight the text. Thi s work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as auseful tool for all those interested in the topics presented |
Contents: | Preface |
Introduction | |
Sobolev Spaces | |
Nonlinear Operators | |
Nonsmooth Analysis | |
Degree Theory | |
Variational Principles and Critical Point Theory | |
Morse Theory | |
Bifurcation Theory | |
Regularity Theorems and Maximum Principles | |
Spectrum of Differential Operators | |
Ordinary Differential Equations | |
Nonlinear Elliptic Equations with Dirichlet Boundary Conditions | |
Nonlinear Elliptic Equations with Neumann Boundary Conditions | |
List of Symbols | |
References | |
Index | |
ISBN: | 9781461493235 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis , Operator theory , Differential Equations , Differential equations, partial , Mathematical optimization |
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Call number: | SPRINGER-2014-9781461488934:ONLINE Show nearby items on shelf |
Title: | Topological Methods in the Study of Boundary Value Problems [electronic resource] |
Author(s): |
Pablo Amster |
Date: | 2014 |
Publisher: | Boston, MA : Springer US : Imprint: Springer |
Size: | 1 online resource |
Note: | This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications,chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable tonon-specialists. The main topics in the study of bounda ry value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrichtheir tools for solving nonlinear problems. In comparison with other texts i n the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties ofthis interesting branch of mathematics. Exercises and examples are included throughout the book, pro viding motivation for the reader |
Contents: | Introduction |
Shooting type methods | |
The Banach Fixed Point Theorem | |
Schauders Theorem and applications | |
Topological degree: an introduction | |
Applications | |
Basic facts on metric and normed spaces | |
Brief review of ODEs | |
Hints and Solutions to Selected Exercises | |
ISBN: | 9781461488934 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Differential Equations , Differential equations, partial |
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Call number: | SPRINGER-2014-9781461488668:ONLINE Show nearby items on shelf |
Title: | Waves in Neural Media [electronic resource] : From Single Neurons to Neural Fields |
Author(s): |
Paul C Bressloff |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Waves in Neural Media: From Single Cells to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The workprovides a pedagogic al account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weaklynonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation ofaction potentials has inspired new mathematics, particularly with regard tothe PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interestingmathematical questions with regard tothe solution of nonlocal integro-differential equat ions. Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlineardynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate cours e on ordinary differential equations and partial differential equations, making this an accessible and unique contributionto the field of mathematical biology. |
Contents: | Preface |
Part I Neurons | |
Single Neuron Modeling | |
Traveling Waves in One | |
Dimensional Excitable Media | |
Wave Propagation Along Spiny Dendrites | |
Calcium Waves and Sparks | |
Part II Networks | |
Waves in Synaptically | |
Coupled Spiking Networks | |
Population Models and Neural Fields | |
Waves in Excitable Neural Fields | |
Neural Field Model of Binocular Rivalry Waves | |
Part III Development and Disease | |
Waves in the Developing and the Diseased Brain | |
Index | |
ISBN: | 9781461488668 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes on Mathematical Modelling in the Life Sciences, 2193-4789 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Neurosciences , Differential Equations , Physiology Mathematics , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9781461471325:ONLINE Show nearby items on shelf |
Title: | Walter Gautschi, Volume 3 [electronic resource] : Selected Works with Commentaries |
Author(s): |
Claude Brezinski Ahmed Sameh |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He isworld renowned for his pi oneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi:Selected Works with Commentaries, is a compilation of G autschis most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemoratingWalters prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical ConditioningSpecial Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other QuadraturesGauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and B iography Miscellanea Works of Werner Gautschi |
Contents: | Part I Commentaries |
Linear recurrence relations | |
Ordinary differential equations | |
Computer algorithms and software packages | |
History and biography | |
Miscellanea | |
Part II Reprints | |
Linear difference equations | |
Ordinary differential equations | |
Computer algorithms and software packages | |
History and biography | |
Miscellanea | |
Part III Werner Gautschi | |
Publications | |
Obituaries | |
Recording | |
ISBN: | 9781461471325 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Contemporary Mathematicians |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Differential Equations , Numerical analysis |
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Call number: | SPRINGER-2014-9781461470496:ONLINE Show nearby items on shelf |
Title: | Walter Gautschi, Volume 2 [electronic resource] : Selected Works with Commentaries |
Author(s): |
Claude Brezinski Ahmed Sameh |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He isworld renowned for his pi oneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi:Selected Works with Commentaries, is a compilation of G autschis most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemoratingWalters prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical ConditioningSpecial Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other QuadraturesGauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and B iography Miscellanea Works of Werner Gautschi |
Contents: | Part I Commentaries |
Orthogonal polynomials on the real line | |
Polynomials orthogonal on the semicircle | |
Chebyshev quadrature | |
Kronrod and other quadratures | |
Gauss type quadrature | |
Part II Reprints | |
Orthogonal polynomials on the real line | |
Polynomials orthogonal on the semicircle | |
Chebyshev quadrature | |
Kronrod and other quadratures | |
ISBN: | 9781461470496 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Contemporary Mathematicians |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Differential Equations , Numerical analysis |
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Call number: | SPRINGER-2014-9781461470342:ONLINE Show nearby items on shelf |
Title: | Walter Gautschi, Volume 1 [electronic resource] : Selected Works with Commentaries |
Author(s): |
Claude Brezinski Ahmed Sameh |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He isworld renowned for his pi oneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi:Selected Works with Commentaries, is a compilation of G autschis most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemoratingWalters prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical ConditioningSpecial Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other QuadraturesGauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and B iography Miscellanea Works of Werner Gautschi |
Contents: | Preface |
Part I Walter Gautschi | |
Biography of Walter Gautschi | |
A brief summary of my scientific work and highlights of my career | |
Publications | |
Part II Commentaries | |
Numerical conditioning | |
Special functions | |
Interpolation and approximation | |
Part III Reprints | |
Numerical conditioning | |
Special functions | |
Interpolation and approximation | |
ISBN: | 9781461470342 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Contemporary Mathematicians |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Differential Equations , Numerical analysis |
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Call number: | SPRINGER-2014-9781447163985:ONLINE Show nearby items on shelf |
Title: | Ordinary Differential Equations [electronic resource] : Analysis, Qualitative Theory and Control |
Author(s): |
Hartmut Logemann Eugene P Ryan |
Date: | 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in the current textbookliterature. The followin g topics are particularly emphasised: existence, uniqueness and continuation of solutions, continuous dependence on initial data, flows, qualitative behaviour of solutions, limit sets, stability theory, invariance principles, introductory control t heory, feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability ofnonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-st ate stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable forfinal year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathema tically oriented engineering and science |
Contents: | Introduction |
Linear differential equations | |
Introduction to linear control theory | |
Nonlinear differential equations | |
Stability and asymptotic behaviour | |
Stability of feedback systems and stabilization | |
ISBN: | 9781447163985 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Systems theory , Vibration |
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Call number: | SPRINGER-2014-9781447163954:ONLINE Show nearby items on shelf |
Title: | An Introduction to Laplace Transforms and Fourier Series [electronic resource] |
Author(s): |
Phil Dyke |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Laplace transforms continue to be a very important tool for the engineer, physicist and applied mathematician. They are also now useful to financial, economic and biological modellers as these disciplines become more quantitative.Any problem that has underlying linearity and with solution based on initial values can be expressed as an appropriate differential equation and hence be solved using Laplace transforms. In this book, there is a strong emphasis onapplication with the necessary mathematical g rounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Onlyknowledge of elementary trigonometry and calculus are required as prereq uisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics ormathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems |
Contents: | The Laplace Transform |
Further Properties of the Laplace Transform | |
Convolution and the Solution of Ordinary Differential Equations | |
Fourier Series | |
Partial Differential Equations | |
Fourier Transforms | |
Wavelets and Signal Processing | |
Complex Variables and Laplace Transforms | |
ISBN: | 9781447163954 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Functions of complex variables , Integral Transforms , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2013-9789462390218:ONLINE Show nearby items on shelf |
Title: | Ordinary Differential Equations and Dynamical Systems [electronic resource] |
Author(s): |
Thomas C Sideris |
Date: | 2013 |
Publisher: | Paris : Atlantis Press : Imprint: Atlantis Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis andlinear algebra. The pres entation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basictheory: linear systems, existence and uniquen ess of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigmfor evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and theexistence of transverse homoclinic points and their link to chaotic dynamics. A common t hread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as thebridge between the two halves of the book |
Note: | Springer eBooks |
Contents: | Introduction |
Linear Systems | |
Existence Theory | |
Nonautomous Linear Systems | |
Results from Functional Analysis | |
Dependence on Initial Conditions and Parameters | |
Linearization and Invariant Manifolds | |
Periodic Solutions | |
Center Manifolds and Bifurcation Theory | |
The Birkhoff Smale Homoclinic Theorem | |
Appendix: Results from Real Analysis | |
ISBN: | 9789462390218 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Atlantis Studies in Differential Equations, 2214-6253 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations |
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Location: | ONLINE |
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