Fermilab Fermilab Core Computing Division

Library Home |  Ask a Librarian library@fnal.gov |  Book Catalog |  Library Journals |  Requests |  SPIRES |  Fermilab Documents |

Fermilab Library
SPIRES-BOOKS: FIND KEYWORD APPROXIMATIONS AND EXPANSIONS *END*INIT* use /tmp/qspiwww.webspi1/26219.30 QRY 131.225.70.96 . find keyword approximations and expansions ( in books using www Cover
Image
Call number:SPRINGER-2016-9789811009136:ONLINE Show nearby items on shelf
Title:Current Topics in Summability Theory and Applications
Author(s):
Date:2016
Size:1 online resource (431 p.)
Note:10.1007/978-981-10-0913-6
Contents:Chapter 1. An Introduction to Summability Methods -- Chapter 2. Some Topics in Summability Theory -- Chapter 3. Summability and Convergence using Ideals -- Chapter 4. Convergence Acceleration and Improvement by Regular Matrices -- Chapter 5. On Sum mability, Multipliability and Integrability -- Chapter 6. Multi-dimensional Summability Theory and Continuous Wavelet Transform -- Chapter 7. Absolute Riesz and Related Summability Methods -- Chapter 8. Some Applications of Summability Theory -- Chapter 9 . Degree of Approximation of Functions through Summability Methods
ISBN:9789811009136
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Functional Analysis , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319340722:ONLINE Show nearby items on shelf
Title:Approximation Methods in Probability Theory
Author(s): Vydas Čekanavičius
Date:2016
Size:1 online resource (274 p.)
Note:10.1007/978-3-319-34072-2
Contents:Definitions and preliminary facts -- The method of convolutions -- Local lattice estimates -- Uniform lattice estimates -- Total variation of lattice measures -- Non-uniform estimates for lattice measures -- Discrete non-lattice approximations -- A bsolutely continuous approximations -- The Esseen type estimates -- Lower estimates -- The Stein method -- The triangle function method -- Heinrich's method for m-dependent variables -- Other methods -- Solutions to selected problems -- Bibliography -- In dex
ISBN:9783319340722
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319335728:ONLINE Show nearby items on shelf
Title:Open Problems in the Geometry and Analysis of Banach Spaces
Author(s): Antonio J Guirao
Date:2016
Size:1 online resource (169 p.)
Note:10.1007/978-3-319-33572-8
Contents:Preface -- Basic linear structure -- Basic linear geometry -- Biorthogonal systems -- Smoothness, smooth approximation -- Nonlinear geometry -- Some more nonseparable problems -- Some applications -- Bibliography -- List of concepts and problems -- Symbol index -- Subject index.
ISBN:9783319335728
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Measure theory , Convex geometry , Discrete geometry , Algebraic topology , Mathematics , Functional Analysis , Approximations and Expansions , Measure and Integration , Convex and Discrete Geometry , Algebraic Topology
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319323770:ONLINE Show nearby items on shelf
Title:Pi: The Next Generation A Sourcebook on the Recent History of Pi and Its Computation
Author(s): David H Bailey
Date:2016
Size:1 online resource (507 p.)
Note:10.1007/978-3-319-32377-0
Contents:Foreword -- Preface -- Introduction -- Computation of pi using arithmetic-geometric mean -- Fast multiple-precision evaluation of elementary functions -- The arithmetic-geometric mean of Gauss -- The arithmetic-geometric mean and fast computation of elementary functions -- A simplified version of the fast algorithms of Brent and Salamin -- Is pi normal? -- The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm -- Gauss, Landen, Ramanujan, the arithmetic-g eometric mean, ellipses, pi, and the ladies diary -- Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation.-Ramanujan and pi -- 11. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi -- Pi, Euler numbers, and asymptotic expansions -- A spigot algorithm for the digits of pi -- On the rapid computation of various polylogarithmic constants -- Similarities in irrationality proofs for pi, ln 2, ζ(2),
and ζ(3) -- Unbounded spigot algorithms for the digits of pi -- Mathematics by experiment: Plausible reasoning in the 21st century -- Approximations to pi derived from integrals with nonnegative integrands -- Ramanujan's series for 1/π: A survey - - The computation of previously inaccessible digits of π2 and Catalan's constant -- Walking on real numbers -- Birth, growth and computation of pi to ten trillion digits -- Pi day is upon us again and we still do not know if pi is normal -- The Life of p i -- I prefer pi: A brief mathematical history and anthology of articles in the American Mathematical Monthly -- Bibliography -- Index
ISBN:9783319323770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer mathematics , History , Number theory , Mathematics , Computational Mathematics and Numerical Analysis , Number Theory , History of Mathematical Sciences
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319319483:ONLINE Show nearby items on shelf
Title:Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications
Author(s): Afif Ben Amar
Date:2016
Size:1 online resource (194 p.)
Note:10.1007/978-3-319-31948-3
Contents:Basic Concepts -- Nonlinear Eigenvalue Problems in Dunford-Pettis Spaces -- Fixed Point Theory in Locally Convex Spaces -- Fixed Points for Maps with Weakly Sequentially-Closed -- Fixed Point Theory in Banach Algebras -- Fixed Point Theory for (ws) -Compact Operators -- Approximate Fixed Point Theorems in Banach Spaces.
ISBN:9783319319483
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Mathematics , Functional Analysis , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf
Title:Computational Analysis AMAT, Ankara, May 2015 Selected Contributions
Author(s):
Date:2016
Size:1 online resource (396 p.)
Note:10.1007/978-3-319-28443-9
Contents:Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).
ISBN:9783319284439
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 155
Keywords: Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319284002:ONLINE Show nearby items on shelf
Title:Introduction to Calculus and Classical Analysis
Author(s): Omar Hijab
Date:2016
Edition:4th ed. 2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-28400-2
Contents:Preface -- A Note to the Reader -- 1. The Set of Real Numbers -- 2. Continuity -- 3. Differentiation.-4. Integration -- 5. Applications -- 6. Generalizations -- A. Solutions -- References -- Index
ISBN:9783319284002
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Sequences (Mathematics) , Special functions , Combinatorics , Mathematics , Approximations and Expansions , Sequences, Series, Summability , Special Functions , Combinatorics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9781447168119:ONLINE Show nearby items on shelf
Title:Lectures on Functional Analysis and the Lebesgue Integral
Author(s): Vilmos Komornik
Date:2016
Size:1 online resource (403 p.)
Note:10.1007/978-1-4471-6811-9
Contents:Some papers of general interest -- Topological prerequisites -- Part 1 Functional analysis -- Hilbert spaces -- Banach spaces -- Locally convex spaces -- Part 2 The Lebesgue integral -- Monotone functions -- The Lebesgue integral in R -- Generalize d Newton-Leibniz formula -- Integrals on measure spaces -- Part 3 Function spaces -- Spaces of continuous functions -- Spaces of integrable functions -- Almost everywhere convergence -- Hints and solutions to some exercises -- Bibliography -- Teaching rem arks -- Subject index -- Name index
ISBN:9781447168119
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Measure theory , Mathematics , Functional Analysis , Measure and Integration , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461454779:ONLINE Show nearby items on shelf
Title:Introduction to Perturbation Methods [electronic resource]
Author(s): Mark H Holmes
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This introductory graduate text is based on a graduate course the author has taught repeatedly over the last twenty or so years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with anintroductory development involving ordinary differential equations, and goes on to cover more advanced topics such as systems and partial differential equations. Moreover, it also contains material arising from current researchinterest, including homogenisation, slender body the ory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of applicationareas. For this new edition every section has been updated throughout, many onl y in minor ways, while others have been completely rewritten. New material has also been added. This includes approximations for weakly coupledoscillators, analysis of problems that involve transcendentally small terms, an expanded discussion of Kummer fu nctions, and metastability. Two appendices have been added, one on solving difference equations and another on delayequations. Additional exercises have been included throughout. Review of first edition: Those familiar with earlier expositions of singular perturbations for ordinary and partial differential equations will find many traditionalgems freshly presented, as well as many new topics. Much of the excitement lies in the examples and the more than 250 exercises, which are guaranteed to provoke and c hallenge readers and learners with various backgrounds and levels ofexpertise. (SIAM Review, 1996 )
Note:Springer eBooks
Contents:Preface
Preface to Second Edition
Introduction to Asymptotic Approximations
Matched Asymptotic Expansions
Multiple Scales
The WKB and Related Methods
The Method of Homogenization
Introduction to Bifurcation and Stability
References
Index
ISBN:9781461454779
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v20
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Differential equations, partial
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781848823679:ONLINE Show nearby items on shelf
Title:Falling Liquid Films [electronic resource]
Author(s): S Kalliadasis
C Ruyer-Quil
B Scheid
M. G Velarde
Date:2012
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down aplanar inclined substrate . This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It willalso be of use for a more general understanding o f specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flowsthrough a hierarchy of modeling approaches, including equations of the b oundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experimentis illustrated, and, as a further bridge between the two, the development of order-of-magnit ude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal toadvanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mec hanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on bothapplied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes i nvolving isothermal or heated films. This monograph is largely self-contained and nobackground on interfacial fluid mechanics is assumed
Note:Springer eBooks
Contents:Introduction
Flow and heat transfer
Primary instability
Boundary layer approximation
Methodologies for low Re flows
Methodologies for moderate Re flows
Isothermal case: 2D flow
Isothermal case: 3D flow
Interaction of 3D solitary waves
Heated films
Reactive films
Open questions and suggestions for further research
ISBN:9781848823679
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v176
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Visualization , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781461434337:ONLINE Show nearby items on shelf
Title:Topics in Numerical Methods for Finance [electronic resource]
Author(s): Mark Cummins
Finbarr Murphy
John J.H Miller
Date:2012
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Presenting state-of-the-art methods in the area, the book begins with a presentation of weak discrete time approximations of jump-diffusion stochastic differential equations for derivatives pricing and risk measurement. Using amoving least squares re construction, a numerical approach is then developed that allows for the construction of arbitrage-free surfaces. Free boundary problems are considered next, with particular focus on stochastic impulse controlproblems that arise when the cost of control i ncludes a fixed cost, common in financial applications. The text proceeds with the development of a fear index based on equity option surfaces, allowing for the measurement of overall fearlevels in the market. The problem of American option pricing is con sidered next, applying simulation methods combined with regression techniques and discussing convergence properties. Changing focus to integral transform methods, avariety of option pricing problems are considered. The COS method is practically applied fo r the pricing of options under uncertain volatility, a method developed by the authors that relies on the dynamic programming principle andFourier cosine series expansions. Efficient approximation methods are next developed for the application of the fast Fourier transform for option pricing under multifactor affine models with stochastic volatility and jumps. Followingthis, fast and accurate pricing techniques are showcased for the pricing of credit derivative contracts with discrete monitoring based on the Wiener-Hopf factorisation. With an energy theme, a recombining pentanomial lattice isdeveloped for the pricing of gas swing contracts under regime switching dynamics. The book concludes with a linear and nonlinear review of the arbitrage-free parity t heory for the CDS and bond markets
Note:Springer eBooks
Contents:On Weak Predictor
Corrector Schemes for Jump
Diffusion Processes in Finance
Moving Least Squares for Arbitrage
Free Price and Volatility Surfaces
Solving Impulse Control Problems with Control Delays
FIX: The Fear Index ? Measuring Market Fear
American Option Pricing using Simulation and Regression: Numerical Convergence Results
The COS Method for Pricing Options under Uncertain Volatility
Fast Fourier Transform Option Pricing: Efficient Approximation Methods under Multi
Factor Stochastic Volatility and Jumps
Pricing Credit Derivatives in a Wiener
Hopf Framework
The Eval
ISBN:9781461434337
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v19
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Computer science Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9780857290731:ONLINE Show nearby items on shelf
Title:Geodesic and Horocyclic Trajectories [electronic resource]
Author(s): Franoise DalBo
Date:2011
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:During the past thirty years, strong relationships have interwoven the fields of dynamical systems, linear algebra and number theory. This rapport between different areas of mathematics has enabled the resolution of someimportant conjectures and has in fact given birth to new ones. This book sheds light on these relationships and their applications in an elementary setting, by showing that the study of curves on a surface can lead to orbits of alinear group or even to continued fraction expansions of real numbers. Geodesic and Horocyclic Trajectories presents an introduction to the topological dynamics of two classical flows associated with surfaces of curvature 1, namelythe geodesic and horocycle flows. Written primarily with the idea of highlightin g, in a relatively elementary framework, the existence of gateways between some mathematical fields, and the advantages of using them, historical aspectsof this field are not addressed and most of the references are reserved until the end of each chapter in the Comments section. Topics within the text cover geometry, and examples, of Fuchsian groups topological dynamics of thegeodesic flow Schottky groups the Lorentzian point of view and Trajectories and Diophantine approximations. This book will appeal t o those with a basic knowledge of differential geometry including graduate students and experts with ageneral interest in the area Franoise DalBo is a professor of mathematics at the University of Rennes. Her research studies topological and metric dynami cal systems in negative curvature and their applications especially to theareas of number theory and linear actions
Note:Springer eBooks
Contents:Dynamics of Fuchsian groups
Examples of Fuchsian Groups
Topological dynamics of the geodesic flow
Schottky groups
Topological dynamics
The Lorentzian point of view
Trajectories and Diophantine approximations
ISBN:9780857290731
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Global differential geometry , Number theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2010-9789048135202:ONLINE Show nearby items on shelf
Title:Spectral Methods for Uncertainty Quantification [electronic resource] : With Applications to Computational Fluid Dynamics
Author(s): O. P Le Matre
Omar M Knio
Date:2010
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents applications of spectral methods to problems of uncertainty propagation and quantification in model-based computations, focusing on the computational and algorithmic features of these methods most useful indealing with models based on partial differential equations, in particular models arising in simulations of fluid flows. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematicalfoundations associated with probability and measur e spaces. A brief discussion is provided of only those theoretical aspects needed to set the stage for subsequent applications. These are demonstrated through detailed treatments ofelementary problems, as well as in more elaborate examples involving vorte x-dominated flows and compressible flows at low Mach numbers. Some recent developments are also outlined in the book, including iterative techniques (such asstochastic multigrids and Newton schemes), intrusive and non-intrusive formalisms, spectral repres entations using mixed and discontinuous bases, multi-resolution approximations, and adaptive techniques. Readers are assumed to befamiliar with elementary methods for the numerical solution of time-dependent, partial differential equations prior experienc e with spectral approximation is helpful but not essential
Note:Springer eBooks
Contents:1 Introduction: Uncertainty Quantication and Propagation
Part I Basic Formulations
2 Spectral Expansions
3 Non
Intrusive Methods
4 Galerkin Methods
5 Example of Applications
Part II Advanced topics
6 Solvers for spectral problems
7 Multi Resolution Analysis schemes
8 Adaptive Methods
9 Open problems and closing remarks
References
A Essential elements of probability theory
B Orthogonal polynomials
C Implementation of product and moment formula
ISBN:9789048135202
Series:e-books
Series:SpringerLink (Online service)
Series:Scientific Computation, 1434-8322
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Computational complexity , Differential equations, partial , Computer science
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2010-9783642136948:ONLINE Show nearby items on shelf
Title:Numerical Solution of Stochastic Differential Equations with Jumps in Finance [electronic resource]
Author(s): Eckhard Platen
Nicola Bruti-Liberati
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In financial and actuarial modeling and other areas of application, stochastic differential equations with jumps have been employed to describe the dynamics of various state variables. The numerical solution of such equations ismore complex than that of those only driven by Wiener processes, described in Kloeden & Platen: Numerical Solution of Stochastic Differential Equations (1992). The present monograph builds on the above-mentioned work and provides anintroduction to stochastic differential equat ions with jumps, in both theory and application, emphasizing the numerical methods needed to solve such equations. It presents many new results on higher-order methods for scenario and MonteCarlo simulation, including implicit, predictor corrector, extrap olation, Markov chain and variance reduction methods, stressing the importance of their numerical stability. Furthermore, it includes chapters on exact simulation,estimation and filtering. Besides serving as a basic text on quantitative methods, it offers ready access to a large number of potential research problems in an area that is widely applicable and rapidly expanding. Finance is chosen asthe area of application because much of the recent research on stochastic numerical methods has been driven by c hallenges in quantitative finance. Moreover, the volume introduces readers to the modern benchmark approach that provides ageneral framework for modeling in finance and insurance beyond the standard risk-neutral approach. It requires undergraduate backgro und in mathematical or quantitative methods, is accessible to a broad readership, including those whoare only seeking numerical recipes, and includes exercises that help the reader develop a deeper understanding of the underlying mathematics
Note:Springer eBooks
Contents:Stochastic Differential Equations with Jumps
Exact Simulation of Solutions of SDEs
Benchmark Approach to Finance and Insurance
Stochastic Expansions
to Scenario Simulation
Regular Strong Taylor Approximations with Jumps
Regular Strong It Approximations
Jump
Adapted Strong Approximations
Estimating Discretely Observed Diffusions
Filtering
Monte Carlo Simulation of SDEs
Regular Weak Taylor Approximations
Jump
Adapted Weak Approximations
Numerical Stability
Martingale Representations and Hedge Ratios
Variance Reduction Techniques
Trees and Markov
ISBN:9783642136948
Series:e-books
Series:SpringerLink (Online service)
Series:Stochastic Modelling and Applied Probability, 0172-4568 : v64
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory) , Economics Statistics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2009-9780387488073:ONLINE Show nearby items on shelf
Title:An Atlas of Functions [electronic resource] with Equator, the Atlas Function Calculator
Author(s): Keit Oldham
Jan Myland
Jerome Spanier
Date:2009
Publisher:New York, NY : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This second edition of An Atlas of Functions, with Equator, the Atlas Function Calculator, provides comprehensive information on several hundred functions or function families of interest to scientists, engineers andmathematicians who are concerned w ith the quantitative aspects of their field. Beginning with simple integer-valued functions, the book progresses to polynomials, exponential, trigonometric, Bessel, and hypergeometric functions, andmany more. The 65 chapters are arranged roughly in order of increasing complexity, mathematical sophistication being kept to a minimum while stressing utility throughout. In addition to providing definitions and simple properties forevery function, each chapter catalogs more complex interrelationships as well a s the derivatives, integrals, Laplace transforms and other characteristics of the function. Numerous color figures in two- or three- dimensions depict theirshape and qualitative features and flesh out the readers familiarity with the functions. In many in stances, the chapter concludes with a concise exposition on a topic in applied mathematics associated with the particular function orfunction family. Features that make the Atlas an invaluable reference tool, yet simple to use, include: full coverage of t hose functionselementary and specialthat meet everyday needs a standardized chapter format, making iteasy to locate needed information on such aspects as: nomenclature, general behavior, definitions, intrarelationships, expansions, approximations, limits, and response to operations of the calculus extensive cross-referencing andcomprehensive indexing, with useful appendices the inclusion of innovative software--Equator, the Atlas Function Calculator the inclusion of new material dealing with interesting a pplications of many of the function families, buildingupon the favorable responses to similar material in the first edition
Note:Springer eBooks
ISBN:9780387488073
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special , Engineering
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2008-9780387759715:ONLINE Show nearby items on shelf
Title:Asymptotic Theory of Statistics and Probability [electronic resource]
Author(s): Anirban DasGupta
Date:2008
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 an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools. It is written in an extremely lucid style, with an emphasison the conceptual dis cussion of the importance of a problem and the impact and relevance of the theorems. The book has 34 chapters over a wide range of topics, nearly 600 exercises for practice and instruction, and another 300 workedout examples. It also includes a large comp endium of 300 useful inequalities on probability, linear algebra, and analysis that are collected together from numerous sources, as an invaluable reference for researchers in statistics,probability, and mathematics. It can be used as a graduate text, as a versatile research reference, as a source for independent reading on a wide assembly of topics, and as a window to learning the latest developments in contemporarytopics. The book is unique in its detailed coverage of fundamental topics such as central limit theorems in numerous setups, likelihood based methods, goodness of fit, higher order asymptotics, as well as of the most modern topics suchas the bootstrap, dependent data, Bayesian asymptotics, nonparametric density estimation, mixture models, and multiple testing and false discovery. It provides extensive bibliographic references on all topics that include very recentpublications. Anirban DasGupta is Professor of Statistics at Purdue University. He has also taught at the Wharton School of the Univ ersity of Pennsylvania, at Cornell University, and at the University of California at San Diego. He hasbeen on the editorial board of the Annals of Statistics since 1998 and has also served on the editorial boards of the Journal of the American Statistica l Association, International Statistical Review, and the Journal of StatisticalPlanning and Inference. He has edited two monographs in the lecture notes monograph series of the Institute of Mathematical
Note:Springer eBooks
Contents:Basic Convergence Concepts and Theorems
Metrics, Information Theory, Convergence, and Poisson Approximations
More General Weak and Strong Laws and the Delta Theorem
Transformations
More General Clts
Moment Convergence and Uniform Integrability
Sample Percentiles and Order Statistics
Sample Extremes
Central Limit theorems for Dependent Sequences
Central Limit Theorem for Markov Chains
Accuracy of Clts
Invariance Principles
Edgeworth Expansions and Cumulants
Saddlepoint Approximations
U
Statistics
Maximum Likelihood Estimates
M Estimates
the Tri
ISBN:9780387759715
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2007-9783540307280:ONLINE Show nearby items on shelf
Title:Spectral Methods [electronic resource] : Evolution to Complex Geometries and Applications to Fluid Dynamics
Author(s): Claudio Canuto
Alfio Quarteroni
M. Yousuff Hussaini
Thomas A Zang
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical andpractical aspects of spectra l methods that was the hallmark of their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then. This second newtreatment, Evolution to Complex Geometries and Appl ications to Fluid Dynamics, provides an extensive overview of the essential algorithmic and theoretical aspects of spectral methods for complex geometries, in addition to detaileddiscussions of spectral algorithms for fluid dynamics in simple and complex geometries. Modern strategies for constructing spectral approximations in complex domains, such as spectral elements, mortar elements, and discontinuousGalerkin methods, as well as patching collocation, are introduced, analyzed, and demonstrated by means of numerous numerical examples. Representative simulations from continuum mechanics are also shown. Efficient domain decompositionpreconditioners (of both Schwarz and Schur type) that are amenable to parallel implementation are surveyed. The discussion of spectral algorithms for fluid dynamics in single domains focuses on proven algorithms for the boundary-layerequations, linear and nonlinear stability analyses, incompressible Navier-Stokes problems, and both inviscid and viscous compressible flows. An ov erview of the modern approach to computing incompressible flows in general geometriesusing high-order, spectral discretizations is also provided. The recent companion book Fundamentals in Single Domains discusses the fundamentals of the approximation of s olutions to ordinary and partial differential equations on singledomains by expansions in smooth, global basis functions. The essential concepts and formulas from this book are included in the current t
Note:Springer eBooks
Contents:Fundamentals of Fluid Dynamics
Single
Domain Algorithms and Applications for Stability Analysis
Single
Domain Algorithms and Applications for Incompressible Flows
Single
Domain Algorithms and Applications for Compressible Flows
Discretization Strategies for Spectral Methods in Complex Domains
Solution Strategies for Spectral Methods in Complex Domains
General Algorithms for Incompressible Navier
Stokes Equations
Spectral Methods Primer
ISBN:9783540307280
Series:e-books
Series:SpringerLink (Online service)
Series:Scientific Computation, 1434-8322
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Mathematical physics , Mechanics , Fluids , Hydraulic engineering
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2006-9783540307266:ONLINE Show nearby items on shelf
Title:Spectral Methods [electronic resource] : Fundamentals in Single Domains
Author(s): Claudio Canuto
M. Youssuff Hussaini
Alfio Quarteroni
Thomas A Zang
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Since the publication of Spectral Methods in Fluid Dynamics, spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. Whileretaining the tight integra tion between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory ofspectral methods that have been made since 1988. The i nitial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains byexpansions in smooth, global basis functions. The first half of the book provid es the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions,and solution of the discretized equations by direct and iterative methods. The second half furnishes a comprehensive discussion of the mathematical theory of spectral methods on single domains, including approximation theory, stabilityand convergence, and illustrative applications of the theory to model boundary-value problems. Both the algorithmic and th eoretical discussions cover spectral methods on tensor-product domains, triangles and tetrahedra. All chaptersare enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solutio n methods is greatly expanded as are the set of numerical examples that illustrate the keyproperties of the various types of spectral approximations and the solution algorithms. A companion book Evolution to Complex Geometries and Applications to Fluid Dy namics contains an extensive survey of the essential algorithmicand theoretical aspects of spectral methods for complex geometries and provides detailed discussions of spectral algorithms for fluid
Note:Springer eBooks
Contents:Polynomial Approximation
Basic Approaches to Constructing Spectral Methods
Algebraic Systems and Solution Techniques
Polynomial Approximation Theory
Theory of Stability and Convergence
Analysis of Model Boundary
Value Problems
Erratum
ISBN:9783540307266
Series:e-books
Series:SpringerLink (Online service)
Series:Scientific Computation, 1434-8322
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer science Mathematics , Mathematical physics , Mechanics , Fluids , Hydraulic engineering
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2006-9780387322278:ONLINE Show nearby items on shelf
Title:Series Approximation Methods in Statistics [electronic resource]
Author(s): John E Kolassa
Date:2006
Edition:Third Edition
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:To follow
Note:Springer eBooks
Contents:Asymptotics in General
. Characteristic Functions and the Berry
Esseen Theorem
Edgeworth Series
Saddlepoint Series for Densities
Saddlepoint Series for Distribution Functions
Multivariate Expansions
Conditional Distribution Approximations
Applications to Likelihood Ratio and Maximum Likelihood Statistics
Other Topics
Computational Aids
ISBN:9780387322278
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Statistics, 0930-0325 : v88
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2005-9781402034190:ONLINE Show nearby items on shelf
Title:Advanced Multivariate Statistics with Matrices [electronic resource]
Author(s): Tnu Kollo
Dietrich Rosen
M Hazewinkel
Date:2005
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents the authors' personal selection of topics in multivariate statistical analysis with emphasis on tools and techniques. Topics included range from definitions of multivariate moments, multivariate distributions,asymptotic distributio ns of commonly used statistics and density approximations to a modern treatment of multivariate linear models. The theory used is based on matrix algebra and linear spaces and applies lattice theory in asystematic way. Many of the results are obtained by utilizing matrix derivatives which in turn are built up from the Kronecker product and vec-operator. The matrix normal, Wishart and elliptical distributions are studied in detail. Inparticular, several moment relations are given. Together with the derivat ives of density functions, formulae are presented for density approximations, generalizing classical Edgeworth expansions. The asymptotic distributions of manycommonly used statistics are also derived. In the final part of the book the Growth Curve model and its various extensions are studied. The book will be of particular interest to researchers but could also be appropriate as a text-bookfor graduate courses on multivariate analysis or matrix algebra
Note:Springer eBooks
Contents:From the contents Preface
Introduction
1. Basic Matrix Theory And Linear
2. Multivariate Distributions
3. Distribution Expansions
4. Multivariate Linear Models
References
Subject Index
ISBN:9781402034190
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Its Applications : v579
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Matrix theory , Mathematics , Mathematical statistics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2004-9783662102251:ONLINE Show nearby items on shelf
Title:Tauberian Theory A Century of Developments
Author(s): Jacob Korevaar
Date:2004
Size:1 online resource (483 p.)
Note:10.1007/978-3-662-10225-1
Contents:I The Hardy—Littlewood Theorems -- II Wiener’s Theory -- III Complex Tauberian Theorems -- IV Karamata’s Heritage: Regular Variation -- V Extensions of the Classical Theory -- VI Borel Summability and General Circle Methods -- VII
Tauberian Remainder Theory -- References
ISBN:9783662102251
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 329
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Fourier analysis , Integral transforms , Operational calculus , Sequences (Mathematics) , Number theory , Mathematics , Analysis , Sequences, Series, Summability , Approximations and Expansions , Fourier Analysis , Integral Transforms, Operational Calculus , Number Theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2004-9783662101766:ONLINE Show nearby items on shelf
Title:Symbolic Asymptotics
Author(s): John R Shackell
Date:2004
Size:1 online resource (243 p.)
Note:10.1007/978-3-662-10176-6
Contents:Zero Equivalence -- Hardy Fields -- Output Data Structures -- Algorithms for Function Towers -- Algebraic Differential Equations -- Inverse Functions -- Implicit Functions -- Star-Product Expansions -- Oscillating Functions --
References
ISBN:9783662101766
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algorithms and Computation in Mathematics: 12
Keywords: Mathematics , Computer science , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Algorithms , Mathematical models , Mathematics , Mathematical Modeling and Industrial Mathematics , Algorithms , Analysis , Symbolic and Algebraic Manipulation , Mathematics of Computing , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2004-9783034879286:ONLINE Show nearby items on shelf
Title:Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
Author(s): Fuensanta Andreu-Vaillo
Date:2004
Size:1 online resource (342 p.)
Note:10.1007/978-3-0348-7928-6
Contents:1 Total Variation Based Image Restoration -- 1.1 Introduction -- 1.2 Equivalence between Constrained and Unconstrained Restoration -- 1.3 The Partial Differential Equation Satisfied by the Minimum of (1.17) -- 1.4 Algorithm and
Numerical Experiments -- 1.5 Review of Numerical Methods -- 2 The Neumann Problem for the Total Variation Flow -- 2.1 Introduction -- 2.2 Strong Solutions in L2(?) -- 2.3 The Semigroup Solution in L1(?) -- 2.4 Existence and Uniqueness
of Weak Solutions -- 2.5 An LN-L? Regularizing Effect -- 2.6 Asymptotic Behaviour of Solutions -- 2.7 Regularity of the Level Lines -- 3 The Total Variation Flow in ?N -- 3.1 Initial Conditions in L2(?N) -- 3.2 The Notion of Entropy
Solution -- 3.3 Uniqueness in Ló(?N) -- 3.4 Existence in Lloc1 -- 3.5 Initial Conditions in L2(?N) -- 3.6 Time Regularity -- 3.7 An LN-L? Regularizing Effect -- 3.8 Measure Initial Conditions -- 4 Asymptotic Behaviour and Qualitative
Properties of Solutions -- 4.1 Radially Symmetric Explicit Solutions -- 4.2 Some Qualitative Properties -- 4.3 Asymptotic Behaviour -- 4.4 Evolution of Sets in ?2: The Connected Case -- 4.5 Evolution of Sets in ?2: The Nonconnected
Case -- 4.6 Some Examples -- 4.7 Explicit Solutions for the Denoising Problem -- 5 The Dirichlet Problem for the Total Variation Flow -- 5.1 Introduction -- 5.2 Definitions and Preliminary Facts -- 5.3 The Main Result -- 5.4 The
Semigroup Solution -- 5.5 Strong Solutions for Data in L2(?) -- 5.6 Existence and Uniqueness for Data in L1(?) -- 5.7 Regularity for Positive Initial Data -- 6 Parabolic Equations Minimizing Linear Growth Functionals: L2-Theory -- 6.1
Introduction -- 6.2 Preliminaries -- 6.3 The Existence and Uniqueness Result -- 6.4 Strong Solution for Data in L2(?)) -- 6.5 Asymptotic Behaviour -- 6.6 Proof of the Approximation Lemma -- 7 Parabolic Equations Minimizing Linear
Growth Functionals: L1-Theory -- 7.1 Introduction -- 7.2 The Main Result -- 7.3 The Semigroup Solution -- 7.4 Existence and Uniqueness for Data in L1(?) -- 7.5 A Remark for Strictly Convex Lagrangians -- 7.6 The Cauchy Problem -- A
Nonlinear Semigroups -- A.1 Introduction -- A.2 Abstract Cauchy Problem -- A.3 Mild Solutions -- A.4 Accretive Operators -- A.5 Existence and Uniqueness Theorem -- A.6 Regularity of Mild Solutions -- A.7 Completely Accretive Operators
-- B Functions of Bounded Variation -- B.2 Approximation by Smooth Functions -- B.3 Traces and Extensions -- B.4 Sets of Finite Perimeter and the Coarea Formula -- B.5 Some Isoperimetric Inequalities -- B.6 The Reduced Boundary -- B.7
Connected Components of Sets of Finite Perimeter -- C Pairings Between Measures and Bounded Functions -- C.1 Trace of the Normal Component of Certain Vector Fields -- Dankwoord/ Acknowledgements
ISBN:9783034879286
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 223
Keywords: Mathematics , Approximation theory , Functional analysis , Partial differential equations , Visualization , Calculus of variations , Mathematics , Partial Differential Equations , Approximations and Expansions , Functional Analysis , Visualization , Calculus of Variations and Optimal Control Optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2004-9781461220589:ONLINE Show nearby items on shelf
Title:Approximation Theory Using Positive Linear Operators
Author(s): Radu Păltănea
Date:2004
Size:1 online resource (202 p.)
Note:10.1007/978-1-4612-2058-9
Contents:1 Introduction -- 1.1 Operators and functionals. Moduli of continuity -- 1.2 Approximation of functions by sequences of positive linear operators -- 2 Estimates with Second Order Moduli -- 2.1 A general approach -- 2.2 Estimates with
moduli ?2? and ?2? -- 2.3 Estimates with modulus ?2d -- 2.4 Estimates with modulus ?2dd -- 2.5 Estimates with Ditzian—Totik modulus -- 3 Absolute Optimal Constants -- 3.1 Introduction -- 3.2 Discrete functionals and the classical
second order modulus ?2 -- 3.3 General functionals and the second order modulus with parameter ?2? -- 4 Estimates for the Bernstein Operators -- 4.1 Various types of estimates -- 4.2 Best constant in the estimate with modulus ?2 -- 4.3
Global smoothness preservation -- 5 Two Classes of Bernstein Type Operators -- 5.1 Generalized Brass type operators -- 5.2 Generalized Durrmeyer type operators -- 6 Approximation Operators for Vector-Valued Functions -- 6.1
Approximation of functions with real argument -- 6.2 Approximation of functions with vector argument -- References
ISBN:9781461220589
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Field theory (Physics) , Approximation theory , Functional analysis , Integral transforms , Operational calculus , Operator theory , Applied mathematics , Engineering mathematics , Mathematics , Approximations and Expansions , Field Theory and Polynomials , Functional Analysis , Integral Transforms, Operational Calculus , Operator Theory , Applications of Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2004-9781402077876:ONLINE Show nearby items on shelf
Title:Multidimensional Minimizing Splines Theory and Applications
Author(s): Rémi Arcangéli
Date:2004
Size:1 online resource (263 p.)
Note:10.1007/b130045
Contents:(m, s)-Splines -- The spaces Xm, s -- Interpolating (m, s)-Splines -- Smoothing (m, s)-Splines -- (m,l,s)-Splines -- Dm-Splines Over a Bounded Domain of ?n -- Dm-Splines Over ? -- Discrete Dm-Splines -- Univariate Dm-Splines --
Applications of Discrete Dm-Splines -- Construction of Explicit Surfaces from Large Data Sets -- Approximation of Faulted Explicit Surfaces -- Fitting an Explicit Surface Along a Set of Curves -- Fitting an Explicit Surface Over an
Open Set -- Approximation of Parametric Surfaces
ISBN:9781402077876
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Earth sciences , Approximation theory , Partial differential equations , Computer mathematics , Mathematics , Approximations and Expansions , Computational Mathematics and Numerical Analysis , Earth Sciences, general , Partial Differential Equations
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2004-9781402028762:ONLINE Show nearby items on shelf
Title:Fourier Analysis and Approximation of Functions
Author(s): Roald M Trigub
Date:2004
Size:1 online resource (586 p.)
Note:10.1007/978-1-4020-2876-2
Contents:1. Representation Theorems -- 1.1 Theorems on representation at a point -- 1.2 Integral operators. Convergence in Lp-norm and almost everywhere -- 1.3 Multidimensional case -- 1.4 Further problems and theorems -- 1.5 Comments to
Chapter 1 -- 2. Fourier Series -- 2.1 Convergence and divergence -- 2.2 Two classical summability methods -- 2.3 Harmonic functions and functions analytic in the disk -- 2.4 Multidimensional case -- 2.5 Further problems and theorems --
2.6 Comments to Chapter 2 -- 3. Fourier Integral -- 3.1 L-Theory -- 3.2 L2-Theory -- 3.3 Multidimensional case -- 3.4 Entire functions of exponential type. The Paley-Wiener theorem -- 3.5 Further problems and theorems -- 3.6 Comments
to Chapter 3 -- 4. Discretization. Direct and Inverse Theorems -- 4.1 Summation formulas of Poisson and Euler-Maclaurin -- 4.2 Entire functions of exponential type and polynomials -- 4.3 Network norms. Inequalities of different metrics
-- 4.4 Direct theorems of Approximation Theory -- 4.5 Inverse theorems. Constructive characteristics. Embedding theorems -- 4.6 Moduli of smoothness -- 4.7 Approximation on an interval -- 4.8 Further problems and theorems -- 4.9
Comments to Chapter 4 -- 5. Extremal Problems of Approximation Theory -- 5.1 Best approximation -- 5.2 The space Lp. Best approximation -- 5.3 Space C. The Chebyshev alternation -- 5.4 Extremal properties for algebraic polynomials and
splines -- 5.5 Best approximation of a set by another set -- 5.6 Further problems and theorems -- 5.7 Comments to Chapter 5 -- 6. A Function as the Fourier Transform of A Measure -- 6.1 Algebras A and B. The Wiener Tauberian theorem --
6.2 Positive definite and completely monotone functions -- 6.3 Positive definite functions depending only on a norm -- 6.4 Sufficient conditions for belonging to Ap and A* -- 6.5 Further problems and theorems -- 6.6 Comments to Chapter
6 -- 7. Fourier Multipliers -- 7.1 General properties -- 7.2 Sufficient conditions -- 7.3 Multipliers of power series in the Hardy spaces -- 7.4 Multipliers and comparison of summability methods of orthogonal series -- 7.5 Further
problems and theorems -- 7.6 Comments to Chapter 7 -- 8. Summability Methods. Moduli of Smoothness -- 8.1 Regularity -- 8.2 Applications of comparison. Two-sided estimates -- 8.3 Moduli of smoothness and K-functionals -- 8.4 Moduli of
smoothness and strong summability in Hp(D), 0erences -- Author Index -- Topic Index
ISBN:9781402028762
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Fourier analysis , Functional analysis , Measure theory , Sequences (Mathematics) , Mathematics , Approximations and Expansions , Fourier Analysis , Sequences, Series, Summability , Measure and Integration , Functional Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2004-9780857293961:ONLINE Show nearby items on shelf
Title:Matched Asymptotic Expansions in Reaction-Diffusion Theory
Author(s): J. A Leach
Date:2004
Size:1 online resource (290 p.)
Note:10.1007/978-0-85729-396-1
Contents:1) Fisher Nonlinearity: Initial Data with Algebraic Decay Rates -- 5 Extension to Systems of Fisher-Kolmogorov Equations. Example: A Simple Model for an Ionic Autocatalytic System -- 6 Introduction -- 7 Permanent Form Travelling Waves
(PTWs) -- 8 The Initial-Boundary Value Problem -- 9 Asymptotic Solution of IBVP as t ? 0 for 0 ? x < ?: Initial Data with Exponential or Algebraic Decay Rates ? -- 10 Extension to the System of Singular Reaction-Diffusion Equations 221
-- C Analysis of Boundary Value Problem (8.76)–(8.78) -- D Analysis of Boundary Value Problem (8.90)–(8.92) -- References
ISBN:9780857293961
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Partial differential equations , Mathematics , Approximations and Expansions , Partial Differential Equations
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9789401725378:ONLINE Show nearby items on shelf
Title:Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics
Author(s): V. I Shalashilin
Date:2003
Size:1 online resource (228 p.)
Note:10.1007/978-94-017-2537-8
Contents:1. Nonlinear Equations with a Parameter -- 2. The Cauchy Problem for Ordinary Differential Equations -- 3. Stiff Systems of Ordinary Differential Equations -- 4. Differential — Algebraic Equations -- 5. Functional — Differential
Equations -- 6. The Parametric Approximation -- 7. Nonlinear Boundary Value Problems for Ordinary Differential Equations -- 8. Continuation of the Solution near Singular Points -- References
ISBN:9789401725378
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Integral equations , Differential equations , Computer mathematics , Mechanics , Mathematics , Ordinary Differential Equations , Approximations and Expansions , Integral Equations , Computational Mathematics and Numerical Analysis , Mechanics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9789401703994:ONLINE Show nearby items on shelf
Title:Handbook of Means and Their Inequalities
Author(s): P. S Bullen
Date:2003
Size:1 online resource (538 p.)
Note:10.1007/978-94-017-0399-4
Contents:I Introduction -- II The Arithmetic, Geometric and Harmonic Means -- III The Power Means -- IV Quasi-Arithmetic Means -- V Symmetric Polynomial Means -- VI Other Topics -- Books -- Papers -- Name Index
ISBN:9789401703994
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 560
Keywords: Mathematics , Approximation theory , Functions of real variables , Sequences (Mathematics) , Applied mathematics , Engineering mathematics , Statistics , Mathematics , Real Functions , Sequences, Series, Summability , Approximations and Expansions , Statistics, general , Applications of Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9789401702256:ONLINE Show nearby items on shelf
Title:Functional Equations, Inequalities and Applications
Author(s):
Date:2003
Size:1 online resource (224 p.)
Note:10.1007/978-94-017-0225-6
Contents:1 Hyers—Ulam stability of a quadratic functional equation in Banach modules -- 2 Cauchy and Pexider operators in some function spaces -- 3 The median principle for inequalities and applications -- 4 On the Hyers—Ulam—Rassias stability
of a Pexiderized quadratic equation II -- 5 On the Hyers—Ulam—Rassias stability of a functional equation -- 6 A pair of functional inequalities of iterative type related to a Cauchy functional equation -- 7 On approximate algebra
homomorphisms -- 8 Hadamard and Dragomir—Agarwal inequalities, the Euler formulae and convex functions -- 9 On Ulam stability in the geometry of PDE’s -- 10 On certain functional equations and mean value theorems -- 11 Some general
approximation error and convergence rate estimates in statistical learning theory -- 12 Functional equations on hypergroups -- 13 The generalized Cauchy functional equation -- 14 On the Aleksandrov—Rassias problem for isometric
mappings
ISBN:9789401702256
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Difference equations , Functional equations , Functional analysis , Partial differential equations , Functions of real variables , Mathematics , Difference and Functional Equations , Approximations and Expansions , Functional Analysis , Real Functions , Partial Differential Equations
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9789401000239:ONLINE Show nearby items on shelf
Title:Integral Geometry and Convolution Equations
Author(s): V. V Volchkov
Date:2003
Size:1 online resource (454 p.)
Note:10.1007/978-94-010-0023-9
Contents:1. Preliminaries -- 1 Sets and Mappings -- 2 Some Classes of Functions -- 3 Distributions -- 4 Some Special Functions -- 5 Some Results Related to Spherical Harmonics -- 6 Fourier Transform and Related Questions -- 7 Partial
Differential Equations -- 8 Radon Transform Over Hyperplanes -- 9 Comments And Open Problems -- 2. Functions with zero integrals over balls of a fixed radius -- 1 Functions With Zero Averages Over Balls on Subsets of The Space ?n -- 2
Averages Over Balls on Hyperbolic Spaces -- 3 Functions With Zero Integrals Over Spherical Caps -- 4 Comments And Open Problems -- 3. Convolution equation on domains in ?n -- 1 One-Dimensional Case -- 2 General Solution Of Convolution
Equation In Domains With Spherical Symmetry -- 3 Behavior of Solutions of Convolution Equation at Infinity -- 4 Systems Of Convolution Equations -- 5 Comments And Open Problems -- 4. Extremal versions of the Pompeiu problem -- 1 Sets
With The Pompeiu Property -- 2 Functions With Vanishing Integrals Over Parallelepipeds -- 3 Polyhedra With Local Pompeiu Property -- 4 Functions with Vanishing Integrals over Ellipsoids -- 5 Other Sets With Local Pompeiu Property -- 6
The ‘Three Squares’ Problem And Related Questions -- 7 Injectivity Sets of the Pompeiu Transform -- 8 Comments and Open Problems -- 5. First applications and related questions -- 1 Injectivity Sets For Spherical Radon Transform -- 2
Some Questions Of Approximation Theory -- 3 Gap Theorems -- 4 Morera Type Theorems -- 5 Mean Value Characterization of Various Classes of Functions -- 6 Applications To Partial Differential Equations -- 7 Some Questions Of Measure
Theory -- 8 Functions With Zero Integrals In Problems Of The Discrete Geometry -- 9 Comments And Open Problems -- Author Index -- Basic Notations
ISBN:9789401000239
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Fourier analysis , Integral equations , Partial differential equations , Functions of real variables , Mathematics , Real Functions , Partial Differential Equations , Integral Equations , Fourier Analysis , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9783540398103:ONLINE Show nearby items on shelf
Title:Multiscale Problems and Methods in Numerical Simulations Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001
Author(s): James H Bramble
Date:2003
Size:1 online resource (170 p.)
Note:10.1007/b13466
Contents:Preface -- A. Cohen: Theoretical Applied and Computational Aspects of Nonlinear Approximation -- W. Dahmen: Multiscale and Wavelet Methods for Operator Equations -- J. H. Bramble: Multilevel Methods in Finite Elements
ISBN:9783540398103
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze: 1825
Keywords: Mathematics , Approximation theory , Fourier analysis , Numerical analysis , Mathematics , Fourier Analysis , Approximations and Expansions , Numerical Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9783034880954:ONLINE Show nearby items on shelf
Title:Multivariate Polynomial Approximation
Author(s): Manfred Reimer
Date:2003
Size:1 online resource (358 p.)
Note:10.1007/978-3-0348-8095-4
Contents:1 Basic Principles and Facts -- 2 Gegenbauer Polynomials -- 3 Multivariate Polynomials -- 4 Polynomials on Sphere and Ball -- 5 Approximation Methods -- 6 Approximation on the Sphere -- 7 Approximation on the Ball -- 8 Tomography -- A
Legendre Basis -- B Zeros of the Kernel Function -- C Newman—Shapiro Operators -- D Reconstruction -- E Solutions
ISBN:9783034880954
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ISNM International Series of Numerical Mathematics : 144
Keywords: Mathematics , Approximation theory , Numerical analysis , Mathematics , Approximations and Expansions , Numerical Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9783034880077:ONLINE Show nearby items on shelf
Title:Singular Integral Operators, Factorization and Applications International Workshop on Operator Theory and Applications IWOTA 2000, Portugal
Author(s):
Date:2003
Size:1 online resource (382 p.)
Note:10.1007/978-3-0348-8007-7
Contents:Covariant Symbolic Calculi on Real Symmetric Domains -- Singular Integral Operators with Piecewise Almost Periodic Coefficients and Carleman Shift -- On the Essential Spectrum of Toeplitz Operators with Semi-Almost Periodic Symbols --
Well-Posedness of Diffraction Problems Involving n Coplanar Strips -- Factorization of Matrix Functions and the Resolvents of Certain Operators -- Finite Difference Cauchy-Riemann Operators and Their Fundamental Solutions in the
Complex Case -- Factorization Theorem for the Transfer Function Associated with an Unbounded Non-Self-Adjoint 2 × 2 Operator Matrix -- Boundedness of Some Convolution and Twisted Convolution Operators -- Invertibility of Functional
Operators with Slowly Oscillating Non-Carleman Shifts -- Hadamard-Type Integral Equations and Fractional Calculus Operators -- Factorization of Singular Integral Operators with a Carleman Shift via Factorization of Matrix Functions --
Single Elements of Operator Algebras -- Skew Incidence Half Plane Diffraction Problems: Particular Aspects of the Factorization Problem -- Aperiodic Wave Diffraction by a Half-Plane -- An Axiomatic Approach to the Limit Operators
Method -- Algebras of Approximation Sequences: Structure of Fractal Algebras -- Noncanonical Factorizations of Almost Periodic Multivariable Matrix Functions -- Criterion for the Fredholmness of Singular Operators with Piecewise
Continuous Coefficients in Generalized Hölder Spaces with Weight -- On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators -- An Axiomatic Approach to Stability of Approximation Sequences
ISBN:9783034880077
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications : 142
Keywords: Mathematics , Approximation theory , Functional analysis , Functions of complex variables , Integral equations , Operator theory , Partial differential equations , Mathematics , Approximations and Expansions , Functional Analysis , Functions of a Complex Variable , Integral Equations , Operator Theory , Partial Differential Equations
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9783034876001:ONLINE Show nearby items on shelf
Title:Advanced Problems in Constructive Approximation 3rd International Dortmund Meeting on Approximation Theory (IDoMAT) 2001
Author(s):
Date:2003
Size:1 online resource (274 p.)
Note:10.1007/978-3-0348-7600-1
Contents:Linear Perturbations of the Classical Orthogonal Polynomials which are Eigenfunctions of Linear Differential Operators -- (0, 1) Pál-type Interpolation: A General Method for Regularity -- De la Vallée Poussin Means for the Hankel
Transform -- Polynomial Bases on the Sphere -- A Shooting Method for Symbolic Computation of Splines -- Error Estimates for the Caratheodory-Fejér Method in Polynomial Approximation -- Shape Preserving Widths of Weighted Sobolev-Type
Classes -- On Approximation Methods by Using Orthogonal Polynomial Expansions -- Curious q-Series as Counterexamples in Padé Approximation -- On the Degree of Approximation in Multivariate Weighted Approximation -- Semigroups
Associated to Mache Operators -- A Survey on Lagrange Interpolation Based on Equally Spaced Nodes -- Multiresolution Analysis with Pulses -- H-Splines and Quasi-interpolants on a Three Directional Mesh -- Approximation by Positive
Definite Kernels -- Inequalities for Polynomials With Weights Having Infinitely many Zeros on the Real Line -- Some Erd?s-type Convergence Processes in Weighted Interpolation -- Absolute Continuity of Spectral Measure for Certain
Unbounded Jacobi Matrices -- Approximation on Compact Subsets of R
ISBN:9783034876001
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ISNM International Series of Numerical Mathematics : 142
Keywords: Mathematics , Approximation theory , Fourier analysis , Operator theory , Computer mathematics , Mathematics , Computational Mathematics and Numerical Analysis , Approximations and Expansions , Fourier Analysis , Operator Theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9780387217697:ONLINE Show nearby items on shelf
Title:Stochastic Approximation and Recursive Algorithms and Applications
Author(s): Harold J Kushner
Date:2003
Edition:Second Edition
Size:1 online resource (478 p.)
Note:10.1007/b97441
Contents:Introduction: Applications and Issues -- Applications to Learning, Repeated Games, State Dependent Noise, and Queue Optimization -- Applications in Signal Processing, Communications, and Adaptive Control -- Mathematical Background --
Convergence with Probability One: Martingale Difference Noise -- Convergence with Probability One: Correlated Noise -- Weak Convergence: Introduction -- Weak Convergence Methods for General Algorithms -- Applications: Proofs of
Convergence -- Rate of Convergence -- Averaging of the Iterates -- Distributed/Decentralized and Asynchronous Algorithms
ISBN:9780387217697
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Stochastic Modelling and Applied Probability: 35
Keywords: Mathematics , Artificial intelligence , Approximation theory , Applied mathematics , Engineering mathematics , Algorithms , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Artificial Intelligence (incl. Robotics) , Approximations and Expansions , Applications of Mathematics , Algorithms
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9780387216829:ONLINE Show nearby items on shelf
Title:Interpolation and Approximation by Polynomials
Author(s): George M Phillips
Date:2003
Size:1 online resource (312 p.)
Note:10.1007/b97417
Contents:Univariate Interpolation -- Best Approximation -- Numerical Integration -- Peano’s Theorem and Applications -- Multivariate Interpolation -- Splines -- Bernstein Polynomials -- Properties of the q-Integers
ISBN:9780387216829
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Numerical analysis , Optics , Optoelectronics , Plasmons (Physics) , Mathematics , Approximations and Expansions , Numerical Analysis , Optics, Optoelectronics, Plasmonics and Optical Devices
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2003-9780387215402:ONLINE Show nearby items on shelf
Title:Statistics on Special Manifolds
Author(s): Yasuko Chikuse
Date:2003
Size:1 online resource (403 p.)
Note:10.1007/978-0-387-21540-2
Contents:1. The Special Manifolds and Related Multivariate Topics -- 1.1. Introduction -- 1.2. Analytic Manifolds and Related Topics -- 1.3. The Special Stiefel and Grassmann Manifolds -- 1.4. The Invariant Measures on the Special Manifolds --
1.5. Jacobians and Some Related Multivariate Distributions -- 2. Distributions on the Special Manifolds -- 2.1. Introduction -- 2.2. Properties of the Uniform Distributions -- 2.3. Non-uniform Distributions -- 2.4 Random Distributions
of the Orientations of a Matrix -- 2.5. Simulation Methods for Generating Pseudo-Random Matrices on Vk,m and Pk,m?k -- 3. Decompositions of the Special Manifolds -- 3.1. Introduction -- 3.2. Decompositions onto Orthogonally Subspaces
of Vk,m -- 3.3. Other Decompositions of Vk,m -- 3.4. One-to-One Transformations of Pk,m?k onto Rm?k,k or Rm?k,k(1) -- 3.5. Another Decomposition of Pk,m?k (or Gk,m?k) -- 4. Distributional Problems in the Decomposition Theorems and the
Sampling Theory -- 4.1. Introduction -- 4.2. Distributions of the Component Matrix Variates in the Decompositions of the Special Manifolds -- 4.3. Distributions of Canonical Correlation Coefficients of General Dimension -- 4.4. General
Families of Distributions on Vk,m and Pk,m?k -- 4.5. Sampling Theory for the Matrix Langevin Distributions -- 5. The Inference on the Parameters of the Matrix Langevin Distributions -- 5.1. Introduction -- 5.2. Fisher Scoring Methods
on Vk,m -- 5.3. Other Topics in the Inference on the Orientation Parameters on Vk,m -- 5.4. Fisher Scoring Methods on Pk,m?k -- 5.5. Other Topics in the Inference on the Orientation Parameter on Pk,m?k -- 6. Large Sample Asymptotic
Theorems in Connection with Tests for Uniformity -- 6.1. Introduction -- 6.2. Asymptotic Expansions for the Sample Mean Matrix on Vk,m -- 6.3. Asymptotic Properties of the Parameter Estimation and the Tests for Uniformity on Vk,m --
6.4. Asymptotic Expansions for the Sample Mean Matrix on Pk,m?k -- 6.5. Asymptotic Properties of the Parameter Estimation and the Tests for Uniformity on Pk,m?k -- 7. Asymptotic Theorems for Concentrated Matrix Langevin Distributions
-- 7.1. Introduction -- 7.2. Estimation of Large Concentration Parameters -- 7.3. Asymptotic Distributions in Connection with Testing Hypotheses of the Orientation Parameters on Vk,m -- 7.4. Asymptotic Distributions in Connection with
Testing Hypotheses of the Orientation Parameter on Pk,m?k -- 7.5. Classification of the Matrix Langevin Distributions -- 8. High Dimensional Asymptotic Theorems -- 8.1. Introduction -- 8.2. Asymptotic Expansions for the Matrix Langevin
Distributions on Vk,m -- 8.3. Asymptotic Expansions for the Matrix Bingham and Langevin Distributions on Vk,m and Pk,m?k -- 8.4. Generalized Stam’s Limit Theorems -- 8.5. Asymptotic Properties of the Parameter Estimation and the Tests
of Hypotheses -- 9. Procrustes Analysis on the Special Manifolds -- 9.1. Introduction -- 9.2. Procrustes Representations of the Manifolds -- 9.3. Perturbation Theory -- 9.4. Embeddings -- 10. Density Estimation on the Special Manifolds
-- 10.1. Introduction -- 10.2. Kernel Density Estimation on Pk,m?k -- 10.3. Kernel Density Estimation on Vk,m -- 10.4. Density Estimation via the Decompositions (or Transformations) of Pk,m?k and Vk,m -- 10.5. Density Estimation on the
Spaces Sm and Rm,p -- 11. Measures of Orthogonal Association on the Special Manifolds -- 11.1. Introduction -- 11.2. Measures of Orthogonal Association on Vk,m -- 11.3. Measures of Orthogonal Association on Pk,m?k -- 11.4.
Distributional and Sampling Problems on Vk,m -- 11.5. Related Regression Models on Vk,m -- Appendix A. Invariant Polynomials with Matrix Arguments -- A.1. Introduction -- A.2. Zonal Polynomials -- A.3. Invariant Polynomials with
Multiple Matrix Arguments -- A.4. Basic Properties of Invariant Polynomials -- A.5. Special Cases of Invariant Polynomials -- A.6. Hypergeometric Functions with Matrix Arguments -- A.7. Tables of Zonal and Invariant Polynomials --
Appendix B. Generalized Hermite and Laguerre Polynomials with Matrix Arguments -- B.1. Introduction -- B.2.1. Series (Edgeworth) Expansions for Multiple Random Symmetric Matrices -- B.3.1. Series (Edgeworth) Expansions for Multiple
Random Rectangular Matrices -- B.4. Generalized Laguerre Polynomials in Multiple Matrices -- B.4.1. Generalized (Central) Laguerre Polynomials -- B.4.2. Generalized Noncentral Laguerre Polynomials -- B.5. Generalized Multivariate
Meixner Classes of Invariant Distributions of Multiple Random Matrices -- Appendix C. Edgeworth and Saddle-Point Expansions for Random Matrices -- C.1. Introduction -- C.2. The Case of Random Symmetric Matrices -- C.2.1. Edgeworth
Expansions -- C.2.2. Saddle-Point Expansions -- C.2.3. Generalized Edgeworth Expansions -- C.3. The Case of Random Rectangular Matrices -- C.3.1. Edgeworth Expansions -- C.3.2. Saddle-Point Expansions -- C.3.3. Generalized Edgeworth
Expansions -- C.4. Applications -- C.4.1. Exact Saddle-Point Approximations
ISBN:9780387215402
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Statistics: 174
Keywords: Statistics , Statistics , Statistical Theory and Methods
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9789401731836:ONLINE Show nearby items on shelf
Title:Summability of Multi-Dimensional Fourier Series and Hardy Spaces
Author(s): Ferenc Weisz
Date:2002
Size:1 online resource (332 p.)
Note:10.1007/978-94-017-3183-6
Contents:1. Multi-Dimensional Dyadic Hardy Spaces -- 2. Multi-Dimensional Classical Hardy Spaces -- 3. Summability of D-Dimensional Walsh-Fourier Series -- 4. The D-Dimensional Dyadic Derivative -- 5. Summability of D-Dimensional
Trigonometric-Fourier Series -- 6. Summability of D-Dimensional Fourier Transforms -- 7. spline and Ciesielski Systems -- References
ISBN:9789401731836
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 541
Keywords: Mathematics , Approximation theory , Fourier analysis , Sequences (Mathematics) , Functions of complex variables , Probabilities , Mathematics , Fourier Analysis , Approximations and Expansions , Sequences, Series, Summability , Probability Theory and Stochastic Processes , Several Complex Variables and Analytic Spaces
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9789401725194:ONLINE Show nearby items on shelf
Title:Ostrowski Type Inequalities and Applications in Numerical Integration
Author(s):
Date:2002
Size:1 online resource (482 p.)
Note:10.1007/978-94-017-2519-4
Contents:1 Generalisations of the Ostrowski Inequality and Applications -- 2 Integral Inequalities for n—Times Differentiable Mappings -- 3 Three Point Quadrature Rules -- 4 Product Branched Peano Kernels and Numerical Integration -- 5
Ostrowski Type Inequalities for Multiple Integrals -- 6 Results for Double Integrals Based on an Ostrowski Type Inequality -- 7 Product Inequalities and Weighted Quadrature -- 8 Some Inequalities for the Riemann-Stieltjes Integral
ISBN:9789401725194
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Integral equations , Computer mathematics , Probabilities , Mathematics , Integral Equations , Approximations and Expansions , Probability Theory and Stochastic Processes , Computational Mathematics and Numerical Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9783322802910:ONLINE Show nearby items on shelf
Title:The Steiner Tree Problem A Tour through Graphs, Algorithms, and Complexity
Author(s): Hans Jürgen Prömel
Date:2002
Size:1 online resource (241 p.)
Note:10.1007/978-3-322-80291-0
Contents:1 Basics I: Graphs -- 1.1 Introduction to graph theory -- 1.2 Excursion: Random graphs -- 2 Basics II: Algorithms -- 2.1 Introduction to algorithms -- 2.2 Excursion: Fibonacci heaps and amortized time -- 3 Basics III: Complexity --
3.1 Introduction to complexity theory -- 3.2 Excursion: More NP-complete problems -- 4 Special Terminal Sets -- 4.1 The shortest path problem -- 4.2 The minimum spanning tree problem -- 4.3 Excursion: Matroids and the greedy algorithm
-- 5 Exact Algorithms -- 5.1 The enumeration algorithm -- 5.2 The Dreyfus-Wagner algorithm -- 5.3 Excursion: Dynamic programming -- 6 Approximation Algorithms -- 6.1 A simple algorithm with performance ratio 2 -- 6.2 Improving the time
complexity -- 6.3 Excursion: Machine scheduling -- 7 More on Approximation Algorithms -- 7.1 Minimum spanning trees in hypergraphs -- 7.2 Improving the performance ratio I -- 7.3 Excursion: The complexity of optimization problems -- 8
Randomness Helps -- 8.1 Probabilistic complexity classes -- 8.2 Improving the performance ratio II -- 8.3 An almost always optimal algorithm -- 8.4 Excursion: Primality and cryptography -- 9 Limits of Approximability -- 9.1 Reducing
optimization problems -- 9.2 APX-completeness -- 9.3 Excursion: Probabilistically checkable proofs -- 10 Geometric Steiner Problems -- 10.1 A characterization of rectilinear Steiner minimum trees -- 10.2 The Steiner ratios -- 10.3 An
almost linear time approximation scheme -- 10.4 Excursion: The Euclidean Steiner problem -- Symbol Index
ISBN:9783322802910
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Approximation theory , Functions of complex variables , Mathematics , Functions of a Complex Variable , Approximations and Expansions , Algebra
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9781475763553:ONLINE Show nearby items on shelf
Title:Random Heterogeneous Materials Microstructure and Macroscopic Properties
Author(s): Salvatore Torquato
Date:2002
Size:1 online resource (703 p.)
Note:10.1007/978-1-4757-6355-3
Contents:1 Motivation and Overview -- 2 Microstructural Descriptors -- 3 Statistical Mechanics of Many-Particle Systems -- 4 Unified Approach to Characterize Microstructure -- 5 Monodisperse Spheres -- 6 Polydisperse Spheres -- 7 Anisotropic
Media -- 8 Cell and Random-Field Models -- 9 Percolation and Clustering -- 10 Some Continuum Percolation Results -- 11 Local Volume Fraction Fluctuations -- 12 Computer Simulations, Image Analyses, and Reconstructions -- 13 Local and
Homogenized Equations -- 14 Variational Principles -- 15 Phase-Interchange Relations -- 16 Exact Results -- 17 Single-Inclusion Solutions -- 18 Effective-Medium Approximations -- 19 Cluster Expansions -- 20 Exact Contrast Expansions --
21 Rigorous Bounds -- 22 Evaluation of Bounds -- 23 Cross-Property Relations -- A Equilibrium Hard-Disk Program -- B Interrelations Among Two- and Three-Dimensional Moduli -- References
ISBN:9781475763553
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Interdisciplinary Applied Mathematics: 16
Keywords: Mathematics , Probabilities , Condensed matter , Statistical physics , Dynamical systems , Mechanical engineering , Materials science , Mathematics , Probability Theory and Stochastic Processes , Materials Science, general , Mechanical Engineering , Statistical Physics, Dynamical Systems and Complexity , Condensed Matter Physics , Characterization and Evaluation of Materials
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9781461500032:ONLINE Show nearby items on shelf
Title:Non-Connected Convexities and Applications
Author(s): Gabriela Cristescu
Date:2002
Size:1 online resource (368 p.)
Note:10.1007/978-1-4615-0003-2
ISBN:9781461500032
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 68
Keywords: Mathematics , Approximation theory , Functional analysis , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Mathematics , Convex and Discrete Geometry , Approximations and Expansions , Functional Analysis , Calculus of Variations and Optimal Control Optimization , Optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9781461302612:ONLINE Show nearby items on shelf
Title:Computational Aspects of Linear Control
Author(s):
Date:2002
Size:1 online resource (295 p.)
Note:10.1007/978-1-4613-0261-2
Contents:1. Control of Linear Systems -- 1 The control problem -- 2 Examples -- 3 Basic notions and results -- 4 Controllability -- 5 Observability -- 6 The canonical representation -- 7 Realization -- 8 Model reduction -- 9 Stability analysis
-- 10 Poles and zeros -- 11 Decoupling -- 12 State estimation -- 13 Geometric theory -- 14 Solving the control problem -- 15 Effects of finite precision -- 2. Formal Orthogonal Polynomials -- 1 Definition and properties -- 2 Matrix
interpretation -- 3 Adjacent families -- 4 Biorthogonal polynomials -- 5 Vector orthogonal polynomials -- 3. Padé Approximations -- 1 Preliminaries -- 2 Padé—type approximants -- 3 Padé approximants -- 4 Error estimation -- 5
Generalizations -- 6 Approximations to the exponential -- 4. Transform Inversion -- 1 Laplace transform -- 2 z—transform -- 5. Linear Algebra Issues -- 1 Singular value decomposition -- 2 Schur complement -- 3 The bordering method -- 4
Determinantal identities -- 5 Hankel matrices and related topics -- 6 Stable matrices -- 7 Recursive projection -- 6. Lanczos Tridiagonalization Process -- 1 The tridiagonalization process -- 2 The non—Hermitian Lanczos process -- 7.
Systems of Linear Algebraic Equations -- 1 The method of Arnoldi -- 2 Lanczos method -- 3 Implementation of Lanczos method -- 4 Preconditioning -- 5 Transpose—free algorithms -- 6 Breakdowns -- 7 Krylov subspace methods -- 8 Hankel and
Toeplitz systems -- 9 Error estimates for systems of linear equations -- 8. Regularization of Ill—Conditioned Systems -- 1 Introduction -- 2 Analysis of the regularized solutions -- 3 The symmetric positive definite case -- 4 Rational
extrapolation procedures -- 9. Sylvester and Riccati Equations -- 1 Sylvester equation -- 2 Riccati equation -- 10. Topics on Nonlinear Differential Equations -- 1 Integrable systems -- 2 Connection to convergence acceleration -- 11.
Appendix: The Mathematics of Model Reduction -- 1 Model reduction by projection -- 2 Matrix interpretation -- 3 Increasing the dimension -- 4 Construction of the projection -- 5 Transfer function matrices
ISBN:9781461302612
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Numerical Methods and Algorithms: 1
Keywords: Mathematics , Approximation theory , Computer mathematics , Calculus of variations , Mathematics , Computational Mathematics and Numerical Analysis , Calculus of Variations and Optimal Control Optimization , Approximations and Expansions
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9781441991621:ONLINE Show nearby items on shelf
Title:Asymptotology Ideas, Methods, and Applications
Author(s): Igor V Andrianov
Date:2002
Size:1 online resource (252 p.)
Note:10.1007/978-1-4419-9162-1
ISBN:9781441991621
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 551
Keywords: Mathematics , Approximation theory , Applied mathematics , Engineering mathematics , History , Mathematics , Approximations and Expansions , Applications of Mathematics , History of Mathematical Sciences
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9780306476167:ONLINE Show nearby items on shelf
Title:Nonsmooth Equations in Optimization Regularity, Calculus, Methods and Applications
Author(s): Diethard Klatte
Date:2002
Size:1 online resource (333 p.)
Note:10.1007/b130810
Contents:Basic Concepts -- Regularity and Consequences -- Characterizations of Regularity by Derivatives -- Nonlinear Variations and Implicit Functions -- Closed Mappings in Finite Dimension -- Analysis of Generalized Derivatives -- Critical
Points and Generalized Kojima-functions -- Parametric Optimization Problems -- Derivatives and Regularity of Further Nonsmooth Maps -- Newton’s Method for Lipschitz Equations -- Particular Newton Realizations and Solution Methods --
Basic Examples and Exercises
ISBN:9780306476167
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 60
Keywords: Mathematics , Approximation theory , Functional analysis , Computer mathematics , Mathematical optimization , Calculus of variations , Mathematics , Optimization , Calculus of Variations and Optimal Control Optimization , Computational Mathematics and Numerical Analysis , Approximations and Expansions , Functional Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2002-9780306470745:ONLINE Show nearby items on shelf
Title:Atoms and Molecules in Strong External Fields
Author(s):
Date:2002
Size:1 online resource (336 p.)
Note:10.1007/b115474
Contents:White Dwarfs for Physicists -- Magnetic White Dwarfs: Observations in Cosmic Laboratories -- Hydrogen in Strong Electric and Magnetic Fields and its Application to Magnetic White Dwarfs -- Helium Data for Strong Magnetic Fields
Obtained by Finite Element Calculations -- The Spectrum of Atomic Hydrogen in Magnetic and Electric Fields of White Dwarf Stars -- Neutron Star Atmospheres -- Hydrogen Atoms in Neutron Star Atmospheres: Analytical Approximations for
Binding Energies -- Absorption of Normal Modes in a Strongly Magnetized Hydrogen Gas -- Electronic Structure of Light Elements in Strong Magnetic Fields -- From Field-Free Atoms to Finite Molecular Chains in Very Strong Magnetic Fields
-- The National High Magnetic Field Laboratory — A Precis -- Self-Adaptive Finite Element Techniques for Stable Bound Matter-Antimatter Systems in Crossed Electric and Magnetic Fields -- A Computational Method for Quantum Dynamics of a
Three-Dimensional Atom in Strong Fields -- Discretization Techniques Applied to Atoms Under Extreme Conditions -- Computer—Algebraic Derivation of Atomic Feynman—Goldstone Expansions -- Scaled-Energy Spectroscopy of Helium and Barium
Rydberg Atoms in External Fields -- Atoms in Crossed Fields -- Hydrogen-Like Ions Moving in a Strong Magnetic Field -- Center-of-Mass Effects on Atoms in Magnetic Fields -- Scaling Properties for Atoms in External Fields -- Time
Independent and Time Dependent States of Atoms in Static External Fields -- Secular Motion of 3-D Rydberg States in A Microwave Field -- Spontaneous Decay of Nondispersive Wave Packets -- Ionization of Helium by Static Electric Fields
and Short Pulses -- Adiabatic Invariants of Rydberg Electrons in Crossed Fields -- Highly Excited Charged Two-Body Systems in a Magnetic Field: A Perturbation Theoretical Approach to the Classical Dynamics -- Analysis of Quantum
Spectra by Harmonic Inversion -- Atoms in External Fields: Ghost Orbits, Catastrophes, and Uniform Semiclassical Approximations -- Quadratic Zeeman Splitting of Highly Excited Relativistic Atomic Hydrogen -- Neutral Two-Body Systems of
Charged Particles in External Fields -- Semiclassical Theory of Multielectron Atoms and the H2+ Molecular Ion in Intense External Field -- On the Ground State of the Hydrogen Molecule in a Strong Magnetic Field -- Hydrogen Molecule in
Magnetic Fields: On Excited ? States of the Parallel Configuration -- Electronic Properties of Molecules in High Magnetic Fields: Hypermagnetizabilities of H2 -- Shallow Donor States in a Magnetic Field -- Quantum Dots in Strong
Magnetic Fields -- Density Functional Theory of Quantum Dots in A Magnetic Field -- An Analytical Approach to the Problem of an Impurity Electron in a Quantum Well in the Presence of Electric and Strong Magnetic Fields
ISBN:9780306470745
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Observations, Astronomical , Astronomy , Atoms , Physics , Atomic, Molecular, Optical and Plasma Physics , Theoretical, Mathematical and Computational Physics , Astronomy, Observations and Techniques
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2001-9789401723787:ONLINE Show nearby items on shelf
Title:Multivariate Spline Functions and Their Applications
Author(s): Ren-Hong Wang
Date:2001
Size:1 online resource (512 p.)
Note:10.1007/978-94-017-2378-7
Contents:1 Introduction to Multivariate Spline Functions -- 2 Multivariate spline spaces -- 3 Other methods for studying multivariate spline functions -- 4 Higher-dimensional spline spaces -- 5 Rational spline functions -- 6 Piecewise
algebraic curves and surfaces -- 7 Applications of multivariate spline functions in finite element method and CAGD -- References
ISBN:9789401723787
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 529
Keywords: Mathematics , Numerical analysis , Image processing , Approximation theory , Computer mathematics , Engineering design , Mathematics , Approximations and Expansions , Computational Mathematics and Numerical Analysis , Numeric Computing , Image Processing and Computer Vision , Engineering Design
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2001-9789401006989:ONLINE Show nearby items on shelf
Title:Practical Asymptotics
Author(s):
Date:2001
Size:1 online resource (385 p.)
Note:10.1007/978-94-010-0698-9
Contents:Practical asymptotics -- Shear flow over a particulate or fibrous plate -- Current-voltage characteristics from an asymptotic analysis of the MOSFET equations -- Separating shear flow past a surface-mounted blunt obstacle -- Microwave
joining of two long hollow tubes: an asymptotic theory and numerical simulations -- Fast computation of limit cycles in an industrial application -- Asymptotic analysis of the steady-state and time-dependent Berman problem --
Generation of water waves and bores by impulsive bottom flux -- On the asymptotic analysis of surface-stress-driven thin-layer flow -- Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction -- Stokes
flow around an asymmetric channel divider a computational approach using matlab -- The frozen-field approximation and the Ginzburg-Landau equations of superconductivity -- Analytical approximations to the viscous glass-flow problem in
the mould-plunger pressing process, including an investigation of boundary conditions -- Asymptotic adaptive methods for multi-scale problems in fluid mechanics -- Asymptotic analysis of the flow of shear-thinning foodstuffs in annular
scraped heat exchangers -- The evolution of travelling waves from chemical-clock reactions
ISBN:9789401006989
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Approximation theory , Applied mathematics , Engineering mathematics , Mathematical models , Physics , Mathematics , Mathematical Modeling and Industrial Mathematics , Mathematics of Computing , Approximations and Expansions , Applications of Mathematics , Theoretical, Mathematical and Computational Physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2001-9781475734287:ONLINE Show nearby items on shelf
Title:Variational Theory of Splines
Author(s): Anatoly Yu Bezhaev
Date:2001
Size:1 online resource (280 p.)
Note:10.1007/978-1-4757-3428-7
Contents:1. Splines in Hilbert Spaces -- 2. Reproducing Mappings and Characterization of Splines -- 3. General Convergence Techniques and Error Estimates for Interpolating Splines -- 4. Splines in Subspaces -- 5. Interpolating DM-Splines -- 6.
Splines on Manifolds -- 7. Vector Splines -- 8. Tensor and Blending Splines -- 9. Optimal Approximation of Linear Operators -- 10. Classification of Spline Objects -- 11. ??-Approximations and Data Compression -- 12. Algorithms for
Optimal Smoothing Parameter -- Appendices -- Theorems from Functional Analysis Used in This Book -- A.1 Convergence in Hilbert Space -- A.2 Theorems on Linear Operators -- A.3 Sobolev Spaces in Domain -- On Software Investigations in
Splines -- B.1 One-Dimensional Case -- B.2 Multi-Dimensional Case
ISBN:9781475734287
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Mathematical analysis , Analysis (Mathematics) , Approximation theory , Functional analysis , Calculus of variations , Mathematics , Analysis , Functional Analysis , Numeric Computing , Approximations and Expansions , Calculus of Variations and Optimal Control Optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Return to the Fermilab Library catalog