Analysis of Finite Difference Schemes, Bo?ko S. Jovanovi?; Endre S?li

Автор: Bo?ko S. Jovanovi?, Endre S?li
Название: Analysis of Finite Difference Schemes
ISBN: 1447154592 ISBN-13(EAN): 9781447154594
Издательство: Springer
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Описание: This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions.Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations.

Автор: Siegfried M?ller
Название: Adaptive Multiscale Schemes for Conservation Laws
ISBN: 3540443258 ISBN-13(EAN): 9783540443254
Издательство: Springer
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Описание: Therefore new numerical algorithms have to be developed with a computational complexity that can be termed nearly optimal in the sense that storage and computational expense remain proportional to the "inher- ent complexity" (a term that will be made clearer later) problem.

Автор: Ivan Gavrilyuk; Martin Hermann; Volodymyr Makarov;
Название: Exact and Truncated Difference Schemes for Boundary Value ODEs
ISBN: 3034803419 ISBN-13(EAN): 9783034803410
Издательство: Springer
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Описание: This comprehensive primer on compact finite difference methods for solving boundary value ODEs with high accuracy includes coverage of various a posteriori error estimators which are ideal for use in adaptive algorithms as important building blocks.

Автор: R?mi Abgrall; H?lo?se Beaugendre; Pietro Marco Con
Название: High Order Nonlinear Numerical Schemes for Evolutionary PDEs
ISBN: 3319381725 ISBN-13(EAN): 9783319381725
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013.

Автор: Freerk A. Lootsma
Название: Multi-Criteria Decision Analysis via Ratio and Difference Judgement
ISBN: 1441948104 ISBN-13(EAN): 9781441948106
Издательство: Springer
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Описание: The point of departure in the present book is that the decision makers, involved in the evaluation of alternatives under conflicting criteria, express their preferential judgement by estimating ratios of subjective values or differences of the corresponding logarithms, the so-called grades.

Автор: Randall LeVeque
Название: Finite Difference Methods for Ordinary and Partial Differential Equations
ISBN: 0898716292 ISBN-13(EAN): 9780898716290
Издательство: Mare Nostrum (Eurospan)
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Описание: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book’s webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics.

Автор: Debora Amadori; Laurent Gosse
Название: Error Estimates for Well-Balanced Schemes on Simple Balance Laws
ISBN: 3319247840 ISBN-13(EAN): 9783319247847
Издательство: Springer
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Описание: Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation.