Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems (Springer Series in Computational Mathematics) - Hardcover

Book 14 of 33: Springer Computational Mathematics

Roos, Hans-Görg; Stynes, Martin; Tobiska, Lutz

 
9783540607182: Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems (Springer Series in Computational Mathematics)

Synopsis

This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems.

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From the Back Cover

This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783540344667: Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems (Springer Series in Computational Mathematics, 24)

Featured Edition

ISBN 10:  3540344667 ISBN 13:  9783540344667
Publisher: Springer, 2008
Hardcover