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

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

ISBN 10: 3540607188 / ISBN 13: 9783540607182

Editore: Springer, 1996

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Codice articolo ERICA75435406071885

Dati bibliografici

• Titolo: Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems (Springer Series in Computational Mathematics)
• Editore: Springer
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 3540607188
• ISBN 13: 9783540607182
• Rilegatura: Hardcover
• Condizione: Like New
• Tipo di libro: book

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Riassunto

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.