Numerical Methods for Singularly Perturbed Differential Equations [electronic resource] : Convection-Diffusion and Flow Problems /

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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Bibliographic Details
Main Authors: Roos, Hans-Görg. author., Stynes, Martin. author., Tobiska, Lutz. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996
Subjects:Mathematics., Chemistry, Physical and theoretical., Numerical analysis., Biomathematics., Physics., Statistics., Applied mathematics., Engineering mathematics., Numerical Analysis., Appl.Mathematics/Computational Methods of Engineering., Mathematical and Computational Biology., Statistics for Life Sciences, Medicine, Health Sciences., Theoretical and Computational Chemistry., Mathematical Methods in Physics.,
Online Access:http://dx.doi.org/10.1007/978-3-662-03206-0
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