Robust Numerical Methods for Singularly Perturbed Differential Equations Convection-Diffusion-Reaction and Flow Problems /

• Main Authors: Roos, Hans-Görg (Author), Stynes, Martin (Author), Tobiska, Lutz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Edition: 2.
• Series: Springer Series in Computational Mathematics, 24
• Subjects: Mathematics.; Chemistry, Physical and theoretical.; Mathematical analysis.; Analysis (Mathematics).; Numerical analysis.; Biomathematics.; Statistics.; Applied mathematics.; Engineering mathematics.; Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Analysis.; Mathematical and Computational Biology.; Statistics for Life Sciences, Medicine, Health Sciences.; Theoretical and Computational Chemistry.
• Physical Description: XIV, 604 p. 41 illus. online resource.
• ISBN: 9783540344674
• ISSN: 0179-3632 ;

This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations.