Numerical Methods for Singularly Perturbed Differential Equations
Subtitle: Convection-Diffusion and Flow Problems (Springer Series in Computational Mathematics)
Edition: 1 edition
Publisher: Springer
Published: March 14, 1996
Language: eng
Format: Hardcover
Number of pages: 348
ISBN-13: 9783540607182
Subjects: Differential Equations; Numerical analysis; Numerical Solutions Of Differential Equations; Mathematics; Science/Mathematics; Numerical solutions; Chemistry - Physical & Theoretical; Number Systems; Grenzschichten; Konvektion-Diffusion; Mathematics / Number Systems; Navier-Stokes-Gleichungen; Navier-stokes equations; Singular perturbation; Singuläre Störungen; boundary and interior layers; convection-diffusion; numerical methods; Perturbation (Mathematics)
First sentence: We begin with a general form of the problem that will occupy our attention throughout most of Chapter I.
Description: 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.