Numerical Methods for Singularly Perturbed Differential Equations

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.

First Sentence

We begin with a general form of the problem that will occupy our attention throughout most of Chapter I.

Subjects

Other Editions

• Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems (Springer Series in Computational Mathematics)HardcoverSpringer1996-03-14
• Numerical Methods for Singularly Perturbed Differential EquationsSpringer London, Limited2013-01-01