Difference Methods for Singular Perturbation Problems

by Grigory I. Shishkin, Lidia P. Shishkina

Overview

Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.

The first part of the book e

Product Details

ISBN-13:	9781040196519
Publisher:	CRC Press
Publication date:	09/22/2008
Series:	Monographs and Surveys in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	408
File size:	784 KB

About the Author

Shishkin, Grigory I.; Shishkina, Lidia P.

Table of Contents

Introduction. Boundary Value Problems for Elliptic Reaction-Diffusion Equations in Domains with Smooth Boundaries. Boundary Value Problems for Elliptic Reaction-Diffusion Equations in Domains with Piecewise-Smooth Boundaries. Generalizations for Elliptic Reaction-Diffusion Equations. Parabolic Reaction-Diffusion Equations.
Elliptic Convection-Diffusion Equations. Parabolic Convection-Diffusion Equations. Grid Approximations of Parabolic Reaction-Diffusion Equations with Three Perturbation Parameters. Application of Widths for Construction of Difference Schemes for Problems with Moving Boundary Layers. High-Order Accurate Numerical Methods for Singularly Perturbed Problems. A Finite Difference Scheme on a priori Adapted Grids for a Singularly Perturbed Parabolic Convection-Diffusion Equation. On Conditioning of Difference Schemes and Their Matrices for Singularly Perturbed Problems. Approximation of Systems of Singularly Perturbed Elliptic Reaction-Diffusion Equations with Two Parameters. Survey. References.