Difference Methods for Singular Perturbation Problems
Published on 22. September 2008
408 pages
978-1-040-19651-9 (ISBN)
Description
? Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ?-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.
The first part of the book e
The first part of the book e
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
File size
0,48 MB
ISBN-13
978-1-040-19651-9 (9781040196519)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Grigory I. Shishkin | Lidia P. Shishkina
Difference Methods for Singular Perturbation Problems
Book
09/2019
1st Edition
Chapman & Hall/CRC
€96.80
Shipment within 15-20 days
Grigory I. Shishkin | Lidia P. Shishkina
Difference Methods for Singular Perturbation Problems
Book
09/2008
1st Edition
Chapman & Hall/CRC
€247.50
Article not available at the moment
Persons
Shishkin, Grigory I.; Shishkina, Lidia P.
Content
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.
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.
