Numerical methods for singularly perturbed differential equations :
General Material Designation
[Book]
Other Title Information
convection-diffusion and flow problems
First Statement of Responsibility
H.-G. Roos, M. Stynes, L. Tobiska.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
1996
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(xvi, 352 pages)
SERIES
Series Title
Springer series in computational mathematics, 24.
SUMMARY OR ABSTRACT
Text of Note
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.