On the development of effective algorithms for the numerical solution of singularly perturbed two-point boundary value problems
type: Item
instance of: scholarly article
title: On the development of effective algorithms for the numerical solution of singularly perturbed two-point boundary value problems
zbMATH Open document ID: 1184.34025
DOI: 10.1504/IJCSM.2007.013763
author: Steven Capper
author: Jeff R. Cash
author: Francesca Mazzia
published in: International Journal of Computing Science and Mathematics
publication date: 2010-04-22T00:00:00Z
review text: Summary: Singular perturbation boundary value problems have proved to be hard to solve numerically because their solutions have regions of rapid variation. Extensive numerical experience has shown that it is important to consider the conditioning of such problems since algorithms are developed on the assumption that a small local error in the computed solution will produce a correspondingly small global error. This may be valid only if the problem is well conditioned. In this paper we describe how conditioning information can be added to state of the art codes, and give numerical results demonstrating the effectiveness of this approach.
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 5697003
zbMATH Keywords: singular perturbation
zbMATH Keywords: two point boundary value problems
zbMATH Keywords: conditioning
zbMATH Keywords: local error
zbMATH Keywords: deferred correction
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5697003