Higher order uniformly convergent methods for singular perturbation problems
type: Item
instance of: scholarly article
title: Higher order uniformly convergent methods for singular perturbation problems
zbMATH Open document ID: 0824.65079
DOI: 10.1016/S0045-7825(94)80033-2
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1995-11-16T00:00:00Z
review text: High order uniformly convergent schemes for singularly perturbed ordinary or elliptic boundary-value problems are presented. Main idea: At first solve an auxiliary problem with piecewise constant coefficients and then improve iteratively the approximation.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 764283
zbMATH Keywords: singular perturbation
zbMATH Keywords: high order uniform convergence
zbMATH Keywords: finite difference method
author: Hans-G. Roos
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
cites work: Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
cites work: Q3140250
cites work: Defect correction methods for convection dominated convection-diffusion problems
cites work: Global uniformly convergent schemes for a singularly perturbed boundary- value problem using patched base spline-functions
cites work: Q4035860
cites work: Q3909948
cites work: Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme
cites work: Perturbations singulières dans les problèmes aux limites et en contrôle optimal
cites work: Q4005968
full work available at URL: s0045-7825(94)80033-2
OpenAlex ID: W1983954837
description: scientific article; zbMATH DE number 764283