Efficient collocation schemes for singular boundary value problems
type: Item
instance of: scholarly article
title: Efficient collocation schemes for singular boundary value problems
zbMATH Open document ID: 1021.65038
DOI: 10.1023/A:1021151821275
author: Othmar Koch
author: W. Auzinger
author: E. B. Weinmüller
published in: Numerical Algorithms
publication date: 2003-03-10T00:00:00Z
review text: A new estimate for the global error of collocation methods applied to solve two-point boundary value problems is presented. A proof of the asymptotic correctness of this estimate is given for regular problems. The method can be applied also to singular problems. This estimate is used as a basis for a reliable and efficient adaptive mesh procedure. Its most remarcable feature is the proper grid adjustment in the singular case, correctly reflecting the solution behavior and unaffected by the unsmoothness of the direction field.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1879356
zbMATH Keywords: singular boundary value problems
zbMATH Keywords: singularity of the first kind
zbMATH Keywords: collocation methods
zbMATH Keywords: global error estimation
zbMATH Keywords: mesh selection
reviewed by: Laura Iulia Aniţa
describes a project that uses: COLSYS
describes a project that uses: Sbvp
MaRDI profile type: Publication
full work available at URL: a:1021151821275
OpenAlex ID: W2147704408
description: scientific article; zbMATH DE number 1879356