On integrating vertex singularities using extrapolation
type: Item
instance of: scholarly article
title: On integrating vertex singularities using extrapolation
zbMATH Open document ID: 0822.65015
DOI: 10.1007/BF01935016
published in: BIT
publication date: 1995-10-15T00:00:00Z
review text: The author describes a new approach to the integration of vertex singularities. It is based on a non-uniform subdivision of the region of integration and one can say that the technique used fits well to the subdivision strategy used in many adaptive algorithms. It can be used in any dimension and on any region of integration which can be subdivided into subregions of the same form. The strategy described can be applied both to vertex singularities and internal point singularities. Its technique has a remarkable numerical stability property.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 65B05
zbMATH DE Number: 716126
zbMATH Keywords: extrapolation technique
zbMATH Keywords: integration of vertex singularities
zbMATH Keywords: subdivision strategy
zbMATH Keywords: adaptive algorithms
zbMATH Keywords: internal point singularities
zbMATH Keywords: numerical stability
author: Terje O. Espelid
reviewed by: Dimitrie D. Stancu
describes a project that uses: DCUTRI
MaRDI profile type: Publication
cites work: Algorithm 706: DCUTRI: an algorithm for adaptive cubature over a collection of triangles
cites work: Q4011842
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full work available at URL: https://doi.org/10.1007/bf01935016
OpenAlex ID: W1964613269
description: scientific article; zbMATH DE number 716126