A sinc quadrature subroutine for Cauchy principal value integrals
type: Item
instance of: scholarly article
title: A sinc quadrature subroutine for Cauchy principal value integrals
zbMATH Open document ID: 0943.65031
DOI: 10.1016/S0377-0427(99)00219-8
author: B. Bialecki
author: Patrick Keast
published in: Journal of Computational and Applied Mathematics
publication date: 2000-08-21T00:00:00Z
review text: The aim of this paper is to present a subroutine for the evaluation of Cauchy principal value integrals. The method is based on a truncated sum of a Sinc function series. A nested sequence of approximation algorithm is proposed. Numerical results prove that the proposed algorithm works well on analytic functions with endpoint singularities. Calculations were carried out on a Sun SPARC server-1000 in double precision (IEEE standard). ANSI FORTRAN 77 listing for the algorithm AUSINC is included and can be free downloaded via anonymous ftp to www.cs.dal.ca/keast/ausinc.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 1398793
zbMATH Keywords: sinc quadrature
zbMATH Keywords: Cauchy principal value integrals
zbMATH Keywords: AUSINC code
zbMATH Keywords: algorithm
zbMATH Keywords: numerical results
zbMATH Keywords: endpoint singularities
describes a project that uses: CADRE
MaRDI profile type: Publication
cites work: A Sinc-Hunter Quadrature Rule for Cauchy Principal Value Integrals
cites work: A method for numerical integration on an automatic computer
cites work: Modified compound quadrature rules for strongly singular integrals
cites work: Q4325929
cites work: An Automatic Quadrature for Cauchy Principal Value Integrals
cites work: Q5820804
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cites work: Computing the Hilbert Transform on the Real Line
full work available at URL: s0377-0427(99)00219-8
OpenAlex ID: W2059096059
Wikidata QID: Q127957363
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description: scientific article; zbMATH DE number 1398793