A modified sinc quadrature rule for functions with poles near the arc of integration
type: Item
instance of: scholarly article
title: A modified sinc quadrature rule for functions with poles near the arc of integration
zbMATH Open document ID: 0679.65011
DOI: 10.1007/BF02219232
author: B. Bialecki
published in: BIT
publication date: 1989-01-01T00:00:00Z
review text: The author obtains a quadrature rule for estimating integrals of functions with poles near the arc of integration using the sinc function approach. Special attention is given to integration over the intervals (- \(\infty,\infty)\), (0,\(\infty)\) and (-1,1). It is also shown that the modified sinc quadrature has the same rate of convergence as the ordinary sinc quadrature rule.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 4113840
zbMATH Keywords: functions with poles
zbMATH Keywords: quadrature rule
zbMATH Keywords: sinc function
zbMATH Keywords: sinc quadrature
zbMATH Keywords: rate of convergence
reviewed by: Prem Narain
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02219232
OpenAlex ID: W2040841120
description: scientific article; zbMATH DE number 4113840