On a certain quadrature formula
type: Item
instance of: scholarly article
title: On a certain quadrature formula
zbMATH Open document ID: 0616.65023
DOI: 10.1016/0377-0427(87)90034-3
author: Masao Iri
author: Yoshimitsu Takasawa
author: Shigeichi Moriguchi
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The known IMT-rule (in essence a change of variable extremely useful for numerical quadrature of functions with endpoints singularities) was published in japanese (1970) and has been frequently cited [see, f.e., \textit{P. J. Davis} and \textit{P. Rabinowitz}, Methods of numerical integration (1975; Zbl 0304.65016)]. A useful table for the abscissae and weights is revised using results of \textit{K. Murota} and the first author [Numer. Math. 38, 347-363 (1982; Zbl 0478.65010)] and a bibliography is added; in particular a related paper of \textit{C. Schwartz} [J. Comput. Phys. 4, 19-29 (1969; Zbl 0208.411)].
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 3999120
zbMATH Keywords: IMT-rule
zbMATH Keywords: change of variable
zbMATH Keywords: numerical quadrature
zbMATH Keywords: endpoints singularities
zbMATH Keywords: table for the abscissae and weights
zbMATH Keywords: bibliography
reviewed by: Antonio de Castro
MaRDI profile type: Publication
full work available at URL: 0377-0427(87)90034-3
OpenAlex ID: W2090332806
cites work: Q5533688
cites work: Q4195836
cites work: Double exponential formulas for numerical integration
cites work: Parameter tuning and repeated application of the IMT-type transformation in numerical quadrature
cites work: Numerical integration of analytic functions
description: scientific article; zbMATH DE number 3999120