Multidimensional quadrature algorithms at higher degree and/or dimension
type: Item
instance of: scholarly article
title: Multidimensional quadrature algorithms at higher degree and/or dimension
zbMATH Open document ID: 0869.65017
author: Simon Capstick
author: B. D. Keister
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: The numerical behaviour of non-product multidimensional integration rules produced by two different generation schemes are compared. The authors find that the scheme introduced by \textit{A. Genz} [SIAM J. Numer. Anal. 23, 1273-1283 (1986; Zbl 0613.65021)] is more accurate, better conditioned and simpler to implement for high degree and/or dimension, than the one of \textit{J. McNamee} and \textit{F. Stenger} [Numer. Math. 10, 327-344 (1967; Zbl 0155.21702)].
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 881853
zbMATH Keywords: multidimensional quadrature algorithms
zbMATH Keywords: cubature
zbMATH Keywords: non-product multidimensional integration rules
reviewed by: William E. Smith
describes a project that uses: PATSYM
MaRDI profile type: Publication
full work available at URL: jcph.1996.0023
OpenAlex ID: W2065195078
DOI: 10.1006/JCPH.1996.0023
description: scientific article; zbMATH DE number 881853