Monomial cubature rules since ``Stroud'': A compilation. II
type: Item
instance of: scholarly article
title: Monomial cubature rules since ``Stroud'': A compilation. II
zbMATH Open document ID: 0954.65021
DOI: 10.1016/S0377-0427(99)00229-0
author: Ronald Cools
published in: Journal of Computational and Applied Mathematics
publication date: 2000-02-03T00:00:00Z
review text: [For part I see \textit{R. Cools} and \textit{P. Rabinowitz}, ibid. 48, No. 3, 309-329 (1993; Zbl 0799.65027).] This second part of a compilation of rules for multiple integration continues in the same format as the original. New rules, new references and some corrections are reported mostly in tabular form to clearly correlate with the previous tables. An appropriate commentary accompanies the tables. The references also augment the earlier set with numbering running on consecutively. The two parts together, and with \textit{A. H. Stroud's} book [Approximate calculation of multiple integrals (1971; Zbl 0379.65013)], then give a near comprehensive listing, at least of work available in English. As before, the regions covered are the \(n\)-cube, \(n\)-sphere and the entire space for selected low values of \(n\). Some results for general \(n\) are also included.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 1398794
zbMATH Keywords: cubature
zbMATH Keywords: multiple integration
zbMATH Keywords: tables
zbMATH Keywords: \(n\)-cube
zbMATH Keywords: \(n\)-sphere
Wikidata QID: Q57778983
reviewed by: William E. Smith
describes a project that uses: HRMSYM
describes a project that uses: adsimp
describes a project that uses: PATSYM
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00229-0
OpenAlex ID: W2065525246
description: scientific article; zbMATH DE number 1398794