Cubature formulas for the surface of the sphere
type: Item
instance of: scholarly article
title: Cubature formulas for the surface of the sphere
zbMATH Open document ID: 0615.65027
DOI: 10.1016/0377-0427(87)90044-6
author: Patrick Keast
published in: Journal of Computational and Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Cubature formulas are given for computing the integral: \(I(f)=\int_{U_ s}f(x)d\sigma\), where \(d\sigma\) is an element of the surface \(U_ s\) of the s-dimensional sphere in Cartesian coordinates \(x=(x_ 1,x_ 2,...,x_ s)\). Their formulas are fully symmetric and satisfy optimum (minimum point) structures. The points and weights of the formulas are computed.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 3997006
zbMATH Keywords: multiple dimensional sphere
zbMATH Keywords: minimum point structure
zbMATH Keywords: fully symmetric cubature formulas
describes a project that uses: minpack
MaRDI profile type: Publication
full work available at URL: 0377-0427(87)90044-6
OpenAlex ID: W2084633873
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description: scientific article; zbMATH DE number 3997006