Minimal cubature formulae of degree 3 for integrals over the surface of the torus
type: Item
instance of: scholarly article
title: Minimal cubature formulae of degree 3 for integrals over the surface of the torus
zbMATH Open document ID: 0861.65016
DOI: 10.1007/BF02247406
author: Yanyan Li
published in: Computing
publication date: 1996-11-17T00:00:00Z
review text: The authors provide some new rules for numerical integration over the surface of a torus. This is a problem that has had only very limited attention. The new degree three rules are shown to require the minimal number of integrand values (six). Explicit formulas are provided for the integration weights and integration points. The formulas hold for all radii.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 935214
zbMATH Keywords: minimal cubature formulae
zbMATH Keywords: numerical integration over the surface of a torus
zbMATH Keywords: degree three rules
zbMATH Keywords: integration weights
zbMATH Keywords: integration points
reviewed by: A. Genz
MaRDI profile type: Publication
cites work: Q4867205
cites work: Kubaturformeln mit minimaler Knotenzahl
cites work: Q4158394
full work available at URL: https://doi.org/10.1007/bf02247406
OpenAlex ID: W1926269046
description: scientific article; zbMATH DE number 935214