Optimal addition of knots to cubature formulae for planar regions
type: Item
instance of: scholarly article
title: Optimal addition of knots to cubature formulae for planar regions
zbMATH Open document ID: 0574.65014
DOI: 10.1007/BF01389629
author: Ronald Cools
author: Ann Haegemans
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133112
review text: A method is described to add knots to a cubature formula of degree 2k-1 for an integral over a symmetric region, to obtain a cubature formula of degree \(2k+1\). This method is used to construct cubature formulae for the square, the circle, the hexagon and the entire plane.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 3917535
zbMATH Keywords: optimal addition of knots
zbMATH Keywords: cubature formula
zbMATH Keywords: symmetric region
Wikidata QID: Q57779031
MaRDI profile type: Publication
cites work: Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions
cites work: Circularly symmetrical integration formulas for two-dimensional circularly symmetrical regions
cites work: Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials
cites work: Construction of Cubature Formulas of Degree Seven and Nine Symmetric Planar Regions, Using Orthogonal Polynomials
cites work: Kubaturformeln mit minimaler Knotenzahl
cites work: The Optimum Addition of Points to Quadrature Formulae
cites work: Q4158394
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description: scientific article; zbMATH DE number 3917535