Why do so many cubature formulae have so many positive weights ?

DOI10.1007/BF01954899zbMath0677.41031OpenAlexW2052615743WikidataQ57779026 ScholiaQ57779026MaRDI QIDQ1123333

Ronald Cools, Ann Haegemans

Publication date: 1988

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01954899

zbMATH Keywords

cubature formulaeexamplescentral symmetry

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items

Generalized Gaussian quadrature rules on arbitrary polygons, Cubature formulae and orthogonal polynomials

Cites Work

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• Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions
• Kubaturformeln mit minimaler Knotenzahl
• Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials
• Economical symmetrical quadrature rules for complete polynomials over a square domain
• Construction of Cubature Formulas of Degree Seven and Nine Symmetric Planar Regions, Using Orthogonal Polynomials