Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions

DOI10.1016/0377-0427(87)90045-8zbMath0626.65017OpenAlexW2008954600WikidataQ57779029 ScholiaQ57779029MaRDI QIDQ580882

Ronald Cools, Ann Haegemans

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90045-8

zbMATH Keywords

positive weightspolynomial idealALTRAN formula manipulation systemfully symmetric cubature formulaeS-methodsymmetric planar regionsT-method

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Another step forward in searching for cubature formulae with a minimal number of knots for the square, The construction of symmetric cubature formulas for the square and the triangle, Why do so many cubature formulae have so many positive weights ?, Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions, Optimal addition of knots to cubature formulae for planar regions, Monomial cubature rules since ``Stroud: A compilation, Improved cubature formulae of high degrees of exactness for the square

Uses Software

• ALTRAN

Cites Work

• 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 Seven and Nine Symmetric Planar Regions, Using Orthogonal Polynomials
• Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory
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