Another step forward in searching for cubature formulae with a minimal number of knots for the square

DOI10.1007/BF02247942zbMath0628.65014DBLPjournals/computing/CoolsH88WikidataQ57779022 ScholiaQ57779022MaRDI QIDQ1093315

Ronald Cools, Ann Haegemans

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

invariant theorycubature formularotation invariant24-point formula of degree 11

Mathematics Subject Classification ID

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

Related Items (7)

New computationally efficient quadrature formulas for triangular prism elements ⋮ The construction of cubature formulae by continuation ⋮ The construction of cubature formulae for a family of integrals: A bifurcation problem ⋮ On the identification of symmetric quadrature rules for finite element methods ⋮ Blending methods for two classical integrals ⋮ Monomial cubature rules since ``Stroud: A compilation ⋮ Improved cubature formulae of high degrees of exactness for the square

Cites Work

• Construction of fully symmetric cubature formulae of degree 4k-3 for fully symmetric planar regions
• Automatic computation of knots and weights of cubature formulae for circular symmetric planar regions
• The construction of three-dimensional invariant cubature formulae
• Kubaturformeln mit minimaler Knotenzahl
• Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique
• Construction of Cubature Formulas of Degree Seven and Nine Symmetric Planar Regions, Using Orthogonal Polynomials
• Perfectly Symmetric Two-Dimensional Integration Formulas with Minimal Numbers of Points
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