Cubature formulas on a sphere invariant under the symmetry groups of regular polyhedrons

DOI10.17377/SEMI.2017.14.019zbMath1357.65032MaRDI QIDQ515220

Anatolii Stepanovich Popov

Publication date: 13 March 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

numerical integrationsymmetry groupsrotation groupsinvariant polynomialsinvariant cubature formulasregular polyhedrons

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (2)

Analytical study of cubature formulas on a sphere in computer algebra systems ⋮ Unnamed Item

Cites Work

• Cubature formulas on a sphere invariant under the tetrahedral group with inversion
• Quadratures of Gaussian type for a sphere invariant under the icosahedral group with inversion
• Cubature formulas of higher orders of accuracy for a sphere that are invariant with respect to a tetrahedron group.
• Cubature formulas on a sphere that are invariant with respect to octahedron rotation groups
• A quadrature formula for the sphere of the 131st algebraic order of accuracy
• Cubature formulae for a sphere which are invariant with respect to the tetrahedral group
• On invariant quadrature formulae for a sphere
• Optimal Numerical Integration on a Sphere
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