Cubature formulas on the sphere that are invariant under the transformations of the dihedral groups of rotations with inversion

DOI10.33048/semi.2021.18.050zbMath1468.65024OpenAlexW4210428699WikidataQ113700850 ScholiaQ113700850MaRDI QIDQ2047135

Anatolii Stepanovich Popov

Publication date: 19 August 2021

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

Full work available at URL: https://doi.org/10.33048/semi.2021.18.050

zbMATH Keywords

numerical integrationinvariant polynomialsinvariant cubature formulasdihedral group of rotations

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (1)

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Cites Work

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• Cubature formulas on the sphere that are invariant under the transformations of the dihedral group of rotations \(D_4\)
• Cubature formulae for a sphere which are invariant with respect to the tetrahedral group
• Cubature formulas on a sphere invariant under the dihedral group of rotations with inversion \(D_{5d}\)
• Cubature formulas on a sphere that are invariant under the transformations of the dihedral group of rotations with inversion \(D_{3d}\)
• Cubature formulas on a sphere invariant under the dihedral group \(D_{2h}\)
• Cubature formulas on a sphere invariant under the dihedral group of rotations with inversion \(D_{4h}\)
• Cubature formulae for a sphere invariant under cyclic rotation groups
• Cubature formulas on a sphere that are invariant with respect to a group of dihedron rotations with inversion D 6h
• Optimal Numerical Integration on a Sphere

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