Cubature formulas on the sphere that are invariant under the transformations of the dihedral group of rotations \(D_4\)

DOI10.33048/semi.2020.17.071OpenAlexW3116585017MaRDI QIDQ779159

Anatolii Stepanovich Popov

Publication date: 21 July 2020

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

Full work available at URL: https://doi.org/10.33048/semi.2020.17.071

zbMATH Keywords

numerical integrationinvariant polynomialsinvariant cubature formulasdihedral group of rotations

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (2)

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

Cites Work

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• Cubature formulas on a sphere that are invariant with respect to octahedron rotation groups
• 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 \(D_{4h}\)
• Zur numerischen Auswertung mehrdimensionaler Integrale
• Cubature formulae for a sphere invariant under cyclic rotation groups
• Optimal Numerical Integration on a Sphere

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