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

DOI10.1134/s0965542523010050MaRDI QIDQ6039141

I. V. Levichev, M. D. Malykh, Yury A. Blinkov, Vladimir S. Melezhik, R. E. Bayramov

Publication date: 3 May 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Gröbner basiscubature formulasinvolutive basisicosahedral rotation group

Mathematics Subject Classification ID

Numerical analysis (65-XX) Systems theory; control (93-XX)

Cites Work

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• Cubature formulas on a sphere invariant under the symmetry groups of regular polyhedrons
• New method for solving multidimensional scattering problem
• On the computation of nonnegative quadrature weights on the sphere
• A Gröbner approach to involutive bases
• Sampling Sets and Quadrature Formulae on the Rotation Group
• Recursive functions of symbolic expressions and their computation by machine, Part I
• Cubature Formulas Invariant under the Icosahedral Group of Rotations with Inversion on a Sphere

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