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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 703–709
DOI: https://doi.org/10.33048/semi.2021.18.050 (Mi semr1391) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computational mathematics

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

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Akad. Lavrent'eva ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.050
Abstract: An algorithm for finding the best cubature formulas (in a sense) on the sphere that are invariant under the transformations of the dihedral groups of rotations with inversion is described. This algorithm is applied for finding parameters of all the best cubature formulas of this symmetry type up to the 35th order of accuracy.
Keywords: numerical integration, invariant cubature formulas, invariant polynomials, dihedral group of rotations.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0315-2019-0008
The author was supported by State Contract 0315-2019-0008.
Received April 23, 2021, published June 15, 2021
Bibliographic databases:
Document Type: Article
UDC: 519.644
MSC: 65D32
Language: English
Citation: A. S. Popov, “Cubature formulas on the sphere that are invariant under the transformations of the dihedral groups of rotations with inversion”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 703–709
Citation in format AMSBIB
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\by A.~S.~Popov
\paper Cubature formulas on the sphere that are invariant under the transformations of the dihedral groups of rotations with inversion
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 703--709
\mathnet{http://mi.mathnet.ru/semr1391}
\crossref{https://doi.org/10.33048/semi.2021.18.050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000674358600001}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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