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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 964–970
DOI: https://doi.org/10.33048/semi.2020.17.071 (Mi semr1265) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Computational mathematics

Cubature formulas on the sphere that are invariant under the transformations of the dihedral group of rotations $D_4$

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Akad. Lavrent'eva ave., Novosibirsk, 630090, Russia
Full-text PDF (307 kB) Citations (3)
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DOI: https://doi.org/10.33048/semi.2020.17.071
Abstract: An algorithm for finding the best cubature formulas (in a sense) on the sphere that are invariant under the transformations of the dihedral group of rotations $D_4$ 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 February 27, 2020, published July 17, 2020
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 group of rotations $D_4$”, Sib. Èlektron. Mat. Izv., 17 (2020), 964–970
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 group of~rotations~$D_4$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 964--970
\mathnet{http://mi.mathnet.ru/semr1265}
\crossref{https://doi.org/10.33048/semi.2020.17.071}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000551512900001}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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