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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1196–1204
DOI: https://doi.org/10.33048/semi.2019.16.081 (Mi semr1122) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Computational mathematics

Cubature formulas on a sphere that are invariant under the transformations of the dihedral group of rotations with inversion $D_{3d}$

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, Akad. Lavrent'eva ave., Novosibirsk, 630090, Russia
Full-text PDF (146 kB) Citations (4)
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DOI: https://doi.org/10.33048/semi.2019.16.081
Abstract: An algorithm of searching for the best (in a sense) cubature formulas on a sphere that are invariant under the transformations of the dihedral group of rotations with inversion D3d is described. This algorithm is applied to find the 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
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0315-2019-0008
Received February 21, 2019, published September 2, 2019
Bibliographic databases:
Document Type: Article
UDC: 519.644
MSC: 65D32
Language: Russian
Citation: A. S. Popov, “Cubature formulas on a sphere that are invariant under the transformations of the dihedral group of rotations with inversion $D_{3d}$”, Sib. Èlektron. Mat. Izv., 16 (2019), 1196–1204
Citation in format AMSBIB
\Bibitem{Pop19}
\by A.~S.~Popov
\paper Cubature formulas on a sphere that are invariant under the transformations of the dihedral group of rotations with inversion $D_{3d}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1196--1204
\mathnet{http://mi.mathnet.ru/semr1122}
\crossref{https://doi.org/10.33048/semi.2019.16.081}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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