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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 252–259
DOI: https://doi.org/10.17377/semi.2016.13.018 (Mi semr668) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Computational mathematics

Cubature formulas on a sphere invariant under the dihedral group D2h

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrent'eva, 6, 630090, Novosibirsk, Russia
Full-text PDF (136 kB) Citations (5)
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DOI: https://doi.org/10.17377/semi.2016.13.018
Abstract: An algorithm of searching for the best (in a sense) cubature formulas on a sphere that are invariant under the transformations of dihedral group of rotations with inversion D2h is described. This algorithm is applied to find parameters of all the best cubature formulas of this symmetry group up to the 35th order of accuracy.
Keywords: numerical integration, invariant cubature formulas, invariant polynomials, dihedral group of rotations.
Received February 17, 2016, published March 25, 2016
Bibliographic databases:
Document Type: Article
UDC: 519.644
MSC: 65D32
Language: Russian
Citation: A. S. Popov, “Cubature formulas on a sphere invariant under the dihedral group D2h”, Sib. Èlektron. Mat. Izv., 13 (2016), 252–259
Citation in format AMSBIB
\Bibitem{Pop16}
\by A.~S.~Popov
\paper Cubature formulas on a sphere invariant under the dihedral group D2h
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 252--259
\mathnet{http://mi.mathnet.ru/semr668}
\crossref{https://doi.org/10.17377/semi.2016.13.018}
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    • This publication is cited in the following 5 articles:
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