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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2001, Volume 4, Number 3, Pages 281–284 (Mi sjvm401)  
This article is cited in 3 scientific papers (total in 3 papers)

New cubature formulae invariant under the octahedral group of rotations for a sphere

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (298 kB) Citations (3)
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Abstract: In this paper, new cubature formulae of Gaussian type invariant under the octahedral group of rotations for a sphere are constructed. The parameters of the cubature formulae of the 12th, 13th, 14th, 16th, 18th, 20th, 21st, 22nd, 24th, and 25th orders of accuracy are given to 16 significant digits.
Received: 26.09.2000
Revised: 24.01.2001
Document Type: Article
UDC: 519.644.7
Language: Russian
Citation: A. S. Popov, “New cubature formulae invariant under the octahedral group of rotations for a sphere”, Sib. Zh. Vychisl. Mat., 4:3 (2001), 281–284
Citation in format AMSBIB
\Bibitem{Pop01}
\by A.~S.~Popov
\paper New cubature formulae invariant under the octahedral group of rotations for a~sphere
\jour Sib. Zh. Vychisl. Mat.
\yr 2001
\vol 4
\issue 3
\pages 281--284
\mathnet{http://mi.mathnet.ru/sjvm401}
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  • https://www.mathnet.ru/eng/sjvm401
  • https://www.mathnet.ru/eng/sjvm/v4/i3/p281
    • This publication is cited in the following 3 articles:
    1. A. S. Popov, “Cubature formulas on the sphere that are invariant under the transformations of the dihedral group of rotations D4”, Sib. elektron. matem. izv., 17 (2020), 964–970  mathnet  crossref
    2. A. S. Popov, “The cubature formulas on a sphere invariant to the icosahedral group of rotations with inversion”, Num. Anal. Appl., 10:4 (2017), 339–346  mathnet  crossref  crossref  isi  elib
    3. A. S. Popov, “Poisk nailuchshikh kubaturnykh formul dlya sfery, invariantnykh otnositelno gruppy vraschenii oktaedra”, Sib. zhurn. vychisl. matem., 5:4 (2002), 367–372  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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