Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 2 scientific papers (total in 2 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 (2)
References:
PDF
HTML
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
\Bibitem{Pop20}
\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}
Linking options:
  • https://www.mathnet.ru/eng/semr1265
  • https://www.mathnet.ru/eng/semr/v17/p964
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:152
    Full-text PDF :30
    References:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024