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], 2018, Volume 15, Pages 389–396
DOI: https://doi.org/10.17377/semi.2018.15.035 (Mi semr926) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Computational mathematics

Cubature formulas on a sphere invariant under the dihedral group of rotations with inversion $\mathrm{D}_{5d}$

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrent'eva, 6, 630090, Novosibirsk, Russia
Full-text PDF (142 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.17377/semi.2018.15.035
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 D5d 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.
Received February 2, 2018, published April 16, 2018
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 of rotations with inversion $\mathrm{D}_{5d}$”, Sib. Èlektron. Mat. Izv., 15 (2018), 389–396
Citation in format AMSBIB
\Bibitem{Pop18}
\by A.~S.~Popov
\paper Cubature formulas on a sphere invariant under the dihedral group of rotations with inversion $\mathrm{D}_{5d}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 389--396
\mathnet{http://mi.mathnet.ru/semr926}
\crossref{https://doi.org/10.17377/semi.2018.15.035}
Linking options:
  • https://www.mathnet.ru/eng/semr926
  • https://www.mathnet.ru/eng/semr/v15/p389
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:230
    Full-text PDF :41
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024