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], 2014, Volume 11, Pages 372–379 (Mi semr495)  
This article is cited in 5 scientific papers (total in 5 papers)

Computational mathematics

Cubature formulas on a sphere invariant under the tetrahedral group with inversion

A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (455 kB) Citations (5)
References:
PDF
HTML
Abstract: The unified algorithm of searching for the best (in a sense) cubature formulas on a sphere that are invariant under the tetrahedral group of rotations with inversion is described. This algorithm is applied to find parameters of all the best cubature formulas of this symmetry group up to the 41st order of accuracy.
Keywords: numerical integration, invariant cubature formulas, invariant polynomials, tetrahedral group of rotations.
Received February 17, 2014, published May 26, 2014
Document Type: Article
UDC: 519.644
MSC: 65D32
Language: Russian
Citation: A. S. Popov, “Cubature formulas on a sphere invariant under the tetrahedral group with inversion”, Sib. Èlektron. Mat. Izv., 11 (2014), 372–379
Citation in format AMSBIB
\Bibitem{Pop14}
\by A.~S.~Popov
\paper Cubature formulas on a sphere invariant under the tetrahedral group with inversion
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 372--379
\mathnet{http://mi.mathnet.ru/semr495}
Linking options:
  • https://www.mathnet.ru/eng/semr495
  • https://www.mathnet.ru/eng/semr/v11/p372
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024