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Matematicheskie Zametki, 1997, Volume 61, Issue 5, Pages 734–741
DOI: https://doi.org/10.4213/mzm1555 (Mi mzm1555) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Invariant cubature formulas for the hyperoctahedron

S. B. Stoyanova

Technical University of Varna
Full-text PDF (150 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1555
Abstract: Cubature formulas for calculating integrals over the hyperoctahedron that are invariant under the group of all of its orthogonal transformations are obtained. Two of them are exact for all polynomials of degree no greater than seven and one is exact for all polynomials of degree no greater than five.
Received: 15.11.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 5, Pages 614–620
DOI: https://doi.org/10.1007/BF02355083
Bibliographic databases:
UDC: 512
Language: Russian
Citation: S. B. Stoyanova, “Invariant cubature formulas for the hyperoctahedron”, Mat. Zametki, 61:5 (1997), 734–741; Math. Notes, 61:5 (1997), 614–620
Citation in format AMSBIB
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\paper Invariant cubature formulas for the hyperoctahedron
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\yr 1997
\vol 61
\issue 5
\pages 734--741
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\zmath{https://zbmath.org/?q=an:0981.41018}
\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 5
\pages 614--620
\crossref{https://doi.org/10.1007/BF02355083}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997YE52200011}
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  • https://doi.org/10.4213/mzm1555
  • https://www.mathnet.ru/eng/mzm/v61/i5/p734
    • This publication is cited in the following 2 articles:
    1. Alexander Blech, Raoul M. M. Ebeling, Marec Heger, Christiane P. Koch, Daniel M. Reich, “Numerical evaluation of orientation averages and its application to molecular physics”, The Journal of Chemical Physics, 161:13 (2024)  crossref
    2. Stoyanova, SB, “Invariant cubature, formulae of the ninth degree of accuracy for the hyperoctahedron”, Journal of Computational and Applied Mathematics, 137:1 (2001), 135  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :178
    References:48
    First page:1
     
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