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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 7, Pages 1211–1218 (Mi zvmmf439)  
This article is cited in 3 scientific papers (total in 3 papers)

Cubature formulas for a disk that are invariant under groups of transformations of regular polygons into themselves

È. A. Shamsiev

Tashkent State Technical University, Universitetskaya ul. 2, Tashkent, 700095, Uzbekistan
Full-text PDF (776 kB) Citations (3)
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Abstract: A method for constructing cubature formulas of different degrees of accuracy that are invariant under the groups of transformations of regular polygons into themselves is proposed. The cubature sum can contain powers of the Laplace operator applied to the integrand at the origin.
Key words: cubature formula for disk, invariant $m$-gon, transformation group of regular polygons, nodes calculation.
Received: 27.10.2004
Revised: 16.01.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 7, Pages 1147–1154
DOI: https://doi.org/10.1134/S0965542506070050
Bibliographic databases:
Document Type: Article
UDC: 519.644.7
Language: Russian
Citation: È. A. Shamsiev, “Cubature formulas for a disk that are invariant under groups of transformations of regular polygons into themselves”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006), 1211–1218; Comput. Math. Math. Phys., 46:7 (2006), 1147–1154
Citation in format AMSBIB
\Bibitem{Sha06}
\by \`E.~A.~Shamsiev
\paper Cubature formulas for a~disk that are invariant under groups of transformations of regular polygons into themselves
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 7
\pages 1211--1218
\mathnet{http://mi.mathnet.ru/zvmmf439}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500577}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 7
\pages 1147--1154
\crossref{https://doi.org/10.1134/S0965542506070050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746727587}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i7/p1211
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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