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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 3, Pages 466–470 (Mi zvmmf3299)  
This article is cited in 1 scientific paper (total in 1 paper)

Scientific communications

Formulas for the approximate calculation of integrals over the whole plane

A. K. Ponomarenko

Leningrad
Full-text PDF (453 kB) Citations (1)
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Abstract: Cubature formulas with $4s+1$ and $4s-1$ nodes, which have the $(4s-1)$ property and $(4s-3)$ property, respectively, are constructed for the approximate evaluation of an integral over a plane. The nodes of the formulas are common zeros of certain orthogonal polynomials.
Received: 11.11.1987
Revised: 22.11.1988
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 2, Pages 86–89
DOI: https://doi.org/10.1016/0041-5553(90)90081-3
Bibliographic databases:
Document Type: Article
UDC: 519.644.7
MSC: Primary 65D32; Secondary 41A55, 41A63
Language: Russian
Citation: A. K. Ponomarenko, “Formulas for the approximate calculation of integrals over the whole plane”, Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990), 466–470; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 86–89
Citation in format AMSBIB
\Bibitem{Pon90}
\by A.~K.~Ponomarenko
\paper Formulas for the approximate calculation of integrals over the whole plane
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 3
\pages 466--470
\mathnet{http://mi.mathnet.ru/zvmmf3299}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1051417}
\zmath{https://zbmath.org/?q=an:0698.65017}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 2
\pages 86--89
\crossref{https://doi.org/10.1016/0041-5553(90)90081-3}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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