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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 11, Pages 1661–1674 (Mi zvmmf3174)  
This article is cited in 4 scientific papers (total in 4 papers)

A method for the numerical solution of integral equations in boundary value problems with finite-order Abelian symmetry groups

E. V. Zakharov, S. I. Safronov, R. P. Tarasov

Moscow
Full-text PDF (1350 kB) Citations (4)
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Abstract: It is shown that for boundary value problems with commutative finite-order symmetry groups it is possible to use the concepts of convolution and the Fourier transform for finite groups to reduce considerably the order of the matrix equations used to approximate the original integral equations, and thus to extend the range of problems amenable to numerical analysis. An implementation of this method is considered for boundary value problems with Abelian symmetry group of eighth order, describing a quadrupole-type system. Results of a numerical experiment are presented for this case, enabling the efficiency of the method to be estimated.
Received: 10.04.1990
Revised: 23.05.1990
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 6, Pages 44–53
DOI: https://doi.org/10.1016/0041-5553(90)90107-4
Bibliographic databases:
Document Type: Article
UDC: 519.642
MSC: Primary 65N38; Secondary 65R20, 65J10, 47N40
Language: Russian
Citation: E. V. Zakharov, S. I. Safronov, R. P. Tarasov, “A method for the numerical solution of integral equations in boundary value problems with finite-order Abelian symmetry groups”, Zh. Vychisl. Mat. Mat. Fiz., 30:11 (1990), 1661–1674; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 44–53
Citation in format AMSBIB
\Bibitem{ZakSafTar90}
\by E.~V.~Zakharov, S.~I.~Safronov, R.~P.~Tarasov
\paper A method for the numerical solution of integral equations in boundary value problems with finite-order Abelian symmetry groups
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 11
\pages 1661--1674
\mathnet{http://mi.mathnet.ru/zvmmf3174}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1093449}
\zmath{https://zbmath.org/?q=an:0719.65079}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 6
\pages 44--53
\crossref{https://doi.org/10.1016/0041-5553(90)90107-4}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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