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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 5, Pages 1088–1097 (Mi zvmmf4494)  
This article is cited in 1 scientific paper (total in 1 paper)

Some methods of solving the first boundary value problem for the biharmonic difference equation

M. M. Karchevskii

Kazan'
Full-text PDF (1041 kB) Citations (1)
Abstract: An iterative method is given for solving the Dirichlet problem for the biharwonic difference equation in a rectangular domain requiring $O(h^{-2}\ln\varepsilon^{-1})$ arithmetic operations. In the case of a circular domain, a direct method is discribed, requiring $O(h^{-2}\ln h^{-1})$ operations.
Received: 02.10.1981
Revised: 21.06.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 5, Pages 41–47
DOI: https://doi.org/10.1016/S0041-5553(83)80155-4
Bibliographic databases:
Document Type: Article
UDC: 519.632
MSC: Primary 65N22; Secondary 65F10, 31A30, 35J40
Language: Russian
Citation: M. M. Karchevskii, “Some methods of solving the first boundary value problem for the biharmonic difference equation”, Zh. Vychisl. Mat. Mat. Fiz., 23:5 (1983), 1088–1097; U.S.S.R. Comput. Math. Math. Phys., 23:5 (1983), 41–47
Citation in format AMSBIB
\Bibitem{Kar83}
\by M.~M.~Karchevskii
\paper Some methods of solving the first boundary value problem for the biharmonic difference equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 5
\pages 1088--1097
\mathnet{http://mi.mathnet.ru/zvmmf4494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=721786}
\zmath{https://zbmath.org/?q=an:0533.65068}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 5
\pages 41--47
\crossref{https://doi.org/10.1016/S0041-5553(83)80155-4}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i5/p1088
    • This publication is cited in the following 1 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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