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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 4, Pages 718–740 (Mi zvmmf675)  

This article is cited in 3 scientific papers (total in 3 papers)

Difference approximation of the problem of bending vibrations of a thin elastic plate

A. A. Kuleshov

Institute of Mathematical Modeling, Russian Academy of Sciences, pl. Miusskaya 4a, Moscow, 125047, Russia
References:
Abstract: The problem of bending vibrations of a thin elastic plate is considered. A difference method is proposed for solving the problem. The convergence of the solution of the difference problem to a generalized solution of the original differential problem is proved and the rate of convergence is estimated.
Key words: equation of vibrations of thin elastic plates, difference method, convergence to a generalized solution.
Received: 07.12.2004
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Kuleshov, “Difference approximation of the problem of bending vibrations of a thin elastic plate”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005), 718–740; Comput. Math. Math. Phys., 45:4 (2005), 694–715
Citation in format AMSBIB
\Bibitem{Kul05}
\by A.~A.~Kuleshov
\paper Difference approximation of the problem of bending vibrations of a thin elastic plate
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 4
\pages 718--740
\mathnet{http://mi.mathnet.ru/zvmmf675}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2162714}
\zmath{https://zbmath.org/?q=an:1091.74052}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 4
\pages 694--715
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  • https://www.mathnet.ru/eng/zvmmf/v45/i4/p718
  • 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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