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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 3, Pages 401–406 (Mi zvmmf511)  

This article is cited in 13 scientific papers (total in 15 papers)

Numerical stability of a method for transferring boundary conditions

A. A. Abramov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
References:
Abstract: It is proved that a previously proposed method for transferring boundary conditions as applied to a boundary value problem for a linear system of ordinary differential equations gives numerically stable results if this problem is stable with respect to small variations in the input data.
Key words: linear system of ordinary differential equations, boundary value problem, transfer of boundary conditions, numerical stability.
Received: 03.10.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 3, Pages 382–387
DOI: https://doi.org/10.1134/S0965542506030055
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: A. A. Abramov, “Numerical stability of a method for transferring boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 401–406; Comput. Math. Math. Phys., 46:3 (2006), 382–387
Citation in format AMSBIB
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\by A.~A.~Abramov
\paper Numerical stability of a~method for transferring boundary conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 3
\pages 401--406
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260297}
\zmath{https://zbmath.org/?q=an:05200912}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 3
\pages 382--387
\crossref{https://doi.org/10.1134/S0965542506030055}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746078788}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i3/p401
  • This publication is cited in the following 15 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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    References:53
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