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Matematicheskoe modelirovanie, 1997, Volume 9, Number 5, Pages 119–127 (Mi mm1420)  
This article is cited in 24 scientific papers (total in 24 papers)

Computational methods and algorithms

Iterative solution of a retrospective inverse problem of heat conduction

A. A. Samarskiia, P. N. Vabishchevicha, V. l. Vasilievb

a Institute for Mathematical Modelling, Russian Academy of Sciences
b Yakutsk State University
Full-text PDF (732 kB) Citations (24)
Abstract: A problem with inverse time for a parabolic equation is considered. To solve it approximately, an iterative method for a more precise definition of the initial conditions is employed. Problems of selection of iterative parameters as well as operators of transition to a new iteration are considered. Examples of predictions of a model problem with random errors in the input data are provided.
Received: 06.02.1996
Bibliographic databases:
UDC: 519.63
Language: Russian
Citation: A. A. Samarskii, P. N. Vabishchevich, V. l. Vasiliev, “Iterative solution of a retrospective inverse problem of heat conduction”, Matem. Mod., 9:5 (1997), 119–127
Citation in format AMSBIB
\Bibitem{SamVabVas97}
\by A.~A.~Samarskii, P.~N.~Vabishchevich, V.~l.~Vasiliev
\paper Iterative solution of a~retrospective inverse problem of heat conduction
\jour Matem. Mod.
\yr 1997
\vol 9
\issue 5
\pages 119--127
\mathnet{http://mi.mathnet.ru/mm1420}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1473370}
\zmath{https://zbmath.org/?q=an:1071.80505}
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  • https://www.mathnet.ru/eng/mm/v9/i5/p119
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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