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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 1, Pages 89–100 (Mi sjvm270)  
This article is cited in 4 scientific papers (total in 4 papers)

An error estimation of an approximate solution of one inverse problem of thermal diagnostics

V. P. Tanana, M. G. Bulatova

Southern Ural State University, Chelyabinsk
Full-text PDF (201 kB) Citations (4)
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Abstract: In thermal diagnostics of rocket engines [1], it is necessary to take into account the physical properties of composite materials used. This brings about the solution to inverse boundary value problems for the parabolic equation with discontinuity coefficients. High requirements imposed upon the accuracy of approximate solutions of the given class of problems make it possible to obtain error estimations of the methods used.
Key words: optimal method, operator equations, regularization.
Received: 26.01.2007
Revised: 20.04.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 1, Pages 71–81
DOI: https://doi.org/10.1134/S1995423910010088
Bibliographic databases:
Document Type: Article
UDC: 517.948
Language: Russian
Citation: V. P. Tanana, M. G. Bulatova, “An error estimation of an approximate solution of one inverse problem of thermal diagnostics”, Sib. Zh. Vychisl. Mat., 13:1 (2010), 89–100; Num. Anal. Appl., 3:1 (2010), 71–81
Citation in format AMSBIB
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\by V.~P.~Tanana, M.~G.~Bulatova
\paper An error estimation of an approximate solution of one inverse problem of thermal diagnostics
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 1
\pages 89--100
\mathnet{http://mi.mathnet.ru/sjvm270}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 1
\pages 71--81
\crossref{https://doi.org/10.1134/S1995423910010088}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952212718}
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  • https://www.mathnet.ru/eng/sjvm/v13/i1/p89
    • This publication is cited in the following 4 articles:
    1. Tabarintseva E.V., 2018 Global Smart Industry Conference (Glosic), IEEE, 2018  isi
    2. E.V. Tabarintseva, 2018 Global Smart Industry Conference (GloSIC), 2018, 1  crossref
    3. V. P. Tanana, I. A. Gainova, A. I. Sidikova, “Ob otsenke pogreshnosti priblizhennogo resheniya odnoi pereopredelennoi obratnoi zadachi teplovoi diagnostiki”, Sib. zhurn. industr. matem., 15:1 (2012), 145–154  mathnet  mathscinet
    4. V. P. Tanana, “An order-optimal method for solving an inverse problem for a parabolic equation”, Num. Anal. Appl., 3:4 (2010), 367–380  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    Full-text PDF :138
    References:80
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