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Trudy Inst. Mat. i Mekh. UrO RAN, 2010, Volume 16, Number 2, Pages 238–252 (Mi timm565)  

This article is cited in 8 scientific papers (total in 8 papers)

On the guaranteed accuracy estimate of an approximate solution of one inverse problem of thermal diagnostics

V. P. Tanana, A. I. Sidikova

Southern Ural State University

Abstract: An order-optimal method of the approximate solution of the problem of calculating the values of an unbounded operator is suggested.

Keywords: operator equations, regularization, optimal method, error estimate, ill-posed problem.

Full text: PDF file (187 kB)
References: PDF file   HTML file
UDC: 517.948
Received: 10.12.2009

Citation: V. P. Tanana, A. I. Sidikova, “On the guaranteed accuracy estimate of an approximate solution of one inverse problem of thermal diagnostics”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 238–252

Citation in format AMSBIB
\Bibitem{TanSid10}
\by V.~P.~Tanana, A.~I.~Sidikova
\paper On the guaranteed accuracy estimate of an approximate solution of one inverse problem of thermal diagnostics
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 2
\pages 238--252
\mathnet{http://mi.mathnet.ru/timm565}
\elib{https://elibrary.ru/item.asp?id=14809460}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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
    2. A. I. Sidikova, “Ob otsenke tochnosti priblizhennogo resheniya obratnoi granichnoi zadachi dlya parabolicheskogo uravneniya”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 6:2 (2013), 74–87  mathnet
    3. T. S. Kamaltdinova, “Priblizhennoe reshenie obratnoi granichnoi zadachi dlya uravneniya teploprovodnosti nelineinym metodom proektsionnoi regulyarizatsii”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 5:1 (2013), 26–33  mathnet
    4. A. I. Sidikova, S. I. Belkov, “Ravnomernoe priblizhenie granichnogo usloviya v obratnoi zadache teplovoi diagnostiki”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 6:1 (2014), 36–41  mathnet
    5. A. I. Sidikova, “O priblizhennom reshenii odnoi obratnoi granichnoi zadachi metodom regulyarizovannogo resheniya konechnomernoi approksimatsii”, Tr. IMM UrO RAN, 23, no. 2, 2017, 210–219  mathnet  crossref  elib
    6. V. P. Tanana, A. A. Ershova, “O reshenii obratnoi granichnoi zadachi dlya kompozitnykh materialov”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:4 (2018), 474–488  mathnet  crossref  elib
    7. Tanana V.P. Sidikova I A., “On Improving An Error Estimate For a Nonlinear Projective Regularization Method When Solving An Inverse Boundary Value Problem”, Eurasian J. Math. Comput. Appl., 6:3 (2018), 53–74  crossref  isi
    8. V. P. Tanana, “O svedenii obratnoi granichnoi zadachi k posledovatelnomu resheniyu dvukh nekorrektnykh zadach”, Sib. zhurn. vychisl. matem., 23:2 (2020), 219–232  mathnet  crossref
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