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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.
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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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http://mi.mathnet.ru/eng/timm565 http://mi.mathnet.ru/eng/timm/v16/i2/p238
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:
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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
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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
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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
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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
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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
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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
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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
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V. P. Tanana, “O svedenii obratnoi granichnoi zadachi
k posledovatelnomu resheniyu
dvukh nekorrektnykh zadach”, Sib. zhurn. vychisl. matem., 23:2 (2020), 219–232
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