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This article is cited in 3 scientific papers (total in 3 papers)
An order-optimal method for solving an inverse problem for a parabolic equation
V. P. Tanana Southern Ural State University, Chelyabinsk
Abstract:
An order-optimal method for solving an inverse problem for a parabolic equation with a variable coefficient is proposed.
Key words:
operator equations, regularization, optimal method, error estimation, ill-posed problem.
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English version:
Numerical Analysis and Applications, 2010, 3:4, 367–380
UDC:
517.948 Received: 31.05.2007 Revised: 15.01.2010
Citation:
V. P. Tanana, “An order-optimal method for solving an inverse problem for a parabolic equation”, Sib. Zh. Vychisl. Mat., 13:4 (2010), 451–465; Num. Anal. Appl., 3:4 (2010), 367–380
Citation in format AMSBIB
\Bibitem{Tan10}
\by V.~P.~Tanana
\paper An order-optimal method for solving an inverse problem for a~parabolic equation
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 4
\pages 451--465
\mathnet{http://mi.mathnet.ru/sjvm419}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 4
\pages 367--380
\crossref{https://doi.org/10.1134/S1995423910040087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650404369}
Linking options:
http://mi.mathnet.ru/eng/sjvm419 http://mi.mathnet.ru/eng/sjvm/v13/i4/p451
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A. S. Kutuzov, “Optimalnaya po poryadku otsenka priblizhennogo resheniya odnoi granichnoi obratnoi zadachi dlya uravneniya teploprovodnosti s peremennym koeffitsientom”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 2011, no. 9, 22–31
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N. M. Yaparova, “Chislennyi metod resheniya obratnoi zadachi s neizvestnymi nachalnymi usloviyami dlya nelineinogo parabolicheskogo uravneniya”, Vestn. YuUrGU. Ser. Vych. matem. inform., 5:2 (2016), 43–58
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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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