V. P. Tanana, A. B. Bredikhina, T. S. Kamaltdinova, “On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 281

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 281–288 (Mi timm797)

This article is cited in 9 scientific papers (total in 9 papers)

On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions

V. P. Tanana, A. B. Bredikhina, T. S. Kamaltdinova

South Ural State University

Full-text PDF (152 kB) Citations (9)

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Abstract: An inverse Cauchy problem is solved by the nonlinear projection regularization method under the assumption that the required solution is smooth.

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

Received: 16.04.2011

Bibliographic databases:

Document Type: Article

UDC: 517.948

Language: Russian

Citation: V. P. Tanana, A. B. Bredikhina, T. S. Kamaltdinova, “On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 281–288

Citation in format AMSBIB

\Bibitem{TanBreKam12}

\by V.~P.~Tanana, A.~B.~Bredikhina, T.~S.~Kamaltdinova

\paper On an error estimate for an approximate solution for an inverse problem in the class of piecewise smooth functions

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2012

\vol 18

\issue 1

\pages 281--288

\mathnet{http://mi.mathnet.ru/timm797}

\elib{https://elibrary.ru/item.asp?id=17358696}

Linking options:

https://www.mathnet.ru/eng/timm797

https://www.mathnet.ru/eng/timm/v18/i1/p281

This publication is cited in the following 9 articles:

A. I. Sidikova, “The study of an inverse boundary problem for the heat conduction equation”, Num. Anal. Appl., 12:1 (2019), 70–86
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
Tanana V.R., “A Comparison of Error Estimates At a Point and on a Set When Solving Ill-Posed Problems”, J. Inverse Ill-Posed Probl., 26:4 (2018), 541–550
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
E. V. Tabarintseva, “O reshenii odnoi obratnoi zadachi dlya nelineinogo differentsialnogo uravneniya v klasse kusochno-gladkikh funktsii”, Sib. elektron. matem. izv., 14 (2017), 199–209
V. P. Tanana, “One approach to the comparison of error bounds at a point and on a set in the solution of ill-posed problems”, Proc. Steklov Inst. Math. (Suppl.), 301, suppl. 1 (2018), 155–163
Tanana V.P., Kamaltdinova T.S., “Ob otsenke pogreshnosti v tochke pri reshenii obratnykh zadach”, Vestnik yuzhno-uralskogo gosudarstvennogo universiteta. seriya: vychislitelnaya matematika i informatika, 2:1 (2013), 90–95
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
V. P. Tanana, T. S. Kamaltdinova, “Ob otsenke pogreshnosti v tochke pri reshenii obratnykh zadach”, Vestn. YuUrGU. Ser. Vych. matem. inform., 2:1 (2013), 90–95

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

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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