V. P. Tanana, N. M. Yaparova, “The optimum in order method of solving conditionally-correct problems”, Sib. Zh. Vychisl. Mat., 9:4 (2006), 353

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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2006, Volume 9, Number 4, Pages 353–368 (Mi sjvm127)

This article is cited in 10 scientific papers (total in 10 papers)

The optimum in order method of solving conditionally-correct problems

V. P. Tanana^a, N. M. Yaparova^b

^a Chelyabinsk State University
^b Southern Ural State University

Full-text PDF (243 kB) Citations (10)

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Abstract: Necessary and sufficient conditions, which ensure sets of the Banach spaces to be classes of correctness are obtained. The concept of solution method of conditional-correct problem is given. The quantitative characteristic of its accuracy on an appropriate class of correctness is determined. The obtained results are used for solving one inverse problem of solid-state physics.

Key words: the operational equation, classes of correctness, the optimum in the order, accuracy of solution method.

Received: 16.07.2004
Revised: 13.12.2005

UDC: 517.948

Language: Russian

Citation: V. P. Tanana, N. M. Yaparova, “The optimum in order method of solving conditionally-correct problems”, Sib. Zh. Vychisl. Mat., 9:4 (2006), 353–368

Citation in format AMSBIB

\Bibitem{TanYap06}

\by V.~P.~Tanana, N.~M.~Yaparova

\paper The optimum in order method of solving conditionally-correct problems

\jour Sib. Zh. Vychisl. Mat.

\yr 2006

\vol 9

\issue 4

\pages 353--368

\mathnet{http://mi.mathnet.ru/sjvm127}

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https://www.mathnet.ru/eng/sjvm/v9/i4/p353

This publication is cited in the following 10 articles:

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
N. M. Yaparova, “Chislennoe modelirovanie reshenii obratnoi granichnoi zadachi teploprovodnosti”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 6:3 (2013), 112–124
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, A. A. Erygina, “Ob otsenke pogreshnosti priblizhennogo resheniya odnoi obratnoi zadachi fiziki tverdogo tela”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 5:2 (2013), 72–78
V. P. Tanana, A. B. Bredikhina, T. S. Kamaltdinova, “Ob otsenke pogreshnosti priblizhennogo resheniya odnoi obratnoi zadachi v klasse kusochno-gladkikh funktsii”, Tr. IMM UrO RAN, 18, no. 1, 2012, 281–288
N. M. Yaparova, “O razlichnykh podkhodakh k resheniyu obratnykh granichnykh zadach teplovoi diagnostiki”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 7, 60–67
A. B. Bredikhina, “Nelineinyi metod proektsionnoi regulyarizatsii”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 2011, no. 10, 4–11
T. S. Kamaltdinova, “Ob otsenke pogreshnosti nelineinogo metoda proektsionnoi regulyarizatsii pri uslovii kusochnoi gladkosti resheniya”, Vestn. Yuzhno-Ur. un-ta. Ser. Matem. Mekh. Fiz., 2011, no. 5, 23–26
V. P. Tanana, A. I. Sidikova, “On the Order Optimality of a Method for Evaluating Unbounded Operators and Its Applications”, J. Appl. Industr. Math., 4:4 (2010), 560–569
Tanana V.P., Kolesnikova N.Yu., “Ob optimalnom metode resheniya odnoi obratnoi zadachi teplovoi diagnostiki”, Vestn. Yuzhno-Uralskogo gos. un-ta. Ser.: Matematika. Fizika. Khimiya, 91:19 (2007), 48–54

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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