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Sibirskii Zhurnal Industrial'noi Matematiki, 2009, Volume 12, Number 3, Pages 130–140 (Mi sjim574)  
This article is cited in 6 scientific papers (total in 6 papers)

On the Order Optimality of a Method for Evaluating Unbounded Operators and Its Applications

V. P. Tanana, A. I. Sidikova

Southern Ural State University, Chelyabinsk
Full-text PDF (239 kB) Citations (6)
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Abstract: We propose an order optimal method for approximate solving the problem of calculating the values of unbounded operators in various spaces.
Keywords: inverse problem, regularization, parabolic equation, Fourier transform, unbounded operator, Hilbert space.
Received: 17.12.2007
Revised: 12.08.2008
English version:
Journal of Applied and Industrial Mathematics, 2010, Volume 4, Issue 4, Pages 560–569
DOI: https://doi.org/10.1134/S1990478910040113
Bibliographic databases:
UDC: 517.948
Language: Russian
Citation: V. P. Tanana, A. I. Sidikova, “On the Order Optimality of a Method for Evaluating Unbounded Operators and Its Applications”, Sib. Zh. Ind. Mat., 12:3 (2009), 130–140; J. Appl. Industr. Math., 4:4 (2010), 560–569
Citation in format AMSBIB
\Bibitem{TanSid09}
\by V.~P.~Tanana, A.~I.~Sidikova
\paper On the Order Optimality of a~Method for Evaluating Unbounded Operators and Its Applications
\jour Sib. Zh. Ind. Mat.
\yr 2009
\vol 12
\issue 3
\pages 130--140
\mathnet{http://mi.mathnet.ru/sjim574}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668791}
\transl
\jour J. Appl. Industr. Math.
\yr 2010
\vol 4
\issue 4
\pages 560--569
\crossref{https://doi.org/10.1134/S1990478910040113}
Linking options:
  • https://www.mathnet.ru/eng/sjim574
  • https://www.mathnet.ru/eng/sjim/v12/i3/p130
    • This publication is cited in the following 6 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. Sidikova A.I., “Ob odnoi pereopredelennoi zadache teplovoi diagnostiki”, Vestnik Yuzhno-Uralskogo gosudarstvennogo universiteta. Seriya: Kompyuternye tekhnologii, upravlenie, radioelektronika, 2011, no. 23, 43–48  elib
    3. V. P. Tanana, A. I. Sidikova, “O garantirovannoi otsenke tochnosti priblizhennogo resheniya odnoi obratnoi zadachi teplovoi diagnostiki”, Tr. IMM UrO RAN, 16, no. 2, 2010, 238–252  mathnet  elib
    4. V. P. Tanana, “An order-optimal method for solving an inverse problem for a parabolic equation”, Num. Anal. Appl., 3:4 (2010), 367–380  mathnet  crossref
    5. Sidikova A.I., “O priblizhennom reshenii odnoi obratnoi zadachi teplovoi diagnostiki”, Sistemy upravleniya i informatsionnye tekhnologii, 2010, no. 1.1(39), 187–190  elib
    6. Sidikova A.I., “O priblizhennom reshenii obratnoi granichnoi zadachi dlya parabolicheskogo uravneniya”, Informatsionnye tekhnologii modelirovaniya i upravleniya, 2009, no. 7, 931–937  elib
    Citing articles in Google Scholar: Russian citations, English citations
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