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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 174, Pages 12–19
DOI: https://doi.org/10.36535/0233-6723-2020-174-12-19 (Mi into564) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On discrete boundary-value problems and their approximation properties

V. B. Vasilev (Vasilyev), O. A. Tarasova

National Research University "Belgorod State University"
Full-text PDF (208 kB) Citations (3)
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DOI: https://doi.org/10.36535/0233-6723-2020-174-12-19
Abstract: Discrete analogs of pseudo-differential operators and equations in discrete Sobolev–Slobodetsky spaces are considered. Using suitable discrete boundary conditions, we prove the unique solvability of the discrete boundary-value problem.
Keywords: discrete pseudo-differential operator, discrete boundary-value problem, solvability, approximation, periodic factorization, error estimate.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 1.7311.2017/8.9
This work was supported by the Ministry of Education and Science of the Russian Federation (project No. 1.7311.2017/8.9).
Bibliographic databases:
Document Type: Article
UDC: 517.954, 517.983.5
MSC: 35S15, 65N06
Language: Russian
Citation: V. B. Vasilev (Vasilyev), O. A. Tarasova, “On discrete boundary-value problems and their approximation properties”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 174, VINITI, Moscow, 2020, 12–19
Citation in format AMSBIB
\Bibitem{VasTar20}
\by V.~B.~Vasilev~(Vasilyev), O.~A.~Tarasova
\paper On discrete boundary-value problems and their approximation properties
\inbook Geometry and Mechanics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 174
\pages 12--19
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into564}
\crossref{https://doi.org/10.36535/0233-6723-2020-174-12-19}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4150657}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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