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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122, Pages 216–227
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-216-227 (Mi vtamu72) 		 
On digital approximations for pseudo-differential equations and related boundary value problems

V. B. Vasil'ev (Vasilyev)

Belgorod State National Research University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-122-216-227
Abstract: We consider a discrete version of pseudo-differential operators as a first stage for constructing approximate methods of solving pseudo-differential equations and their numerical realization. For this purpose we introduce the classes of periodic symbols and discrete operators, study a solvability of corresponding discrete equations and suggest some computations algorithms.
Keywords: digital pseudo-differential operator, discrete equation, approximate solution.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.7311.2017/8.9
This work was supported by the State contract of the Russian Ministry of Education and Science (contract No 1.7311.2017/8.9).
Received: 27.03.2018
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: V. B. Vasil'ev (Vasilyev), “On digital approximations for pseudo-differential equations and related boundary value problems”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 216–227
Citation in format AMSBIB
\Bibitem{Vas18}
\by V.~B.~Vasil'ev~(Vasilyev)
\paper On digital approximations for pseudo-differential equations and related boundary value problems
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 122
\pages 216--227
\mathnet{http://mi.mathnet.ru/vtamu72}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-122-216-227}
\elib{https://elibrary.ru/item.asp?id=35213529}
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