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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 44–55 (Mi zvmmf5423)  

This article is cited in 3 scientific papers (total in 3 papers)

Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints

A. V. Lotov

Moskva
Abstract: We prove the convergence of the sets of attainability of multi-step problems to the sets of attainability of linear differential systems with phase constraints, for a wide class of schemes for approximating differential equations by multi-step equations, and approximating convex phase constraints by polyhedral constraints.
Received: 05.09.1977
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 44–56
DOI: https://doi.org/10.1016/0041-5553(79)90065-X
Bibliographic databases:
Document Type: Article
UDC: 519, 517.977.55
MSC: Primary 93B03; Secondary 93B40, 93C15
Language: Russian
Citation: A. V. Lotov, “Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 44–55; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 44–56
Citation in format AMSBIB
\Bibitem{Lot79}
\by A.~V.~Lotov
\paper Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 44--55
\mathnet{http://mi.mathnet.ru/zvmmf5423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525465}
\zmath{https://zbmath.org/?q=an:0415.49026}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 44--56
\crossref{https://doi.org/10.1016/0041-5553(79)90065-X}
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  • https://www.mathnet.ru/eng/zvmmf/v19/i1/p44
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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