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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 798–805 (Mi zvmmf4507)  
Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory

V. L. Burkovskaya, V. L. Makarov

Kiev
Full-text PDF (814 kB)
Abstract: The control of elliptic systems with solutions in class $W_2^2$ is considered. By means of the operators of exact difference schemes, schemes are constructed for which rate of convergence estimates of order $O(|h|^2)$ are established. Similar results are obtained for schemes of the method of straight lines, for the control of parabolic systems.
Received: 01.06.1981
Revised: 15.09.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 18–23
DOI: https://doi.org/10.1016/S0041-5553(83)80123-2
Bibliographic databases:
Document Type: Article
UDC: 519.63:517.977.56
MSC: Primary 65K10; Secondary 49K20
Language: Russian
Citation: V. L. Burkovskaya, V. L. Makarov, “Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 798–805; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 18–23
Citation in format AMSBIB
\Bibitem{BurMak83}
\by V.~L.~Burkovskaya, V.~L.~Makarov
\paper Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 798--805
\mathnet{http://mi.mathnet.ru/zvmmf4507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717009}
\zmath{https://zbmath.org/?q=an:0538.65038}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 18--23
\crossref{https://doi.org/10.1016/S0041-5553(83)80123-2}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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