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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 825–830 (Mi zvmmf4509)  
An accelerated method of computer calculation of a nonlinear oscillatory system

V. M. Belokonov, I. V. Belokonov, Yu. M. Zabolotnov

Kuibyshev
Full-text PDF (646 kB)
Abstract: A method is given for the fast computer evaluation of a system of ordinary differential equations, describing fast quasi-periodic motions. The initial system of equations is replaced by a transformed system, the fast integrated variables of which have increased periods of oscillation. The zero terms of the asymptotic expansions of the two systems are shown to be equal, thus ensuring exact evaluation of the variables of the initial system.
Received: 09.07.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 36–39
DOI: https://doi.org/10.1016/S0041-5553(83)80125-6
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: Primary 65L10; Secondary 70K40, 34C15, 34E15
Language: Russian
Citation: V. M. Belokonov, I. V. Belokonov, Yu. M. Zabolotnov, “An accelerated method of computer calculation of a nonlinear oscillatory system”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 825–830; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 36–39
Citation in format AMSBIB
\Bibitem{BelBelZab83}
\by V.~M.~Belokonov, I.~V.~Belokonov, Yu.~M.~Zabolotnov
\paper An accelerated method of computer calculation of a nonlinear oscillatory system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 825--830
\mathnet{http://mi.mathnet.ru/zvmmf4509}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=717011}
\zmath{https://zbmath.org/?q=an:0546.65059}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 36--39
\crossref{https://doi.org/10.1016/S0041-5553(83)80125-6}
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