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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 3, Pages 743–748 (Mi zvmmf4532)  
Scientific communications

Explicit method of numerical solution of a problem of light wave propagation in nonlinear media

A. G. Vasil'kov, Yu. K. Danileiko, T. P. Lebedeva, M. F. Romanov

Moscow
Full-text PDF (796 kB)
Abstract: A method for the numerical solution of problems of the propagation of axially-symmetric beams in media with a positive cubic non-linearity in the framework of a parabolic equation is discussed. For such problems it is established by a numerical experiment that only the use of a moving Lagrangian mesh leads to the stability of explicit methods of numerical solution. The influence of the boundary conditions on the solution of such problems is examined. The scheme proposed can be used for multidimensional problems.
Received: 28.10.1980
Revised: 23.07.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 3, Pages 146–150
DOI: https://doi.org/10.1016/S0041-5553(83)80116-5
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.958
Language: Russian
Citation: A. G. Vasil'kov, Yu. K. Danileiko, T. P. Lebedeva, M. F. Romanov, “Explicit method of numerical solution of a problem of light wave propagation in nonlinear media”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983), 743–748; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 146–150
Citation in format AMSBIB
\Bibitem{VasDanLeb83}
\by A.~G.~Vasil'kov, Yu.~K.~Danileiko, T.~P.~Lebedeva, M.~F.~Romanov
\paper Explicit method of numerical solution of a problem of light wave propagation in nonlinear media
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 3
\pages 743--748
\mathnet{http://mi.mathnet.ru/zvmmf4532}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=706897}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 3
\pages 146--150
\crossref{https://doi.org/10.1016/S0041-5553(83)80116-5}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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