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Matematicheskoe modelirovanie, 2000, Volume 12, Number 11, Pages 102–114 (Mi mm1037)  

This article is cited in 1 scientific paper (total in 1 paper)

Computational methods and algorithms

The numerical algorithm construction for the vector Zakharov system with damping

A. D. Yunakovsky, É. M. Sher

Institute of Applied Physics, Russian Academy of Sciences
Abstract: The paper presents a new algorithm to solve the Zakharov system with damping. The numerical code based on the split-operator with respect to physical processes is suggested. The truncated Schrödinger equation included into the system, is used as a predictor on the first stage of a scheme step. It is shown that this predictor makes it possible to calculate the module of the solution on each step with enough accuracy. The phase correction is perfomed by the same operator exponential method using just determined module. The suggested method is illustrated through the example of turbulent solution of the system beyond the point of maximum, corresponding to the collapse situation in the system without damping.
Received: 05.05.1999
Bibliographic databases:
Language: Russian
Citation: A. D. Yunakovsky, É. M. Sher, “The numerical algorithm construction for the vector Zakharov system with damping”, Matem. Mod., 12:11 (2000), 102–114
Citation in format AMSBIB
\Bibitem{YunShe00}
\by A.~D.~Yunakovsky, \'E.~M.~Sher
\paper The numerical algorithm construction for the vector Zakharov system with damping
\jour Matem. Mod.
\yr 2000
\vol 12
\issue 11
\pages 102--114
\mathnet{http://mi.mathnet.ru/mm1037}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1836302}
\zmath{https://zbmath.org/?q=an:1091.76540}
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  • https://www.mathnet.ru/eng/mm/v12/i11/p102
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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