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Matematicheskoe modelirovanie, 2000, Volume 12, Number 12, Pages 108–127 (Mi mm1047)  

This article is cited in 5 scientific papers (total in 6 papers)

Computational methods and algorithms

Nonreflecting artificial boundary conditions for change of omitted equations with lacunas

V. S. Ryaben'kii, V. I. Turchaninov, S. V. Tsynkov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Abstract: Artificial boundary conditions (ABC) are constracted which are equivalent to 3D-wave equation outside of unit sphere. The algorithm for using this ABC is also suggested. It demonstrates the ABC and algorithm are effective for calculations on long time. The ABC and algorithm are based on the method of difference potentials and lacunas of 3D-wave equation solutions.
Received: 12.09.2000
Bibliographic databases:
Language: Russian
Citation: V. S. Ryaben'kii, V. I. Turchaninov, S. V. Tsynkov, “Nonreflecting artificial boundary conditions for change of omitted equations with lacunas”, Mat. Model., 12:12 (2000), 108–127
Citation in format AMSBIB
\Bibitem{RyaTurTsy00}
\by V.~S.~Ryaben'kii, V.~I.~Turchaninov, S.~V.~Tsynkov
\paper Nonreflecting artificial boundary conditions for change of omitted equations with lacunas
\jour Mat. Model.
\yr 2000
\vol 12
\issue 12
\pages 108--127
\mathnet{http://mi.mathnet.ru/mm1047}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1833776}
\zmath{https://zbmath.org/?q=an:0988.65071}
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  • https://www.mathnet.ru/eng/mm/v12/i12/p108
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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