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Numerical methods and programming, 2012, Volume 13, Issue 1, Pages 139–148 (Mi vmp15)  

Вычислительные методы и приложения

On approximate open boundary conditions and their performance over long time intervals

A. R. Maikov

M. V. Lomonosov Moscow State University, Faculty of Physics
Abstract: The implementation of approximate open boundary conditions for the Klein–Gordon equation is discussed for the case of an initial-boundary problem on the quarter plane. The proposed approach is proved to provide high accuracy, however long the time interval of numerical modeling. A number of numerical experiments illustrate the effectiveness of this approach.
Keywords: Klein–Gordon equation; initial boundary value problem on an unbounded domain; open boundary conditions; time-domain radiation boundary conditions.
Received: 26.12.2011
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. R. Maikov, “On approximate open boundary conditions and their performance over long time intervals”, Num. Meth. Prog., 13:1 (2012), 139–148
Citation in format AMSBIB
\Bibitem{Mai12}
\by A.~R.~Maikov
\paper On approximate open boundary conditions and their performance over long time intervals
\jour Num. Meth. Prog.
\yr 2012
\vol 13
\issue 1
\pages 139--148
\mathnet{http://mi.mathnet.ru/vmp15}
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  • https://www.mathnet.ru/eng/vmp/v13/i1/p139
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