Abstract:
We consider two versions of the maximum cross section method for the solutions of the stationary equation of radiative transfer in dimensional inhomogeneous medium. Both are based on the application Monte-Carlo method to the summation of the Neumann series for the solution transport equation. First modification is traditional and second is based on the use of branching Markov chains. We carried out numerical comparison of these algorithms.
Keywords:
radiation transfer equation, Monte Carlo algorithms, maximum cross section method.
Citation:
I. V. Prokhorov, A. S. Zhuplev, “On the efficiency of the maximum cross section method in radiation transport theory”, Computer Research and Modeling, 5:4 (2013), 573–582
\Bibitem{ProZhu13}
\by I.~V.~Prokhorov, A.~S.~Zhuplev
\paper On the efficiency of the maximum cross section method in radiation transport theory
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 4
\pages 573--582
\mathnet{http://mi.mathnet.ru/crm418}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-4-573-582}
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https://www.mathnet.ru/eng/crm418
https://www.mathnet.ru/eng/crm/v5/i4/p573
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