Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 42–45
DOI: https://doi.org/10.31857/S2686954322010106 (Mi danma236) 		 
MATHEMATICS

Comparative analysis of various numerically statistical projection algorithms for the solving the transfer theory problems

G. A. Mikhailovab, A. S. Kordaa, S. V. Rogazinskiiab

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.31857/S2686954322010106
Abstract: A comparative analysis of various variants of the Monte Carlo projective algorithm for estimating the particles flow through a layer of medium with scattering of the Henyey–Greenstein type is carried out. The possibility of minimizing the mean-square error by equalizing the corresponding stochastic and deterministic terms is investigated.
Keywords: Monte Carlo method, projection estimator, mean-square error, collision estimator, direct simulation, Laguerre polynomials, Henyey–Greenstein indicatrix.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0251-2021-0002
This work was performed at the Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the Russian Academy of Sciences within state assignment no. 0251-2021-0002.
Received: 29.10.2021
Revised: 29.10.2021
Accepted: 20.12.2021
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 35–38
DOI: https://doi.org/10.1134/S1064562422010100
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: G. A. Mikhailov, A. S. Korda, S. V. Rogazinskii, “Comparative analysis of various numerically statistical projection algorithms for the solving the transfer theory problems”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 42–45; Dokl. Math., 105:1 (2022), 35–38
Citation in format AMSBIB
\Bibitem{MikChiRog22}
\by G.~A.~Mikhailov, A.~S.~Korda, S.~V.~Rogazinskii
\paper Comparative analysis of various numerically statistical projection algorithms for the solving the transfer theory problems
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 502
\pages 42--45
\mathnet{http://mi.mathnet.ru/danma236}
\crossref{https://doi.org/10.31857/S2686954322010106}
\elib{https://elibrary.ru/item.asp?id=48050925}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 1
\pages 35--38
\crossref{https://doi.org/10.1134/S1064562422010100}
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