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Dal'nevostochnyi Matematicheskii Zhurnal, 2024, Volume 24, Number 1, Pages 33–44
DOI: https://doi.org/10.47910/FEMJ202404 (Mi dvmg529) 		 
On selecting free path length sampling method for solving the non-stationary radiation transport equation using graphic accelerators

M. A. Donskayaa, I. P. Yarovenkoab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202404
Abstract: The paper considers the issues of mathematical modeling of the non-stationary transfer of X-ray radiation. We describe the process using an initial-boundary problem for the radiation transfer equation, which is solved by the weighted Monte Carlo method. The implementation of the method proposed using parallel calculations on graphic processor units (GPU) is discussed.
Key words: radiative transfer equation, maximum crossection method, Monte Carlo methods, parallel computing.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00459-24-00
075-02-2023-946
The work was carried out within the framework of the state assignment of the Institute of Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences (No. 075-00459-24-00) and with financial support supported by the Ministry of Education and Science of the Russian Federation (No. 075-02-2023-946).
Received: 25.01.2024
Accepted: 24.05.2024
Document Type: Article
UDC: 517.958
MSC: Primary 35Q20; Secondary 35Q60
Language: Russian
Citation: M. A. Donskaya, I. P. Yarovenko, “On selecting free path length sampling method for solving the non-stationary radiation transport equation using graphic accelerators”, Dal'nevost. Mat. Zh., 24:1 (2024), 33–44
Citation in format AMSBIB
\Bibitem{DonYar24}
\by M.~A.~Donskaya, I.~P.~Yarovenko
\paper On selecting free path length sampling method for solving the non-stationary radiation transport equation using graphic accelerators
\jour Dal'nevost. Mat. Zh.
\yr 2024
\vol 24
\issue 1
\pages 33--44
\mathnet{http://mi.mathnet.ru/dvmg529}
\crossref{https://doi.org/10.47910/FEMJ202404}
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