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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 11, Pages 1900–1910
DOI: https://doi.org/10.31857/S004446690003541-6 (Mi zvmmf10846) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Monte Carlo methods for estimating the probability distributions of criticality parameters of particle transport in a randomly perturbed medium

G. A. Mikhailovab, G. Z. Lotovaab

a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S004446690003541-6
Abstract: Parallelizable Monte Carlo algorithms are developed for estimating the probability moments of criticality parameters for transport of particles with multiplication in a random medium. For this purpose, new iterative estimates of the multiplication factor and recurrence representations of statistical estimates of moments are constructed by applying the double randomization method and the randomized projection method. The practical efficiency of the proposed approaches is confirmed by test results obtained using special randomized homogenization with an improved diffusion approximation for a multilayered ball.
Key words: Monte Carlo method, statistical modeling, transport theory, effective particle multiplication factor.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00599_а
18-01-00356_а
17-01-00823_а
16-01-00530_а
16-01-00145_а
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 11, Pages 1828–1837
DOI: https://doi.org/10.1134/S0965542518110088
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: G. A. Mikhailov, G. Z. Lotova, “Monte Carlo methods for estimating the probability distributions of criticality parameters of particle transport in a randomly perturbed medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018), 1900–1910; Comput. Math. Math. Phys., 58:11 (2018), 1828–1837
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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