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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 8, Pages 1480–1490
DOI: https://doi.org/10.7868/S0044466916080123 (Mi zvmmf10443) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Modified splitting method for solving the nonstationary kinetic particle transport equation

N. Ya. Moiseev, V. M. Shmakov

All-Russia Research Institute of Technical Physics, Russian Federal Nuclear Center, Snezhinsk, Chelyabinsk oblast, Russia
Full-text PDF (352 kB) Citations (2)
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DOI: https://doi.org/10.7868/S0044466916080123
Abstract: A modified splitting method for solving the nonstationary kinetic equation of particle (neutron) transport without iteration with respect to the collision integral is proposed. According to the modification, the solutions of the first-stage integrodifferential equations and the collision integrals are found using analytical rather than finite-difference methods. The solution method is naturally extended to multidimensional problems and is well suited for massive parallelism.
Key words: discrete ordinate method, kinetic neutron transport equation, Godunov method, splitting method, Monte Carlo method.
Received: 12.05.2015
Revised: 10.11.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 8, Pages 1464–1473
DOI: https://doi.org/10.1134/S096554251608011X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. Ya. Moiseev, V. M. Shmakov, “Modified splitting method for solving the nonstationary kinetic particle transport equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016), 1480–1490; Comput. Math. Math. Phys., 56:8 (2016), 1464–1473
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf10443
  • https://www.mathnet.ru/eng/zvmmf/v56/i8/p1480
    • This publication is cited in the following 2 articles:
    1. N. Ya. Moiseev, V. M. Shmakov, “Discrete-analytical difference scheme for solving the nonstationary particle transport equation by the splitting method”, Comput. Math. Math. Phys., 62:7 (2022), 1171–1179  mathnet  mathnet  crossref  crossref
    2. N. Ya. Moiseev, “Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations”, Comput. Math. Math. Phys., 57:2 (2017), 306–317  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:240
    Full-text PDF :68
    References:61
    First page:10
     
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