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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 3, Pages 31–38
DOI: https://doi.org/10.17377/sibjim.2017.20.304
(Mi sjim966)
 

Analysis of the stochastic motion of a charged particle in a magnetic field by the Monte Carlo method on supercomputers

A. A. Ivanovab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Akad. Lavrentyev av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
References:
Abstract: We study the influence of random noises on the motion of a charged particle in a magnetic field using statistical modeling for solving the emerging stochastic differential equation. Numerical results of experiments are given. For the analysis of numerical solutions, we use the frequency characteristics that generalize an integral curve and the phase portrait.
Keywords: stochastic differential equation, cumulative frequency curve, frequency phase portrait, generalized Euler method, charged particle, magnetic field.
Received: 19.09.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 3, Pages 362–368
DOI: https://doi.org/10.1134/S1990478917030073
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: A. A. Ivanov, “Analysis of the stochastic motion of a charged particle in a magnetic field by the Monte Carlo method on supercomputers”, Sib. Zh. Ind. Mat., 20:3 (2017), 31–38; J. Appl. Industr. Math., 11:3 (2017), 362–368
Citation in format AMSBIB
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\by A.~A.~Ivanov
\paper Analysis of the stochastic motion of a~charged particle in a~magnetic field by the Monte Carlo method on supercomputers
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 3
\pages 31--38
\mathnet{http://mi.mathnet.ru/sjim966}
\crossref{https://doi.org/10.17377/sibjim.2017.20.304}
\elib{https://elibrary.ru/item.asp?id=29775042}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 3
\pages 362--368
\crossref{https://doi.org/10.1134/S1990478917030073}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028559223}
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    Сибирский журнал индустриальной математики
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