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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 9, Pages 1545–1555
DOI: https://doi.org/10.31857/S0044466921090064 (Mi zvmmf11294) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Mathematical physics

On the particle method for electrons in an inhomogeneous scattering medium

A. V. Berezin, M. B. Markov, S. V. Parot'kin

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
Citations (7)
DOI: https://doi.org/10.31857/S0044466921090064
Abstract: A Cauchy problem for the kinetic and electrodynamic equations describing the self-consistent electromagnetic field of an electron beam propagating in a medium with discontinuous scattering properties and electrophysical characteristics is considered. An interpretation of the generalized solution as a particle method for the numerical solution of the kinetic equation in a self-consistent field is presented. An approach to the numerical solution based on smoothing the coefficients of the kinetic equation and considering its solution in the class of compactly supported generalized functions is proposed.
Key words: electron, kinetic equation, electromagnetic field, generalized function, Dirac measure.
Received: 11.02.2020
Revised: 11.02.2020
Accepted: 11.04.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 9, Pages 1521–1531
DOI: https://doi.org/10.1134/S0965542521090050
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: A. V. Berezin, M. B. Markov, S. V. Parot'kin, “On the particle method for electrons in an inhomogeneous scattering medium”, Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021), 1545–1555; Comput. Math. Math. Phys., 61:9 (2021), 1521–1531
Citation in format AMSBIB
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    • This publication is cited in the following 7 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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