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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 5, Pages 762–777
DOI: https://doi.org/10.7868/S0044466918050071 (Mi zvmmf10735) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions

A. Kimab, I. V. Prokhorovab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
b Far Eastern Federal University, Vladivostok, Russia
Citations (9)
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DOI: https://doi.org/10.7868/S0044466918050071
Abstract: A Cauchy problem for the time-dependent radiative transfer equation in a three-dimensional multicomponent medium with generalized matching conditions describing Fresnel reflection and refraction at the interface of the media is considered. The unique solvability of the problem is proven, a Monte Carlo method for solving the initial-boundary value problem is developed, and computational experiments for different implementations of the algorithm are conducted.
Key words: integro-differential equations, time-dependent equations, Cauchy problem, Fresnel matching conditions, Monte Carlo methods.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received: 07.08.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 5, Pages 735–749
DOI: https://doi.org/10.1134/S0965542518050135
Bibliographic databases:
Document Type: Article
UDC: 519.635
Language: Russian
Citation: A. Kim, I. V. Prokhorov, “Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions”, Zh. Vychisl. Mat. Mat. Fiz., 58:5 (2018), 762–777; Comput. Math. Math. Phys., 58:5 (2018), 735–749
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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