Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{KimPro18}
\by A.~Kim, I.~V.~Prokhorov
\paper Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2018
\vol 58
\issue 5
\pages 762--777
\mathnet{http://mi.mathnet.ru/zvmmf10735}
\crossref{https://doi.org/10.7868/S0044466918050071}
\elib{https://elibrary.ru/item.asp?id=34914371}
\transl
\jour Comput. Math. Math. Phys.
\yr 2018
\vol 58
\issue 5
\pages 735--749
\crossref{https://doi.org/10.1134/S0965542518050135}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000435404100008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85048623866}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10735
  • https://www.mathnet.ru/eng/zvmmf/v58/i5/p762
    • This publication is cited in the following 9 articles:
    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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024