Computer Research and Modeling
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Computer Research and Modeling:
Year:
Volume:
Issue:
Page:
Find




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

Computer Research and Modeling, 2013, Volume 5, Issue 4, Pages 573–582
DOI: https://doi.org/10.20537/2076-7633-2013-5-4-573-582 (Mi crm418) 		 
This article is cited in 5 scientific papers (total in 5 papers)

NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

On the efficiency of the maximum cross section method in radiation transport theory

I. V. Prokhorova, A. S. Zhuplevb

a Institute of Applied Mathematics FEB RAS, 7 Radio St., Vladivostok, 690041, Russia
b Far Eastern Federal University, 8 Sukhanova St., Vladivostok, 690950, Russia
Full-text PDF (126 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.20537/2076-7633-2013-5-4-573-582
Abstract: We consider two versions of the maximum cross section method for the solutions of the stationary equation of radiative transfer in dimensional inhomogeneous medium. Both are based on the application Monte-Carlo method to the summation of the Neumann series for the solution transport equation. First modification is traditional and second is based on the use of branching Markov chains. We carried out numerical comparison of these algorithms.
Keywords: radiation transfer equation, Monte Carlo algorithms, maximum cross section method.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-98521
Ministry of Education and Science of the Russian Federation 16.740.11.0456
14.740.11.1000
Received: 12.04.2013
Revised: 27.05.2013
Document Type: Article
UDC: 519.8
Language: Russian
Citation: I. V. Prokhorov, A. S. Zhuplev, “On the efficiency of the maximum cross section method in radiation transport theory”, Computer Research and Modeling, 5:4 (2013), 573–582
Citation in format AMSBIB
\Bibitem{ProZhu13}
\by I.~V.~Prokhorov, A.~S.~Zhuplev
\paper On the efficiency of the maximum cross section method in radiation transport theory
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 4
\pages 573--582
\mathnet{http://mi.mathnet.ru/crm418}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-4-573-582}
Linking options:
  • https://www.mathnet.ru/eng/crm418
  • https://www.mathnet.ru/eng/crm/v5/i4/p573
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Research and Modeling
    Statistics & downloads:
    Abstract page:577
    Full-text PDF :67
    References:47
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024