Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 42–45
DOI: https://doi.org/10.31857/S2686954322010106 (Mi danma236) 		 
MATHEMATICS

Comparative analysis of various numerically statistical projection algorithms for the solving the transfer theory problems

G. A. Mikhailovab, A. S. Kordaa, S. V. Rogazinskiiab

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954322010106
Abstract: A comparative analysis of various variants of the Monte Carlo projective algorithm for estimating the particles flow through a layer of medium with scattering of the Henyey–Greenstein type is carried out. The possibility of minimizing the mean-square error by equalizing the corresponding stochastic and deterministic terms is investigated.
Keywords: Monte Carlo method, projection estimator, mean-square error, collision estimator, direct simulation, Laguerre polynomials, Henyey–Greenstein indicatrix.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0251-2021-0002
This work was performed at the Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the Russian Academy of Sciences within state assignment no. 0251-2021-0002.
Received: 29.10.2021
Revised: 29.10.2021
Accepted: 20.12.2021
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 35–38
DOI: https://doi.org/10.1134/S1064562422010100
Bibliographic databases:
Document Type: Article
UDC: 519.642
Language: Russian
Citation: G. A. Mikhailov, A. S. Korda, S. V. Rogazinskii, “Comparative analysis of various numerically statistical projection algorithms for the solving the transfer theory problems”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 42–45; Dokl. Math., 105:1 (2022), 35–38
Citation in format AMSBIB
\Bibitem{MikChiRog22}
\by G.~A.~Mikhailov, A.~S.~Korda, S.~V.~Rogazinskii
\paper Comparative analysis of various numerically statistical projection algorithms for the solving the transfer theory problems
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 502
\pages 42--45
\mathnet{http://mi.mathnet.ru/danma236}
\crossref{https://doi.org/10.31857/S2686954322010106}
\elib{https://elibrary.ru/item.asp?id=48050925}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 1
\pages 35--38
\crossref{https://doi.org/10.1134/S1064562422010100}
Linking options:
  • https://www.mathnet.ru/eng/danma236
  • https://www.mathnet.ru/eng/danma/v502/p42
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024