Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer

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Weighted Monte Carlo algorithms for estimation of linear functionals of set of solutions of 2nd kind integral equations and systems of the 2nd kind integral equations are studied. A universal modi fications of the weight collision estimator with branching of the chain trajectory relative to the elements of scalar or matrix weight are constructed. It is proved that the computational cost of the constructed algorithms is finite in the case when the basic functionals are bounded. The results of numerical calculations are presented for the case of use of a modi fied weight estimator for some problems of the radiation transfer theory with allowance for polarization

Original languageEnglish
Title of host publication24th International Symposium on Atmospheric and Ocean Optics
Subtitle of host publicationAtmospheric Physics
EditorsOleg A. Romanovskii, Gennadii G. Matvienko
Number of pages8
ISBN (Electronic)9781510622913
Publication statusPublished - 1 Jan 2018
Event24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics - Tomsk, Russian Federation
Duration: 2 Jul 20185 Jul 2018

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


Conference24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics
CountryRussian Federation


  • system of linear integral equations of the second kind
  • multiple scattering
  • vector weight estimator
  • matrix weight
  • weight method of similar trajectories (weighted method of correlated sampling)
  • branching of Markov chain trajectory
  • finite computation cost
  • transfer of polarized radiation

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