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Proceedings Paper

Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer
Author(s): Ilia N. Medvedev
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Paper Abstract

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 modifications 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 modified weight estimator for some problems of the radiation transfer theory with allowance for polarization.

Paper Details

Date Published: 13 December 2018
PDF: 8 pages
Proc. SPIE 10833, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 1083327 (13 December 2018); doi: 10.1117/12.2504483
Show Author Affiliations
Ilia N. Medvedev, Institute of Computational Mathematics and Mathematical Geophysics (Russian Federation)

Published in SPIE Proceedings Vol. 10833:
24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics
Gennadii G. Matvienko; Oleg A. Romanovskii, Editor(s)

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