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

Ilia N. Medvedev

doi:10.1117/12.2504483

13 December 2018 Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer

Ilia N. Medvedev

Author Affiliations +

Proceedings Volume 10833, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics; 1083327 (2018) https://doi.org/10.1117/12.2504483
Event: XXIV International Symposium, Atmospheric and Ocean Optics, Atmospheric Physics, 2018, Tomsk, Russian Federation

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.

Citation Download Citation

Ilia N. Medvedev "Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer", Proc. SPIE 10833, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 1083327 (13 December 2018); https://doi.org/10.1117/12.2504483

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available