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Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer. / Medvedev, Ilia N.

24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. ed. / Oleg A. Romanovskii; Gennadii G. Matvienko. SPIE-INT SOC OPTICAL ENGINEERING, 2018. 1083327 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10833).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Medvedev, IN 2018, Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer. in OA Romanovskii & GG Matvienko (eds), 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics., 1083327, Proceedings of SPIE - The International Society for Optical Engineering, vol. 10833, SPIE-INT SOC OPTICAL ENGINEERING, 24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics, Tomsk, Russian Federation, 02.07.2018. https://doi.org/10.1117/12.2504483

APA

Medvedev, I. N. (2018). Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer. In O. A. Romanovskii, & G. G. Matvienko (Eds.), 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics [1083327] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10833). SPIE-INT SOC OPTICAL ENGINEERING. https://doi.org/10.1117/12.2504483

Vancouver

Medvedev IN. Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer. In Romanovskii OA, Matvienko GG, editors, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. SPIE-INT SOC OPTICAL ENGINEERING. 2018. 1083327. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2504483

Author

Medvedev, Ilia N. / Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer. 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. editor / Oleg A. Romanovskii ; Gennadii G. Matvienko. SPIE-INT SOC OPTICAL ENGINEERING, 2018. (Proceedings of SPIE - The International Society for Optical Engineering).

BibTeX

@inproceedings{fdc91352a4c345b7a1e25e4320711dd9,
title = "Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer",
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 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",
keywords = "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",
author = "Medvedev, {Ilia N.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1117/12.2504483",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE-INT SOC OPTICAL ENGINEERING",
editor = "Romanovskii, {Oleg A.} and Matvienko, {Gennadii G.}",
booktitle = "24th International Symposium on Atmospheric and Ocean Optics",
note = "24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics ; Conference date: 02-07-2018 Through 05-07-2018",

}

RIS

TY - GEN

T1 - Effective algorithms of statistical simulation with additional branching for solving the problems of the theory of radiation transfer

AU - Medvedev, Ilia N.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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

AB - 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

KW - system of linear integral equations of the second kind

KW - multiple scattering

KW - vector weight estimator

KW - matrix weight

KW - weight method of similar trajectories (weighted method of correlated sampling)

KW - branching of Markov chain trajectory

KW - finite computation cost

KW - transfer of polarized radiation

UR - http://www.scopus.com/inward/record.url?scp=85061104620&partnerID=8YFLogxK

U2 - 10.1117/12.2504483

DO - 10.1117/12.2504483

M3 - Conference contribution

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - 24th International Symposium on Atmospheric and Ocean Optics

A2 - Romanovskii, Oleg A.

A2 - Matvienko, Gennadii G.

PB - SPIE-INT SOC OPTICAL ENGINEERING

T2 - 24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics

Y2 - 2 July 2018 through 5 July 2018

ER -

ID: 18648487