Markov Chain Monte Carlo solutions for radiative transfer problems

被引：3

作者：

von Waldenfels, W. ^{[1
,3
]}

Wehrse, R. ^{[2
,3
]}

Baschek, B. ^{[2
]}

机构：

[1] Inst Angew Math, D-69120 Heidelberg, Germany

[2] Inst Theoret Astrophys, ZAH, D-69120 Heidelberg, Germany

[3] Interdisziplinares Zentrum Wissenschaftliches Rec, D-19120 Heidelberg, Germany

来源：

ASTRONOMY & ASTROPHYSICS | 2011年 / 525卷

关键词：

radiative transfer; methods: numerical; methods: statistical; scattering; line: formation;

D O I：

10.1051/0004-6361/201014070

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Algorithms for the solution of the radiative transfer equation that are simultaneously accurate, fast, and easy to implement are still highly desirable, in particular for multidimensional media. We present a stochastic algorithm that solves the transfer equation by assuming that the transfer of radiation can be modelled as a Markov process. It is a generalization of the classical Monte Carlo method and can be applied to the solution of the Milne equation.

引用

页数：7

共 24 条

[1]

[Anonymous], 2001, Weighing the Odds

[2]

[Anonymous], Probability, Random Variables and Stochastic Processes

[3]

BASTIAN U, 1980, ASTRON ASTROPHYS, V86, P105

[4]

Cox D., 2017, The theory of stochastic processes

[5]

Diaconis P, 2009, B AM MATH SOC, V46, P179

[6] RADIATIVE-TRANSFER CALCULATED FROM A MARKOV-CHAIN FORMALISM [J].

ESPOSITO, LW ;

HOUSE, LL .

ASTROPHYSICAL JOURNAL, 1978, 219 (03) :1058-1067

[7]

FUHRER C, 1993, THESIS HEIDELBERG U

[8] Concerning the average mutual distance between points, which are represented in space with a common density [J].

Hertz, P .

MATHEMATISCHE ANNALEN, 1909, 67 :387-398

[9] Efficient Monte Carlo methods for continuum radiative transfer [J].

Juvela, M .

ASTRONOMY & ASTROPHYSICS, 2005, 440 (02) :531-U78

[10]

Liu J.S., 2001, Monte Carlo Strategies in Scientific Computing

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