Theoretical and Numerical Analysis of an Initial-Boundary Value Problem for the Radiative Transfer Equation with Fresnel Matching Conditions

被引：4

作者：

Kim, A. ^{[1
,2
]}

Prokhorov, I. V. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Far Eastern Branch, Inst Appl Math, Vladivostok 690041, Russia

[2] Far Eastern Fed Univ, Vladivostok 690050, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

integro-differential equations; time-dependent equations; Cauchy problem; Fresnel matching conditions; Monte Carlo methods; GENERALIZED CONJUGATION CONDITIONS; TRANSPORT-THEORY; CAUCHY-PROBLEM; SCATTERING; SIMULATION;

D O I：

10.1134/S0965542518050135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Cauchy problem for the time-dependent radiative transfer equation in a three-dimensional multicomponent medium with generalized matching conditions describing Fresnel reflection and refraction at the interface of the media is considered. The unique solvability of the problem is proven, a Monte Carlo method for solving the initial-boundary value problem is developed, and computational experiments for different implementations of the algorithm are conducted.

引用

页码：735 / 749

页数：15

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