The cauchy problem for the radiative transfer equation with generalized conjugation conditions

The initial boundary problem for the nonstationary radiative transfer equation in a nonhomogeneous plane layer with generalized conjugation conditions on the material interface is studied. A generalized Monte Carlo algorithm is proposed for solving the problem, and numerical experiments are discusse...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2013-05, Vol.53 (5), p.588-600
Main Author: Prokhorov, I. V.
Format: Article
Language:English
Subjects:
Algorithms
Applied mathematics
Boundaries
Boundary conditions
Boundary value problems
Cauchy problem
Cauchy problems
Computational mathematics
Computational Mathematics and Numerical Analysis
Conjugation
Gamma rays
Geometry
Interfaces
Laplace transforms
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Monte Carlo methods
Monte Carlo simulation
Radiation
Radiative transfer
Studies
Theorems
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Summary:The initial boundary problem for the nonstationary radiative transfer equation in a nonhomogeneous plane layer with generalized conjugation conditions on the material interface is studied. A generalized Monte Carlo algorithm is proposed for solving the problem, and numerical experiments are discussed.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542513050114