Matrix Approach to Modelling of Polarized Radiation Transfer in Heterogeneous Systems

The general vector boundary-value problem for the integro-differential kinetic Boltzmann equation, which describes the polarized radiation transfer in a heterogeneous plane layer with a horizontally non-homogeneous and anisotropically reflective boundary, cannot be solved by the finite-difference me...

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Bibliographic Details
Published inMatrix Methods: Theory, Algorithms And Applications pp. 557 - 578
Main Authors Sushkevich, T. A., Strelkov, S. A., Maksakova, S. V.
Format Book Chapter
LanguageEnglish
Published WORLD SCIENTIFIC 01.04.2010
Subjects
Matrices and Applications
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ISBN9812836020
9789812836014
9812836012
9814469556
9789812836021
9789814469555
DOI10.1142/9789812836021_0038

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Summary:The general vector boundary-value problem for the integro-differential kinetic Boltzmann equation, which describes the polarized radiation transfer in a heterogeneous plane layer with a horizontally non-homogeneous and anisotropically reflective boundary, cannot be solved by the finite-difference methods. A mathematical model is proposed and justified that gives an asymptotically exact solution of the boundary-value problem in the class of the functions of slow growth. The new model is constructed by the influence function method and is efficient for algorithms using parallel computing.
ISBN:9812836020
9789812836014
9812836012
9814469556
9789812836021
9789814469555
DOI:10.1142/9789812836021_0038