Mathematical model of the polarized radiation transfer
Matematičeskoe modelirovanie, Tome 10 (1998) no. 7, pp. 61-75
T. A. Sushkevich; S. A. Strelkov; S. V. Maksakova. Mathematical model of the polarized radiation transfer. Matematičeskoe modelirovanie, Tome 10 (1998) no. 7, pp. 61-75. http://geodesic.mathdoc.fr/item/MM_1998_10_7_a5/
@article{MM_1998_10_7_a5,
     author = {T. A. Sushkevich and S. A. Strelkov and S. V. Maksakova},
     title = {Mathematical model of the polarized radiation transfer},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {61--75},
     year = {1998},
     volume = {10},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_7_a5/}
}
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The general vectorial boundary-value problem for kinetic equation to describe the polarized radiation transfer in a plane layer with a horizontally nonhomogeneous anisotropically reflecting underlying surface is not solved by the finite differences methods. Mathematical model giving an asymptotically accurate solution of this problem in the slow rise functions class has been proposed and justified. The new model has been stated by the influence functions and spatial-frequence characteristics method. This is effective for the algorithm with the parallel computing.