A numerical method for solving the radiation transport equation in planar and spherical geometry
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1210-1223
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A computational scheme is proposed for the numerical solution of the stationary radiation transport equation ignoring scattering. It is proved that, at large optical thicknesses, the cosines and absorption coefficients averaged over the one-sided radiation intensities cannot be used in the zeroth approximation and it is necessary to use their first approximation.
@article{ZVMMF_1990_30_8_a8,
author = {V. I. Gryn' and A. I. Marchenko and V. V. Urban},
title = {A~numerical method for solving the radiation transport equation in planar and spherical geometry},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1210--1223},
publisher = {mathdoc},
volume = {30},
number = {8},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a8/}
}
TY - JOUR AU - V. I. Gryn' AU - A. I. Marchenko AU - V. V. Urban TI - A numerical method for solving the radiation transport equation in planar and spherical geometry JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 1210 EP - 1223 VL - 30 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a8/ LA - ru ID - ZVMMF_1990_30_8_a8 ER -
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V. I. Gryn'; A. I. Marchenko; V. V. Urban. A numerical method for solving the radiation transport equation in planar and spherical geometry. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1210-1223. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a8/