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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 8, Pages 1210–1223 (Mi zvmmf3220)  
A numerical method for solving the radiation transport equation in planar and spherical geometry

V. I. Gryn', A. I. Marchenko, V. V. Urban

Mocsow, Minsk
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Abstract: 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.
Received: 21.12.1987
Revised: 16.08.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 172–181
DOI: https://doi.org/10.1016/0041-5553(90)90060-6
Bibliographic databases:
Document Type: Article
UDC: 519.6:536.71
MSC: Primary 65R20; Secondary 45K05, 85A25, 82C70
Language: Russian
Citation: V. I. Gryn', A. I. Marchenko, V. V. Urban, “A numerical method for solving the radiation transport equation in planar and spherical geometry”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990), 1210–1223; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 172–181
Citation in format AMSBIB
\Bibitem{GryMarUrb90}
\by V.~I.~Gryn', A.~I.~Marchenko, V.~V.~Urban
\paper A~numerical method for solving the radiation transport equation in planar and spherical geometry
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 8
\pages 1210--1223
\mathnet{http://mi.mathnet.ru/zvmmf3220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1074166}
\zmath{https://zbmath.org/?q=an:0716.65127}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 172--181
\crossref{https://doi.org/10.1016/0041-5553(90)90060-6}
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