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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 7, Pages 1248–1263 (Mi zvmmf283)  
Analytical integration of the radiative transfer equation with respect to the mean free path in a problem with barrier geometry and a point source

S. N. Shelud'ko

Military unit 70170, ul. Novosel’kovskaya 39, St. Petersburg, 197349, Russia
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Abstract: For a problem with a point source located in an infinite homogeneous plane-parallel barrier, the terms of a Neumann series describing the solution to the radiative transfer equation are analytically integrated in part with respect to all the mean free paths.
Key words: radiative transfer equation, analytical integration, Neumann series.
Received: 16.03.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 7, Pages 1197–1212
DOI: https://doi.org/10.1134/S0965542507070111
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. N. Shelud'ko, “Analytical integration of the radiative transfer equation with respect to the mean free path in a problem with barrier geometry and a point source”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1248–1263; Comput. Math. Math. Phys., 47:7 (2007), 1197–1212
Citation in format AMSBIB
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\by S.~N.~Shelud'ko
\paper Analytical integration of the radiative transfer equation with respect to the mean free path in a~problem with barrier geometry and a~point source
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 7
\pages 1248--1263
\mathnet{http://mi.mathnet.ru/zvmmf283}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378144}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 7
\pages 1197--1212
\crossref{https://doi.org/10.1134/S0965542507070111}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547650651}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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