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Zh. Vychisl. Mat. Mat. Fiz., 1990, Volume 30, Number 4, Pages 557–569 (Mi zvmmf3281)  
On the solvability of plane-parallel problems in the theory of radiation transport

Yu. V. Knyazikhin

Tartu

Abstract: Numerical sequences are constructed for a fundamental problem in transport theory which converge to the largest eigenvalue with respect to an excess and a deficiency. Problems of the solvability of general boundary-value problems in plane-parallel geometry are studied on the basis of these results. The technique of the theory of operators which are positive with respect to a cone is used.

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English version:
USSR Computational Mathematics and Mathematical Physics, 1990, 30:2, 145–154

Bibliographic databases:

UDC: 517.958:536.71
MSC: Primary 45K05; Secondary 45C05, 82C70, 85A25
Received: 22.03.1989
Revised: 23.08.1989

Citation: Yu. V. Knyazikhin, “On the solvability of plane-parallel problems in the theory of radiation transport”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990), 557–569; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 145–154

Citation in format AMSBIB
\Bibitem{Kny90}
\by Yu.~V.~Knyazikhin
\paper On the solvability of plane-parallel problems in the theory of radiation transport
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 4
\pages 557--569
\mathnet{http://mi.mathnet.ru/zvmmf3281}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1055818}
\zmath{https://zbmath.org/?q=an:0751.45004}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 2
\pages 145--154
\crossref{https://doi.org/10.1016/0041-5553(90)90090-F}


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    		• Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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