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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 4, Pages 557–569
(Mi zvmmf3281)
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This article is cited in 3 scientific papers (total in 3 papers)
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.
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
Linking options:
https://www.mathnet.ru/eng/zvmmf3281 https://www.mathnet.ru/eng/zvmmf/v30/i4/p557
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