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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 965–972 (Mi zvmmf5574)  
The use of piecewise exponential functions in transport theory

A. V. Kondrashenko

Moscow
Full-text PDF (854 kB)
Abstract: A method for the numerical integration of one-dimensional radiation transport equations for lasers is proposed, based on the search for their approximate solutions as continuous piecewise exponential functions. By this method, using only a few (2–3) space points, the energy characteristics of certain types of lasers, can be found with acceptable accuracy. These lasers include, in particular, those in which the pumping is independent of the space variable and is a function of time only.
Received: 09.06.1981
Revised: 19.11.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 123–128
DOI: https://doi.org/10.1016/S0041-5553(83)80140-2
Bibliographic databases:
Document Type: Article
UDC: 517.958:536.71
Language: Russian
Citation: A. V. Kondrashenko, “The use of piecewise exponential functions in transport theory”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 965–972; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 123–128
Citation in format AMSBIB
\Bibitem{Kon83}
\by A.~V.~Kondrashenko
\paper The use of piecewise exponential functions in transport theory
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 965--972
\mathnet{http://mi.mathnet.ru/zvmmf5574}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717026}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 123--128
\crossref{https://doi.org/10.1016/S0041-5553(83)80140-2}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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