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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 1, Pages 238–242 (Mi zvmmf5418)  
Scientific communications

The use of similar trajectories in Monte Carlo computations

I. M. Sobol', Yu. A. Petrov

Moskva
Full-text PDF (457 kB) (1)
Abstract: The method of similar trajectories permits the radiation spectra for a series of geometrically similar problems to be estimated at the same time. A family of spheres with sources at the centre is considered. It is proved that coefficients of similitude considerably exceeding unity can be used, privided that the optical radius of the basic sphere does not exceed some critical value. On further increasing the radius of the basic sphere the set of permissible coefficients of similitude shrinks rapidly.
Received: 04.01.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 1, Pages 246–252
DOI: https://doi.org/10.1016/0041-5553(79)90084-3
Bibliographic databases:
Document Type: Article
UDC: 519.676
MSC: Primary 65C05; Secondary 82B99, 82B05
Language: Russian
Citation: I. M. Sobol', Yu. A. Petrov, “The use of similar trajectories in Monte Carlo computations”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 238–242; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 246–252
Citation in format AMSBIB
\Bibitem{SobPet79}
\by I.~M.~Sobol', Yu.~A.~Petrov
\paper The~use of similar trajectories in Monte Carlo computations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 1
\pages 238--242
\mathnet{http://mi.mathnet.ru/zvmmf5418}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525483}
\zmath{https://zbmath.org/?q=an:0412.65003}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 1
\pages 246--252
\crossref{https://doi.org/10.1016/0041-5553(79)90084-3}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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