The use of similar trajectories in Monte Carlo computations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 238-242
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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.
@article{ZVMMF_1979_19_1_a23,
author = {I. M. Sobol' and Yu. A. Petrov},
title = {The~use of similar trajectories in {Monte} {Carlo} computations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {238--242},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a23/}
}
TY - JOUR AU - I. M. Sobol' AU - Yu. A. Petrov TI - The use of similar trajectories in Monte Carlo computations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 238 EP - 242 VL - 19 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a23/ LA - ru ID - ZVMMF_1979_19_1_a23 ER -
%0 Journal Article %A I. M. Sobol' %A Yu. A. Petrov %T The use of similar trajectories in Monte Carlo computations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 238-242 %V 19 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a23/ %G ru %F ZVMMF_1979_19_1_a23
I. M. Sobol'; Yu. A. Petrov. The use of similar trajectories in Monte Carlo computations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 238-242. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a23/