About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 425-434
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The paper presents the algorithm of exponential transformation (biasing) and its randomized modification with branching of a Markov chain trajectory for solving the problems of gamma-ray transport in an inhomogeneous medium. These algorithms were applied to a maximum (majorant) cross-section method or the Woodcock tracking which is extremely efficient for the simulation in an inhomogeneous medium. On an example of gamma-ray transport through a thick water slab containing a random amount of air or Al balls, the numerical study of the above algorithms in comparison with the standard simulation algorithm is performed.
@article{SJVM_2021_24_4_a6,
author = {I. N. Medvedev},
title = {About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {425--434},
publisher = {mathdoc},
volume = {24},
number = {4},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a6/}
}
TY - JOUR AU - I. N. Medvedev TI - About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2021 SP - 425 EP - 434 VL - 24 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a6/ LA - ru ID - SJVM_2021_24_4_a6 ER -
%0 Journal Article %A I. N. Medvedev %T About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2021 %P 425-434 %V 24 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a6/ %G ru %F SJVM_2021_24_4_a6
I. N. Medvedev. About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 4, pp. 425-434. http://geodesic.mathdoc.fr/item/SJVM_2021_24_4_a6/