Geodesic
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/}
}
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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/