Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
On the Efficiency of an Exponential Transformation Method for Solving Stochastic Problems of Gamma-Ray Transport Theory. / Medvedev, I. N.
в: Numerical Analysis and Applications, Том 14, № 4, 10.2021, стр. 372-378.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On the Efficiency of an Exponential Transformation Method for Solving Stochastic Problems of Gamma-Ray Transport Theory
AU - Medvedev, I. N.
N1 - Funding Information: This work was performed within the framework of the budget project no. 0251-2021-0002 of the Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the Russian Academy of Sciences. Publisher Copyright: © 2021, Pleiades Publishing, Ltd.
PY - 2021/10
Y1 - 2021/10
N2 - This paper presents algorithms of exponential transformation (biasing) and its randomized modification with branching of a Markov chain trajectory for solving problems of gamma-ray transport in an inhomogeneous medium. The algorithms are applied to the maximum (majorant) cross-section method (Woodcock tracking), which is efficient for simulation in an inhomogeneous medium. Using, as an example, gamma-ray transport through a thick water slab containing a random number of air or Al balls, a numerical study of the above algorithms in comparison with the standard simulation algorithm is performed.
AB - This paper presents algorithms of exponential transformation (biasing) and its randomized modification with branching of a Markov chain trajectory for solving problems of gamma-ray transport in an inhomogeneous medium. The algorithms are applied to the maximum (majorant) cross-section method (Woodcock tracking), which is efficient for simulation in an inhomogeneous medium. Using, as an example, gamma-ray transport through a thick water slab containing a random number of air or Al balls, a numerical study of the above algorithms in comparison with the standard simulation algorithm is performed.
KW - computation cost
KW - exponential transformation algorithm
KW - gamma radiation transfer
KW - majorant cross-section method (Woodcock tracking)
KW - stochastic medium
KW - trajectory branching of Markov chain
KW - variance of weighted estimator
UR - http://www.scopus.com/inward/record.url?scp=85119855919&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/a735bf04-77cd-3221-8441-76338573f681/
U2 - 10.1134/S1995423921040066
DO - 10.1134/S1995423921040066
M3 - Article
AN - SCOPUS:85119855919
VL - 14
SP - 372
EP - 378
JO - Numerical Analysis and Applications
JF - Numerical Analysis and Applications
SN - 1995-4239
IS - 4
ER -
ID: 34856115