On the Efficiency of an Exponential Transformation Method for Solving Stochastic Problems of Gamma-Ray Transport Theory

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On the Efficiency of an Exponential Transformation Method for Solving Stochastic Problems of Gamma-Ray Transport Theory. / Medvedev, I. N.

In: Numerical Analysis and Applications, Vol. 14, No. 4, 10.2021, p. 372-378.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{242ac72d49e94184b09648ed22528feb,

title = "On the Efficiency of an Exponential Transformation Method for Solving Stochastic Problems of Gamma-Ray Transport Theory",

abstract = "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.",

keywords = "computation cost, exponential transformation algorithm, gamma radiation transfer, majorant cross-section method (Woodcock tracking), stochastic medium, trajectory branching of Markov chain, variance of weighted estimator",

author = "Medvedev, {I. N.}",

note = "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: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = oct,

doi = "10.1134/S1995423921040066",

language = "English",

volume = "14",

pages = "372--378",

journal = "Numerical Analysis and Applications",

issn = "1995-4239",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "4",

}

RIS

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