TY - JOUR

T1 - Randomized exponential transformation algorithm for solving the stochastic problems of gamma-ray transport theory

AU - Medvedev, Ilia N.

AU - Mikhailov, Gennadii A.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - The paper presents a new algorithm of exponential transformation and its randomized modification with branching of a Markov chain trajectory for solving the problem of gamma-ray transport. Based on the example of radiation transfer in water, numerical study of presented algorithms is performed in comparison with standard simulation algorithms. The study of the influence of medium stochasticity on the probability of gamma-quanta passing through a thick layer of the substance is also carried out.

AB - The paper presents a new algorithm of exponential transformation and its randomized modification with branching of a Markov chain trajectory for solving the problem of gamma-ray transport. Based on the example of radiation transfer in water, numerical study of presented algorithms is performed in comparison with standard simulation algorithms. The study of the influence of medium stochasticity on the probability of gamma-quanta passing through a thick layer of the substance is also carried out.

KW - computational costs

KW - Exponential transformation algorithm

KW - gamma-ray transport

KW - Poisson ensemble

KW - stochastic medium maximum cross-section method

KW - weight estimator variance

UR - http://www.scopus.com/inward/record.url?scp=85090838153&partnerID=8YFLogxK

U2 - 10.1515/rnam-2020-0012

DO - 10.1515/rnam-2020-0012

M3 - Article

AN - SCOPUS:85090838153

VL - 35

SP - 153

EP - 162

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 3

ER -