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

Ilia N. Medvedev; Gennadii A. Mikhailov

doi:10.1515/rnam-2020-0012

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

Ilia N. Medvedev, Gennadii A. Mikhailov

Computational Mathematics Section

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

Abstract

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.

Original language	English
Pages (from-to)	153-162
Number of pages	10
Journal	Russian Journal of Numerical Analysis and Mathematical Modelling
Volume	35
Issue number	3
DOIs	https://doi.org/10.1515/rnam-2020-0012
Publication status	Published - 1 Jun 2020

Keywords

computational costs
Exponential transformation algorithm
gamma-ray transport
Poisson ensemble
stochastic medium maximum cross-section method
weight estimator variance

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10.1515/rnam-2020-0012

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KW - weight estimator variance

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