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

  • Ilia N. Medvedev EMAIL logo and Gennadii A. Mikhailov
Published/Copyright: June 4, 2020

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.

MSC 2010: 65C05

Acknowledgment

The authors are grateful to O. G. Zavarzina for help in formatting the text of the paper.

  1. Funding: The work was supported by the Russian Foundation for Basic Research (project No. 18–01–00356-a).

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Received: 2020-03-17
Accepted: 2020-03-26
Published Online: 2020-06-04
Published in Print: 2020-06-25

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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