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

Кафедра вычислительной математики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	153-162
Число страниц	10
Журнал	Russian Journal of Numerical Analysis and Mathematical Modelling
Том	35
Номер выпуска	3
DOI	https://doi.org/10.1515/rnam-2020-0012
Состояние	Опубликовано - 1 июн 2020

Доступ к документу

10.1515/rnam-2020-0012

Link to publication in Scopus

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Цитировать

Medvedev, I. N., & Mikhailov, G. A. (2020). Randomized exponential transformation algorithm for solving the stochastic problems of gamma-ray transport theory. Russian Journal of Numerical Analysis and Mathematical Modelling, 35(3), 153-162. https://doi.org/10.1515/rnam-2020-0012

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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. ",

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

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Randomized exponential transformation algorithm for solving the stochastic problems of gamma-ray transport theory. / Medvedev, Ilia N.; Mikhailov, Gennadii A.

В: Russian Journal of Numerical Analysis and Mathematical Modelling, Том 35, № 3, 01.06.2020, стр. 153-162.

Результат исследования: Научные публикации в периодических изданиях › статья

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