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

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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.

Original languageEnglish
Pages (from-to)153-162
Number of pages10
JournalRussian Journal of Numerical Analysis and Mathematical Modelling
Volume35
Issue number3
DOIs
Publication statusPublished - 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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