New Monte Carlo Algorithms for Estimating Probability Moments of Criticality Parameters for a Scattering Process with Multiplication in Stochastic Media

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Abstract

By analogy with Kellogg’s method, a Monte Carlo algorithm well suited for parallelization was constructed for estimating probability moments of the leading eigenvalue of the particle transport equation with multiplication in a random medium. For this purpose, a randomized homogenization method was developed by applying the theory of small perturbations and the diffusion approximation. Test computations were performed for a one-group spherically symmetric model system. They revealed that the results produced by two methods are in satisfactory agreement.

Original languageEnglish
Pages (from-to)6-10
Number of pages5
JournalDoklady Mathematics
Volume97
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

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