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

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)6-10
Число страниц5
ЖурналDoklady Mathematics
Том97
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2018

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