# 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 оригинала английский 6-10 5 Doklady Mathematics 97 1 https://doi.org/10.1134/S1064562418010039 Опубликовано - 1 янв 2018