Abstract: Parallelizable Monte Carlo algorithms are developed for estimating the probability moments of criticality parameters for transport of particles with multiplication in a random medium. For this purpose, new iterative estimates of the multiplication factor and recurrence representations of statistical estimates of moments are constructed by applying the double randomization method and the randomized projection method. The practical efficiency of the proposed approaches is confirmed by test results obtained using special randomized homogenization with an improved diffusion approximation for a multilayered ball.
|Number of pages||10|
|Journal||Computational Mathematics and Mathematical Physics|
|Publication status||Published - 1 Nov 2018|
- effective particle multiplication factor
- Monte Carlo method
- statistical modeling
- transport theory