TY - JOUR

T1 - Monte Carlo Methods for Estimating the Probability Distributions of Criticality Parameters of Particle Transport in a Randomly Perturbed Medium

AU - Mikhailov, G. A.

AU - Lotova, G. Z.

PY - 2018/11/1

Y1 - 2018/11/1

N2 - 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.

AB - 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.

KW - effective particle multiplication factor

KW - Monte Carlo method

KW - statistical modeling

KW - transport theory

KW - MODELS

UR - http://www.scopus.com/inward/record.url?scp=85058852821&partnerID=8YFLogxK

U2 - 10.1134/S0965542518110088

DO - 10.1134/S0965542518110088

M3 - Article

AN - SCOPUS:85058852821

VL - 58

SP - 1828

EP - 1837

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 11

ER -