Optimization of a Numerical-Statistical Algorithm for Estimating the Mean Particle Flow in a Bounded Random Medium with Multiplication

Approximations of random functions are studied, which are numerically simulated to investigate the stochastic process of particle transport, including problems concerning fluctuations of criticality parameters in random multiplying media. For an isotropic random field, a simple grid model reproducing the efficient average correlation length is formulated, which ensures high accuracy of the solution of stochastic transport problems for small correlation lengths. The proposed algorithms are tested by estimating the superexponential mean particle flow in a random multiplying medium.