G. A. Mikhailov, G. Z. Lotova, “Monte Carlo algorithms for estimating time asymptotics of multiplication particle flow in a random medium”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 490,Pages <nobr>47

This article is cited in 4 papers

MATHEMATICS

Monte Carlo algorithms for estimating time asymptotics of multiplication particle flow in a random medium

G. A. Mikhailov^ab, G. Z. Lotova^ab

^a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russian Federation
^b Novosibirsk State University, Novosibirsk, Russian Federation

Abstract: The fluctuations of the number of scattering and multiplying particles in a random medium are investigated as functions of time. For this purpose, randomized Monte Carlo algorithms for estimating the probabilistic moments of the corresponding exponential asymptotic parameter are constructed.

Keywords: Monte Carlo method, weighted modifications, transport theory, time constant.

UDC: 519.676

Received: 06.06.2019
Revised: 06.06.2019
Accepted: 29.10.2019

DOI: 10.31857/S2686954320010051