New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media

被引：1
作者：
Ambos, Andrey Yu. [1 ]
Lotova, Galiya [1 ,2 ]
Mikhailov, Guennady [1 ,2 ]
机构：
[1] RAS, Inst Computat Math & Math Geophys, Siberian Branch, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2017年 / 32卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
Statistical modelling; Monte Carlo method; effective multiplication factor; probability distribution; radiative transfer; PARAMETERS; TRANSPORT;
D O I：
10.1515/rnam-2017-0014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Monte Carlo algorithm admitting parallelization is constructed for estimation of probability moments of the spectral radius of the operator of the integral equation describing transfer of particles with multiplication in a random medium. A randomized homogenization method is developed with the same aim on the base of the theory of small perturbations and diffusive approximation. Test calculations performed for a one-group spherically symmetric model system have shown a satisfactory concordance of results obtained from two models.
引用
收藏
页码：165 / 172
页数：8
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