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

页码：165 / 172

页数：8

共 15 条

[1] Estimation of the Criticality Parameters of Branching Processes by the Monte Carlo Method [J].

Brednikhin, S. A. ;

Medvedev, I. N. ;

Mikhailov, G. A. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2010, 50 (02) :345-356

[2]

Davison B., 1957, NEUTRON TRANSPORT TH

[3]

Ermakov S. M., 1982, STAT MODELLING

[4]

Ershov Yu. I., 1985, MATH FUNDAMENTALS TR, V1

[5]

Kantorovich L. V., 1982, FUNCTIONAL ANAL, VXIV

[6] Moments of the Critical Parameters of the Transport of Particles in a Random Medium [J].

Lotova, G. Z. ;

Mikhailov, G. A. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (12) :2254-2265

[7] Estimates of the fluctuations of criticality parameters in the particle transport process in a random medium [J].

Lotova, GZ ;

Mikhailov, GA .

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2004, 19 (02) :173-183

[8]

Marchuk G. I., 1961, METHODS CALCULATING

[9]

MARCHUK GI, 1980, MONTE CARLO METHOD A

[10]

Mikhailov G. A., 1977, COMP MATH MATH PHYS, V17, P244

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