New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation

被引：1

作者：

Ivanov, MS ^{[1
]}

Korotchenko, MA ^{[1
]}

Mikhailov, GA ^{[1
]}

Rogasinsky, SV ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Computat Math & Math Geophys, Novosibirsk 630090, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2004年 / 19卷 / 03期

关键词：

D O I：

10.1515/1569398041126492

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop new weight modifications of the method of direct statistical simulation for the approximate solution of the nonlinear Boltzmann equation by using the ingenious procedure proposed by the authors, viz. the stratification of collision distribution in a many-particle system by the number of a pair of interacting particles. We check the appropriate weight algorithms for the model problem with the known solution. They allow us to estimate the variations of functionals under small changes of parameters.

引用

页码：223 / 238

页数：16

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