Approximative solution of the coagulation-fragmentation equation by stochastic particle systems

被引：38

作者：

Eibeck, A ^{[1
]}

Wagner, W ^{[1
]}

机构：

[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2000年 / 18卷 / 06期

关键词：

D O I：

10.1080/07362990008809704

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies stochastic particle systems related to the coagulation-fragmentation equation, For a certain class of unbounded coagulation kernels and fragmentation rates, relative compactness of the stochastic systems is established and weak accumulation points are characterized as solutions. These results imply a new existence theorem. Finally a simulation algorithm based on the particle systems is proposed.

引用

页码：921 / 948

页数：28

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