Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems

被引：16

作者：

Descombes, S

Ribot, M

机构：

[1] Ecole Normale Super Lyon, CNRS, UMR 5669, UMPA, F-69364 Lyon 07, France

[2] Univ Lyon 1, CNRS, UMR 5585, MAPLY, F-69622 Villeurbanne, France

来源：

NUMERISCHE MATHEMATIK | 2003年 / 95卷 / 03期

关键词：

D O I：

10.1007/s00211-002-0434-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a reaction-diffusion system of the form u(t)-MDeltau+F(u)=0, where M is a mxm matrix whose spectrum is included in {Rz>0}. We approximate it by the Peaceman-Rachford approximation defined by P(t)=(1+tF/2)(-1)(1+tMDelta/2)(1-tMDelta/2)(-1)(1-tF/2). We prove convergence of this scheme and show that it is of order two.

引用

页码：503 / 525

页数：23

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