The unconditional stable difference methods with intrinsic parallelism for two dimensional semilinear parabolic systems

被引：0

作者：

Yuan, GW ^{[1
]}

Shen, LJ ^{[1
]}

机构：

[1] Inst Appl Phys & Computat Math, Natl Lab Computat Phys, Beijing 100088, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2003年 / 21卷 / 01期

关键词：

difference scheme; intrinsic parallelism; two dimensional semilinear parabolic system; stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are going to discuss the difference schemes with intrinsic parallelism for the boundary value problem of the two dimensional semilinear parabolic systems. The unconditional stability of the general finite difference schemes with intrinsic parallelism is justified in the sense of the continuous dependence of the discrete vector solution of the difference schemes on the discrete data of the original problems in the discrete W-2((2,1)) norms. Then the uniqueness of the discrete vector solution of this difference scheme follows as the consequence of the stability.

引用

页码：63 / 70

页数：8