The controversial stability analysis

被引：26
作者：
Sousa, E [1 ]
机构：
[1] Univ Coimbra, Dept Matemat, P-3000 Coimbra, Portugal
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 145卷 / 2-3期
关键词：
stability analysis; convection-diffusion; finite differences;
D O I：
10.1016/S0096-3003(03)00274-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this review we present different techniques for obtaining stability limits for a finite difference scheme-the forward-time and space-centered numerical scheme applied to the convection-diffusion equation. A survey of past attempts to state stability conditions for this scheme illustrates the difficulties in stability analysis that arise as soon as a scheme becomes more complex and illuminates the concepts of necessary and sufficient conditions for stability. (C) 2003 Elsevier Inc. All rights reserved.
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页码：777 / 794
页数：18
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