A Comparative Analysis of Computational Stability for Linear and Non-Linear Evolution Equations

被引：0
|
作者：
Lin W. [1 ,2 ]
Ji Z. [1 ]
Wang B. [1 ]
机构：
[1] LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences
[2] Institute of Physical Oceanography, University of Qingdao
来源：
Advances in Atmospheric Sciences | 2002年 / 19卷 / 4期
基金：
中国国家自然科学基金;
关键词：
Computational stability; Difference scheme; Evolution equation; Initial value;
D O I：
10.1007/s00376-002-0009-9
中图分类号：
学科分类号：
摘要：
For several difference schemes of linear and non-linear evolution equations, taking the one-dimensional linear and non-linear advection equations as examples, a comparative analysis for computational stability is carried out and the relationship between non-linear computational stability, the construction of difference schemes, and the form of initial values is discussed. It is proved through comparative analysis and numerical experiment that the computational stability of the difference schemes of the non-linear evolution equation are absolutely different from that of the linear evolution equation.
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页码：699 / 704
页数：5
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