%0 Journal Article
%T A Comparative Analysis of Computational Stability for Linear and Non-Linear Evolution Equations<br>线性与非线性发展方程计算稳定性的比较分析
%A Lin Wantao
%A Ji Zhongzhen
%A Wang Bin
%A <br>Lin Wantao
%A Ji Zhongzhen
%A Wang Bin
%J 大气科学进展
%D 2002
%I 
%X 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.
%K evolution equation
%K difference scheme
%K computational stability
%K initial value<br>线性
%K 发展方程
%K 差分格式
%K 数值试验
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=28A2F569B2458C17&jid=5434AFBF6CB6E7E8D67733B541F211C7&aid=00095B2800D37670846596CA31493330&yid=C3ACC247184A22C1&vid=2A8D03AD8076A2E3&iid=E158A972A605785F&sid=C230D48775108CE3&eid=F20A770D14436F7C&journal_id=0256-1530&journal_name=大气科学进展&referenced_num=18&reference_num=14