%0 Journal Article
%T Problems of Nonlinear Computational Instability in Evolution Equations<br>发展方程的非线性计算不稳定问题
%A Ji Zhongzhen
%A Lin Wantao
%A Yang Xiaozhong
%A <br>Ji Zhongzhen
%A Lin Wantao
%A Yang Xiaozhong
%J 大气科学进展
%D 2001
%I 
%X Some problems of nonlinear computational instability are discussed in this article, which are shown as follows: 1) Three types of representative evolution equations are analyzed, and the close relationship between the nonlinear computational stability or instability in their corresponding difference equations and the properties of their solution is revealed. 2) The problem of nonlinear computational instability in conservative differencing equations with the periodic boundary condition is further discussed, and some effective ways to avoid nonlinear computational instability are proposed. 3) The problem of nonlinear computational instability in non-conservative difference equations with the aperiodic boundary condition is focused on by using nonlinear advection equations as examples, and "snynthetic analysis method"is given to judge their computational stability.
%K Nonlinear
%K Computational stability
%K Non-conservative scheme
%K Aperiodic boundary condition<br>非线性
%K 计算稳定性
%K 非守恒格式
%K 非周期边条件
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=28A2F569B2458C17&jid=5434AFBF6CB6E7E8D67733B541F211C7&aid=60E18D08F2E37DED265FDE51FC7A84AD&yid=14E7EF987E4155E6&vid=13553B2D12F347E8&iid=38B194292C032A66&sid=21D8CE17EE5EE354&eid=1E9426A299DC9FFD&journal_id=0256-1530&journal_name=大气科学进展&referenced_num=0&reference_num=8