%0 Journal Article
%T The Impacts of Initial Perturbations on the Computational Stability of Nonlinear Evolution Equations
%A WU Li-Fei
%A LIN Wan-Tao
%A YANG Xiao-Zhong
%A <br>WU Li-Fei
%A LIN Wan-Tao
%A YANG Xiao-Zhong
%J 大气和海洋科学快报
%D 2011
%I 
%X The impacts of initial perturbations on the computational stability of nonlinear evolution equations for non-conservative difference schemes and non-periodic boundary conditions are studied through theoretical analysis and numerical experiments for the case of one- dimensional equations. The sensitivity of the difference scheme to initial values is further analyzed. The results show that the computational stability primarily depends on the form of the initial values if the difference scheme and boundary conditions are determined. Thus, the computational stability is sensitive to the initial perturbations.
%K nonlinear evolution equation
%K initial perturbations
%K computational stability
%K initial values<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=28A2F569B2458C17&jid=DFA1C03CBD38122A6831EBC757FD100F&aid=A0C0AC355ED3D774C38E05030EE8D12E&yid=9377ED8094509821&vid=E158A972A605785F&iid=94C357A881DFC066&sid=2AC7DCCBBC26ECF8&eid=E42CAFB11D4BE21A&journal_id=1674-2834&journal_name=大气和海洋科学快报&referenced_num=0&reference_num=0