%0 Journal Article
%T DISSIPATIVITY OF GENERAL LINEAR METHODS FOR DISSIPATIVE DYNAMIC SYSTEMS IN HILBERT SPACES<br>HILBERT空间中散逸动力系统一般线性方法的散逸稳定性
%A Xiao Aiguo
%A <br>肖爱国
%J 计算数学
%D 2000
%I 
%X The main purpose of the present paper is to extend and unify therelevant results by Humphries & Stuart (1994), Hill (1997) and Xiao(1996) to general linear methods and dissipative dynamic systems inHilbert spaces. It is showed that, for general linear methods,dissipativity implies weak AN-stability and that, for irreduciblemethods, algebraic stability plus (L(∞))<1 impliesdissipativity.
%K Dynamic systems
%K General linear methods
%K Dissipativity<br>一般线性方法
%K 散逸稳定性
%K 散逸动力系统
%K HILBERT空间
%K 数值解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=588EC55C71ACBC05&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=E158A972A605785F&sid=9BA67A0B76A3DBA8&eid=08076B8B3CC96095&journal_id=0254-7791&journal_name=计算数学&referenced_num=8&reference_num=3