%0 Journal Article
%T ASYMPTOTIC STABILITY AND NUMERICAL ANALYSIS FOR SYSTEMS OF GENERALIZED NEUTRAL DELAY DIFFERENTIAL EQUATIONS<br>广义中立型系统的渐近稳定性及数值分析
%A Cong Yuhao Yang Biao Kuang Jiaoxun
%A <br>丛玉豪
%A 杨彪
%A 匡蛟勋
%J 计算数学
%D 2001
%I 
%X This paper deals with the stability analysis of implicit Runge-Kutta methods for the numerical solutions of systems of generalized neutral delay differential equations. The stability behaviour of implicit Runge-Kutta methods is analysed for the solution of the generalized system of linear neutral test equations. After an establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, we show that a implicit Runge-Kutta method is NGPG-stable if and only if it is A-stable under some Lagrange interpolation condition.
%K generalized neutral delay differential system
%K asymptotic
%K stability
%K implicit Runge-Kutta methods
%K NGPG-stability<br>广义中立型系统
%K 渐近稳定性
%K 隐式Runge－Kutta方法
%K 稳定性
%K 数值分析
%K 解析扰动定理
%K 常微分方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=E05CE363FDE3F549&yid=14E7EF987E4155E6&vid=EA389574707BDED3&iid=E158A972A605785F&sid=D0E8F9CBDBE0070C&eid=3FC4D669D19FF0C6&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=21