GP-stability of θ-method for Generalized Delay Differential Systems

作     者：Yuhao Cong Jiaxiang Xiang Department of Mathematics,Shanghai Normal University Shanghai 200234,P.R.China 

会议名称：《第九届全国微分方程数值方法暨第六届全国仿真算法学术会议》

会议日期：2004年

学科分类：0711[理学-系统科学] 07[理学] 070104[理学-应用数学] 071101[理学-系统理论] 0701[理学-数学] 

摘      要：The GP-stability of θ-methods for the numerical solution of systems of delay differential equations is considered,The stability behavior of θ-methods is analyzed for multiple delay *** prove that θ-methods with the Lagrange interpolation process is GP-stable if and only if 1/2≤θ≤*** one-leg θ-methods is GP-stable if and only if θ=1.