两步龙格库塔方法对多延迟量微分代数方程的渐近稳定性(英文)  

Asymptotic stability of two-step Runge-Kutta methods for differential-algebraic equations with several delays

作　　者：李晓燕[1] 孙乐平[1] 毛宏坤[1] 

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《纺织高校基础科学学报》2011年第1期9-14,共6页Basic Sciences Journal of Textile Universities

摘　　要：研究了用两步龙格库塔方法求解多延迟微分代数方程的渐进稳定性,并且证明了在微分代数方程矩阵都是上三角矩阵的假设下,两步龙格库塔法求解此类方程是渐进稳定的.这种假设对于有广泛应用的海参伯格微分代数方程是正确的.The two-step Runge-Kutta methods for the differential-algebraic equations with several delays are developed and it is proved that the methods are asymptotically stable under the assumption that the coefficient matrices are all upper triangular.This assumption is regarded as true for DDAEs which have a wide range of applications.

关 键 词：渐进稳定性 微分代数方程 两步龙格库塔方法 

分 类 号：O241.81[理学—计算数学]