摘要
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.
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.
出处
《计算数学》
CSCD
北大核心
2001年第4期457-468,共12页
Mathematica Numerica Sinica
基金
上海市教委青年科学基金项目(99QA80)
上海市科学技术发展基金项目(00JC14057)
上海市高等学校科学技术发展基金
