H-STABILITY OF RUNGE-KUTTA METHODS WITH VARIABLE STEPSIZE FOR SYSTEM OF PANTOGRAPH EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Delay differential equations Stability Runge-Kutta method.
• 年，卷（期）: 2004,（5）
• 页码范围: 727-734
• 页数: 8页
• 语种: 英文

摘要

This paper deals with H-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient A and stiffly accurate Runge-Kutta methods are H-stable if and only if the modulus of stability function at infinity is less than 1.