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

作　　者：YangXu Jing-junZhao Ming-zhuLiu 

机构地区：[1]DepartmentofMathematics,HarbinInstituteofTechnology,Harbin150001,China

出　　处：《Journal of Computational Mathematics》2004年第5期727-734,共8页计算数学（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.

分 类 号：O175[理学—数学] O151.21[理学—基础数学]