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H-STABILITY OF RUNGE-KUTTA METHODS WITH VARIABLE STEPSIZE FOR SYSTEM OF PANTOGRAPH EQUATIONS 被引量:1

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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.
出处 《Journal of Computational Mathematics》 SCIE CSCD 2004年第5期727-734,共8页 计算数学(英文)
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