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The NGP-stability of Runge-Kutta methods for systems of neutral delay differential equations
Authors:Lin Qiu  Biao Yang  Jiaoxun Kuang
Institution:(1) Graduate School of Human Informatics, Nagoya University, Nagoya 464-8601, Japan; e-mail: qiulin@torii.nuie.nagoya-u.ac.jp , JP;(2) Department of Mathematics, Shanghai Normal University, Shanghai 200234, P.R.China , CN
Abstract:Summary. This paper deals with the stability analysis of implicit Runge-Kutta methods for the numerical solutions of the systems of neutral delay differential equations. We focus on the behavior of such methods with respect to the linear test equations where ,L, M and N are complex matrices. We show that an implicit Runge-Kutta method is NGP-stable if and only if it is A-stable. Received February 10, 1997 / Revised version received January 5, 1998
Keywords:Mathematics Subject Classification (1991): 65L20
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