科研之友
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摘要
This paper is concerned with asymptotic stability of linear neutral delay differential-algebraic equations and Runge-Kutta methods. First, we give a new equivalent sufficient condition for the neutral delay differential-algebraic equations to be delay-independent asymptotically stable. Then we investigate the asymptotic stability of the numerical solutions generated by the Runge-Kutta methods combined with Lagrange interpolation. Some results on the asymptotic stability of Runge-Kutta methods of high order are given. Finally, numerical examples of index 1 and 2 are conducted to confirm our numerical stability result.
