科研之友
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摘要
This paper is concerned with numerical stability of general linear methods (GLMs) for a system of linear neutral delay differential-algebraic equations. A sufficient and necessary condition for asymptotic stability of GLMs solving such system is derived. Based on this main result, we further investigate the asymptotic stability of linear multistep methods, Runge-Kutta methods, and block theta-methods, respectively. Numerical experiments confirm our theoretical result.
