Abstract
Stability analysis of some representative numerical methods for systems of neutral delay-differential equations (NDDEs) is considered. After the establishment of a sufficient condition of asymptotic stability for linear NDDEs, the stability regions of linear multistep, explicit Runge-Kutta and implicitA-stable Runge-Kutta methods are discussed when they are applied to asymptotically stable linear NDDEs. Some mentioning about the extension of the results for the multiple delay case is given.
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Hu, GD., Mitsui, T. Stability analysis of numerical methods for systems of neutral delay-differential equations. Bit Numer Math 35, 504–515 (1995). https://doi.org/10.1007/BF01739823
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DOI: https://doi.org/10.1007/BF01739823