Stability of Runge–Kutta methods for neutral delay-integro-differential-algebraic system

Y. Xu and J.J. Zhao

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 79, issue 3, 571-583

Abstract: Stability properties of Runge–Kutta methods for the linear neutral delay-integro-differential-algebraic system are considered. It is proved that every A-stable natural Runge–Kutta method preserves the delay-independent stability of the exact solution. Some numerical experiments are given.

Keywords: Delay; Differential-algebraic equations; Stability; Numerical methods (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2008:i:3:p:571-583

DOI: 10.1016/j.matcom.2008.03.002

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