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

Authors:
Y. Xu;J. J. Zhao
Affiliations:
Department of Mathematics, Harbin Institute of Technology, 150001, PR China;Department of Mathematics, Harbin Institute of Technology, 150001, PR China
Venue:
Mathematics and Computers in Simulation
Year:
2008

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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.