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

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  • Xu, Y.
  • Zhao, J.J.

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.

Suggested Citation

  • Xu, Y. & Zhao, J.J., 2008. "Stability of Runge–Kutta methods for neutral delay-integro-differential-algebraic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 571-583.
    • Handle: RePEc:eee:matcom:v:79:y:2008:i:3:p:571-583
    DOI: 10.1016/j.matcom.2008.03.002
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    References listed on IDEAS

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    1. Bellen, Alfredo & Zennaro, Marino, 2003. "Numerical Methods for Delay Differential Equations," OUP Catalogue, Oxford University Press, number 9780198506546.
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