Exponential Runge–Kutta methods for delay differential equations

Y. Xu, J.J. Zhao and Z.N. Sui

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 12, 2350-2361

Abstract: This paper deals with convergence and stability of exponential Runge–Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provided. Finally, some numerical examples are presented to illustrate the main conclusions.

Keywords: Convergence; Stability; Runge–Kutta methods; Delay (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:12:p:2350-2361

DOI: 10.1016/j.matcom.2010.05.016

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