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Abdi, A. and Jackiewicz, Z. (2019) Towards a Code for Nonstiff Differential Systems Based on General Linear Methods with Inherent Runge-Kutta Stability. Applied Numerical Mathematics, 136, 103-121.
https://doi.org/10.1016/j.apnum.2018.10.001

has been cited by the following article:

• TITLE: Extrapolation of GLMs with IRKS Property to Solve the Ordinary Differential Equations

  AUTHORS: Ali J. Kadhim, Annie Gorgey

  KEYWORDS: Extrapolation Technique, General Linear Methods, Inherent Runge-Kutta Stability, Explicit Methods

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.9 No.4, December 6, 2019

  ABSTRACT: The extrapolation technique has been proved to be very powerful in improving the performance of the approximate methods by large time whether engineering or scientific problems that are handled on computers. In this paper, we investigate the efficiency of extrapolation of explicit general linear methods with Inherent Runge-Kutta stability in solving the non-stiff problems. The numerical experiments are shown for Van der Pol and Brusselator test problems to determine the efficiency of the explicit general linear methods with extrapolation technique. The numerical results showed that method with extrapolation is efficient than method without extrapolation.