Monday, May 12, 2014

The method of Dormand & Prince

Higher order RK methods that involve 6 and higher stages of calculations at each time step are the next logical procedures. One of these methods with a 6-stage calculation, followed by a 7-stage error estimation, was developed by Dormand & Prince (Dormand & Prince, A family of embedded Runge-Kutta formulae, Journal of Computational & Applied Mathematics, Vol. 6, #1, pp 19-26). The Butcher tableau for the Dormand & Prince method is shown below.

New Picture
Posted by at
Labels: , ,

1 comment:

  1. The simple pendulum and its solution | A Handful Of Numerical Integration TechniquesMay 20, 2014 at 5:10 PM

    […] variable-step method of Dormand & Prince was applied to solve the above IVP. The results for a 170 deg initial displacement are shown […]

    ReplyDelete

Subscribe to: Post Comments (Atom)