I have been interested in the derivation of new and better Runge-Kutta algorithms for some time. In particular, I showed that the design of Runge-Kutta pairs by E. Fehlberg could be improved to ...

In this paper we devote oneself to the numerical experiment with the embedded Runge-Kutta formulae of the 6th order to the 5th order. We deal with an influence of changing maximum allowable local ...