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 ...

This is a preview. Log in through your library . Abstract Some results about the A-stability of Runge-Kutta collocation methods based on the zeros and extrema of the ultraspherical or Gegenbauer ...

This paper deals with H-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient A ...