Iterative schemes for three-stage implicit Runge-Kutta methods Original Research Article

In this paper we consider a class of iterative schemes for implicit Runge-Kutta methods. Taking into account convergence and linear stability properties, we propose a technique to develop efficient schemes for three-stage methods and we construct particular schemes for the case of Gauss and RadauIIA methods. Finally, some numerical experiments are included in order to show the efficiency of the algorithms.