THE USE OF RUNGE-KUTTA FORMULAS IN WAVE-FORM RELAXATION METHODS

We consider a very general class of waveform relaxation methods which are based on Runge-Kutta processes for the numerical solution of initial value problems for large systems of ordinary differential equations. We give general results about the convergence of the iterative schemes on arbitrarily long windows of integration, as well as about the order of accuracy of the limit methods. Finally, we briefly discuss a possible parallel implementation of some of these techniques.