A simple algorithm for Schwarz waveform
relaxation methods

Abstract. In this paper, we propose a new algorithm to the non-overlapping Schwarz domain decomposition methods for solving one dimensional advection reaction diffusion problem. More precisely, our method provides a good estimation of parameters which are used in Schwarz waveform relaxation methods. The advantage of our algorithm is that it is simple, efficient and easy to extend to more general partial differential equations. Numerical experiments are provided to show the efficiency of the new method and to compare with the optimized Schwarz waveform relaxation methods in [4].