An analysis of convergence for nonstationary two-stage multisplitting waveform relaxation methods

Abstract

In this paper, we consider a nonstationary multisplitting two-stage strategy for waveform relaxation iterations, solving the initial value problem of ordinary differential equations. Convergence properties will be given when the coefficient matrix is an M-matrix or a Hermitian positive definite matrix. Finally numerical experiments are presented. In Memory of Professor D.J. Evans