“…Modern Schwarz methods are among the best parallel solvers for steady partial differential equations, see the books [40,38,41] and references therein. Waveform relaxation methods have been analyzed for many different classes of problems recently: for fractional differential equations see [30], for singular perturbation problems see [47], for differential algebraic equations see [2], for population dynamics see [23], for functional differential equations see [48], and especially for partial differential equations, see [28,29,43] and the references therein. For the particular form of Schwarz waveform relaxation methods, see [6,18,8,7,31,46,22,35,5,45,33,34].…”