  To further study the application of waveform relaxation methods in fluid
dynamics in actual computation, this paper provides a general theoretical
analysis of discrete-time waveform relaxation methods for solving linear DAEs.
A class of discrete-time waveform relaxation methods, named discrete-time
accelerated block successive overrelaxation (DABSOR) methods, is proposed for
solving linear DAEs derived from discretizing time-dependent Stokes equations
in space by using "Method of Lines". The analysis of convergence property and
optimality of the DABSOR method are presented in detail. The theoretical
results and the efficiency of the DABSOR method are verified by numerical
experiments.
