Parallel solution of linear DAEs by multisplitting waveform relaxation methods

We are interested in solving linear time-dependent index one differential algebraic equations (DAEs) by parallel asynchronous algorithms. We give a new class of parallel iterative methods the convergence of which is obtained by the study of a special fixed point mapping. These new algorithms can be described as asynchronous multisplitting waveform relaxation methods for linear differential algebraic systems.