We develop a fast operator splitting (OS) method to solve spectral lin
e radiative transfer problems in time-dependent hydrodynamic computati
ons with shock discontinuities, assuming complete redistribution. The
convergence properties and the results obtained with our method are co
mpared with results obtained using a modified core-saturation method a
nd with the LAMBDA-iteration. We find that our operator splitting meth
od is robust, accurate and fast.