Stability analysis of the CrankNicolson-Leapfrog method with the RobertAsselinWilliams time filter
Geophysical flow simulations have evolved sophisticated implicitexplicit time stepping methods (based on fast-slow wave splittings) followed by time filters to control any unstable models that result. Time filters are modular and parallel. Their effect on stability of the overall process has been tested in numerous simulations. In this paper, we study the stability of the CrankNicolson-Leapfrog scheme with the RobertAsselinWilliams time filter.
conditional stability imex methods cranknicolson leapfrog robertasselinwilliams filter 65l20 86a10