Comparison of exponential integrators and traditional time integration schemes for the shallow water equations

The time integration scheme is probably one of the most fundamental choices in development an ocean model. In this paper, we investigate several schemes when applied to shallow water equations. This set equations accurate enough for modeling a and also relevant study as it solved barotropic (i.e. vertically averaged) component three dimensional We analyze different stepping algorithms linearized High order explicit are but step constrained by Courant-Friedrichs-Lewy stability condition. Implicit can be unconditionally stable but, practice lack accuracy used with large steps. paper propose detailed comparison such classical exponential integrators. computational costs analyzed configurations.