Pressure forcing and dispersion analysis for discontinuous Galerkin approximations to oceanic fluid flows. - Robert L. Higdon (J. Comput. Phys., 2013)

Multiple time scales and pressure forcing in discontinuous Galerkin approximations to layered ocean models. - Robert L. Higdon (J. Comput. Phys., 2015)

Discontinuous Galerkin methods for multi-layer ocean modeling: Viscosity and thin layers. - Robert L. Higdon (J. Comput. Phys., 2020)

An automatically well-balanced formulation of pressure forcing for discontinuous Galerkin methods for the shallow water equations. - Robert L. Higdon (J. Comput. Phys., 2022)

CFL Optimized Forward-Backward Runge-Kutta Schemes for the Shallow Water Equations. - Jeremy R. Lilly; Darren Engwirda; Giacomo Capodaglio; Robert L. Higdon; Mark R. Petersen (CoRR, 2023)

Local time-stepping for the shallow water equations using CFL optimized forward-backward Runge-Kutta schemes. - Jeremy R. Lilly; Giacomo Capodaglio; Darren Engwirda; Robert L. Higdon; Mark R. Petersen (J. Comput. Phys., 2025)