Randall J. LeVeque

I will give a brief introduction to high-resolution (shock-capturing) finite volume methods for hyperbolic PDEs that model wave propagation. These methods are based on solving Riemann problems at cell interfaces and using wave limiters to develop...

A widespread approach for tsunami simulation is to model the ocean with the shallow water equations (SWE). The steady-state ocean floor deformation that results from a seismic event is often used as the initial ocean surface profile for the SWE...