Numerical modeling: earthquakes, gravitational flows and tsunamis

We will learn how to solve numerically the equations describing earthquakes, gravitational flows, and tsunamis. The simple versions of these equations are similar in form and include advection and diffusion terms as well as source terms. We describe in detail the numerical schemes appropriate for these equations (finite difference, finite volume, finite elements) as well as their mathematical and numerical properties and limits. The course consists of lectures and exercises on the computer.

Numerically solve the general equations that describe gravitational flows, tsunamis, and wave propagation in their simple form.

A solid grounding in mathematics