I can offer Master’s projects related to any of my research themes.

For instance, if you have a particular interest in a certain area of science that involves a time-dependent PDE (not only flow models), a possible project in numerical analysis could be to carry out the energy analysis for the equation (leading to well-posedness) and then apply the SBP-SAT framework to mimic the estimate for the numerical scheme. The scheme is then coded and run to demonstrate that it works. Once finished, you will know how to analyze a PDE and define a well-posed problem. Furthermore, you will know how to use state-of-the-art numerical methods to solve a PDE.

I have supervised projects on the Euler, Navier-Stokes, and an alternative Navier-Stokes system, as well as the wave equation, Maxwell’s equations, Schrödinger’s equation, and numerical methods including finite differences, finite volumes,discontinous Galerkin, spectral methods and immersed boundary method with local mesh refinement.

If you are interested, you are most welcome to come by my office and have a chat with me.