Spectral approximation on metric graphs, on manifolds, and for systems of differential equations
You will acquire a good working knowledge of the mathematical analysis behind some of the fundamental differential equations of mathematical physics, eg Schroedinger, Maxwell and Dirac systems.
This will include some of the most up-to-date ideas from soft analysis such as the very new concept of essential numerical range for unbounded operators and its use in the analysis of numerical approaches to approximation and calculation of spectra.
You will have the opportunity to learn about finite difference and finite element methods and to acquire programming skills which would transfer to engineering applications.
We are interested in pursuing this project and welcome applications if you are self-funded or have funding from other sources, including government sponsorships or your employer.
Please contact the supervisor when you want to pursue this project, citing the project title in your email, or find out more about our PhD programme in Mathematics.