A new take on parallel computing applied to oscillatory dynamics

Oscillations occur ubiquitously in dynamics, but they are not easy to capture computationally due to resolution and running time constraints. There have been attempts to run simulations in modern parallel computing architecture, but the results are often unsatisfactory due to hidden oscillations still under-resolved. In this project, on the theoretical front, we unravel these hidden oscillations and their underlying cause using non-linear resonance so that, on the computational front, we can device and investigate novel parallel algorithms that properly address these theoretical issues. The key ideas include averaging in the phase space (so amplitude is properly resolved in large timesteps, which saves running time) and parallel methods for linear PDE solvers.

Open to both UK and international candidates.

Up to 30% of our UKRI-funded studentships can be awarded to candidates paying international rate fees. Find out more about eligibility.

You will need to meet the minimum entry requirements for our Mathematics PhD programme.