A new take on parallel computing applied to oscillatory dynamics

Start date

1 October 2024


3.5 years

Application deadline

Funding source

UKRI and/or University of Surrey

Funding information

We are offering the UKRI standard stipend (currently £18,622 per year) with an additional bursary of £1,700 per year for full 3.5 years for exceptional candidates. In addition, a research, training and support grant of £3,000 over the project is also offered. Full home or overseas tuition fees (as applicable) will be covered.


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.

Eligibility criteria

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.

How to apply

Applications should be submitted via the Mathematics PhD programme page. In place of a research proposal, you should upload a document stating the title of the project that you wish to apply for and the name of the relevant supervisor.

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Application deadline

Contact details

Bin Cheng
15 AA 04
Telephone: +44 (0)1483 683023
E-mail: b.cheng@surrey.ac.uk

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