Interests include: Partial differential equations and their numerical methods; Modelling PDE behaviour on evolving surfaces and evolving domains; Computational methods for mathematics; Mathematics with applications; and Physical models for mathbiology.
My most recent research includes working with the University of Sussex and local health care providers on the well-posedness of infection models for hospital admission rates. Our current focus is on showing existence and uniqueness to a non-linear boundary value problem which is formed using the hospital data.
Supervisor: Prof. Anotida Madzvamuse
I have recently completed my PhD on the use of mathematical models to simulate ultra-high frequency wave propagation. Concentrating on modelling wifi propagation within a domestic indoor environment. Currently looking at the method of geometric optics and adapting this to account for general domains. This will then be used to optimise antenna considerations using linear optimisation methods.
Previous research in the area of maths biology looked at modelling reaction diffusion problems on the surfaces of cells. This used evolving surface numerical partial differential equation methods
University of Bath, Department of Mathematical Sciences
1 Oct 2016 → 18 Nov 2021
Award Date: 18 Nov 2021
University of Sussex, Department of Mathematics
1 Sep 2012 → 31 Jul 2016
Award Date: 1 Jun 2016
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