Recent Submissions

• Applications of Numerical Relativity Beyond Astrophysics ﻿

(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 2017)
Numerical relativity has proven to be a successful and robust tool for non-perturbative studies of gravitational phenomena in the highly dynamical and/or non-linear regime. Perhaps the most prominent achievement in the ...
• Source modelling at the dawn of gravitational-wave astronomy ﻿

(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 2016-11-08)
The age of gravitational-wave astronomy has begun. Gravitational waves are propagating spacetime perturbations ($\textit{“ripples in the fabric of space-time”}$) predicted by Einstein’s theory of General Relativity. These ...
• Numerical analysis of the Fokas method in two and three dimensions ﻿

(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 2016-10-05)
This thesis considers the numerical solution to elliptic boundary value problems (BVPs) in convex domains. Specifically we look at the two-dimensional problem in a polygon, and the three dimensional problem in a polyhedron. ...
• Modelling the effects on building temperatures of phase change materials ﻿

(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 2016-11-08)
In this thesis, three problems motivated by the possibility of use of phase change materials in buildings are presented. First, a model for the response of phase change material (PCM) to a varying room temperature is ...