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Optimized finite-difference (DRP) schemes perform poorly for decaying or growing oscillations
(ElsevierJournal of Computational Physics, 2016-08-11)
Computational aeroacoustics often use finite difference schemes optimized to require relatively few points per wavelength; such optimized schemes are often called Dispersion Relation Preserving (DRP). Similar techniques ...
Bilevel Parameter Learning for Higher-Order Total Variation Regularisation Models
(SpringerJournal of Mathematical Imaging and Vision, 2016-06-01)
We consider a bilevel optimisation approach for parameter learning in higher-order total variation image reconstruction models. Apart from the least squares cost functional, naturally used in bilevel learning, we propose ...
On the survival of zombie vortices in protoplanetary discs
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-09-06)
Recently it has been proposed that the zombie vortex instability (ZVI) could precipitate hydrodynamical activity and angular momentum transport in unmagnetized regions of protoplanetary discs, also known as ‘dead zones’. ...
Precessional instability in binary black holes with aligned spins
(American Physical SocietyPhysical Review Letters, 2015-10-02)
Binary black holes on quasicircular orbits with spins aligned with their orbital angular momentum
have been testbeds for analytic and numerical relativity for decades, not least because symmetry
ensures that such configurations ...
Decay of the Cosmic Vacuum Energy
(SpringerFestschrift, 2016)
In his 2005 review, $\textit{Gravity and the Thermodynamics of Horizons}$, Paddy suggested that a vacuum in thermal equilibrium with a bath of radiation should have a gradually diminishing energy. We work through the ...
Numerical analysis of the Fokas method in two and three dimensions
(Department of Applied Mathematics and Theoretical Physics, University of CambridgeUniversity of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsSt Edmund's College, 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. ...
Matrix model for non-Abelian quantum Hall states
(American Physical SocietyPhysical Review B, 2016-08-09)
We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states. The model describes electrons which carry an internal SU($p$) spin. The ground states of the matrix model include spin-singlet generalizations ...
Coupled-channel $\textit{Dπ}$, $\textit{Dη}$ and $\textit{D$_{s}$$\bar K$}$ scattering from lattice QCD
(SpringerJournal of High Energy Physics, 2016-10-04)
We present the first lattice QCD study of coupled-channel $\textit{Dπ}$, $\textit{Dη}$ and $\textit{D$_{s}$$\bar K$}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation ...
A new method for isolating turbulent states in transitional stratified plane Couette flow
(Cambridge University PressJournal of Fluid Mechanics, 2016-10-26)
We present a new adaptive control strategy to isolate and stabilize turbulent states in transitional, stably stratified plane Couette flow in which the gravitational acceleration (non-dimensionalized as the bulk Richardson ...
Modelling the effects on building temperatures of phase change materials
(Department of Applied Mathematics and Theoretical Physics, University of CambridgeUniversity of CambridgeDepartment of Applied Mathematics and Theoretical Physics, 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 ...