Applied Mathematics
Areas of particularly strong research activity are: numerical analysis, plasma physics, solar and magnetospheric theory, and vortex dynamics.
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Recent Submissions
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Internal interannual variability in the extra-tropical stratosphere
(University of St Andrews, 2021-11-30) - ThesisWe investigate persistent low-frequency variability of the stratospheric winter polar vortex in a rotating spherical shallow-water model under the action of topographic wave-forcing and radiative cooling to a simple ... -
Partial differential equation modelling in cancer and development
(University of St Andrews, 2022-06-14) - ThesisThis thesis explores various partial differential equation (PDE) models of the spatiotemporal and evolutionary dynamics of cell populations in different problems in cancer and development. In particular, these models are ... -
Synthetic observational signatures of coronal heating mechanisms from 3D numerical simulations
(University of St Andrews, 2022-06-14) - ThesisIn this thesis, we investigate the synthetic observables from 3D MHD simulations which explore coronal heating mechanisms. These models include the twisting of magnetic flux tubes, the propagation of transverse oscillations ... -
An investigation of the magnetic field structure of flaring solar active regions using global magnetic field models and automated techniques
(2022-06-14) - ThesisIn this thesis we explore methods for analysing flaring active regions, in particular studying X-class flares. We use global magnetic field models and machine learning techniques to carry out this analysis. Using both ... -
Mathematical models of atmospheric convection : a Lagrangian perspective
(2023-06-13) - ThesisThis thesis presents extensions and enhancements to an existing Lagrangian model for atmospheric convection. The Moist Parcel-In-Cell (MPIC) method, developed by Dritschel et al. (2018), is a novel approach which avoids ...
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