Applied Mathematics Theses
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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Applications of likelihood-free parameter inference methods on numerical models of cancer invasion
(2022-07-27) - ThesisIn this thesis, we present two different methods to estimate parameters within a Partial Differential Equation (PDE) model of cancer invasion and an Individual-based Model (IBM) derived from it. The PDE model was fitted ... -
Magnetohydrodynamic waves in the solar corona : a mathematical investigation of the role of resonant absorption and phase mixing in coronal heating
(University of St Andrews, 2021-06-29) - ThesisBackground: The Sun is a massive and highly dynamic ball of plasma, and oscillations in kinetic and magnetic energy are commonplace throughout its atmosphere. Since the plasma conducts electricity, we model the fluid using ... -
Transition region blinkers
(University of St Andrews, 2003) - ThesisBlinkers are small intensity enhancements seen in the transition region of the solar atmosphere. They are important because they give us a unique insight into the transition region which until recently, has not been studied ... -
Two-component relativistic wave equations for spin 1/2 particles
(University of St Andrews, 1974) - Thesis -
Multi-dimensional modelling of physiologically and temporally structured populations
(University of St Andrews, 2004) - ThesisPhysiologically-structured population counts are sometimes the only available source of information about a population. Because such data are often sparse and noisy, they are difficult to model. Moreover the parameters of ...