The Department of Mathematics and Statistics was host until 2014 to the MSc course in the Mathematics of Scientific and Industrial Computation (previously known as Numerical Solution of Differential Equations) and the MSc course in Mathematical and Numerical Modelling of the Atmosphere and Oceans. A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991, Tsz Yan Leung - Weather Predictability: Some Theoretical Considerations, Jehan Alswaihli - Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations, Jemima M Tabeart - On the treatment of correlated observation errors in data assimilation, Chris Davies - Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems, Birzhan Ayanbayev - Some Problems in Vectorial Calculus of Variations in L∞, Penpark Sirimark - Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation, Adam Barker - Path Properties of Levy Processes, Hasen Mekki Öztürk- Spectra of Indefinite Linear Operator Pencils, Carlo Cafaro - Information gain that convective-scale models bring to probabilistic weather forecasts, Nicola Thorn - The boundedness and spectral properties of multiplicative Toeplitz operators, James Jackaman - Finite element methods as geometric structure preserving algorithms, Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics, Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface, Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations, Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB), Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB), Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB), Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB), Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB), Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB), Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB), Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB), Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB), Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB), Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB), Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB), Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB), Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB), Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB), Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB), Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB), Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB), Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB), Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB), Mark Parsons - Mathematical Modelling of Evolving Networks, Natalie L.H. Mawson - The shallow-water semi-geostrophic equations on the sphere.. S.M. Wakelin - Variational principles and the finite element method for channel flows.. E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media. M.E. An investigation of the dynamics of several equidistribution schemes, Re-iterative methods for integral equations. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations, J. Hudson - Numerical Techniques for Morphodynamic Modelling. P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Crossley - Application of Roe's scheme to the shallow water equations on the sphere. Analysis and computation of steady open channel flow, Water wave scattering by undulating bed topography. P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems. Stringer - The use of robust observers in the simulation of gas supply networks.

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