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Nov 28

R.V. M.H. Mathematics MSc dissertations. Burton - Re-iterative methods for integral equations. Egan - Chaotic response of the Duffing equation. J. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst. D.J. Wakefield - Bounds on Quantities of Physical Interest, M. Johnson - Some problems on graphs and designs, A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts, R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems, J.V. RESEARCH Areas MSc • Algebra and Number Theory • Analysis, Geometry, and Topology • Applied Mathematics • Mathematics and Engineering • Probability and Statistics MASc • Mathematics and Engineering We encourage you to identify an area of research interest and contact a potential supervisor before applying. D. Brown - Two Data Assimilation Techniques for Linear Multi-input Systems. Eleanor Gosling - Flow through porous media: recovering permeability data from incomplete information by function fitting. 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. Neylon - Block iterative methods for three-dimensional groundwater flow models. R. Coad - 1-D and 2-D simulations of open channel flows using upwinding schemes. A.K. S. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives. S.M. Malcolm - Data dependent triangular grid generation.. C.J. L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model. K.J. Frame - Methods of targeting observations for the improvement of weather forecast skill, C. Hughes - On the topographical scattering and near-trapping of water waves, B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems, D.A. P. Sims - Interface Tracking using Lagrangian Eulerian Methods. Allen - Extended edge-colourings of graphs. Intracellular Cholesterol Regulation (PDF-4.06MB), Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB), Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb), Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb), Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB), R.D. S.J.G. Preconditioned conjugate gradient methods for serial and parallel computers. Non-symmetric methods in the modelling of contaminant transport in porous media. P.A. P.B. P.A. Biggs - Integral equation embedding methods in wave-diffraction methods. S. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics. Variational principles and the finite element method for channel flows. Dainton  - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs.

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