J.F. S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs. J. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst. M.J. Hoyle - Some Approximations to Water Wave Motion over Topography. 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. M.A. A.K. 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. Neil - An investigation of the dynamics of several equidistribution schemes. S. McAllister - First and second order complex differential equations. Numerical techniques for conservation laws with source terms. K.J. Morgan - Numerical Methods for Macroscopic Traffic Models, M.A. M. Wakefield - Variational Methods for Upscaling. MASTER THESIS IN MATHEMATICS/ APPLIED MATHEMATICS A Quantitative Risk Optimization of Markowitz Model An Empirical Investigation on Swedish Large Cap List by Amir Kheirollah Oliver Bjärnbo Magisterarbete i matematik/tillämpad matematik Code: MDH.IMA.MAT.0088 (2007) 20p – AF Department of Mathematics and Physics. Impact and implications of climate variability and change on glacier mass balance in Kenya, Non-oscillatory interpolation for the Semi-Lagrangian scheme, Error growth in medium-range forecasting models, Linear and Quadratic Finite Elements for a Moving Mesh Method, Examination of non-Time Harmonic Radio Waves Incident on Plasmas, Boundary Element Method for Heat Transfer in a Buried Pipe, Modelling water uptake in rice using moving meshes, Blow-up in the Nonlinear Schrodinger Equation Using an Adaptive Mesh Method, Numerical Evaluation of Oscillatory Integrals, Forward and Inverse Water-Wave Scattering by Topography, A First Step Towards the Calculation of a Connectivity Matrix for the Great Barrier Reef. S. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples, D.E. Intracellular Cholesterol Regulation, Modelling time-dependent partial differential equations using a moving mesh approach based on conservation, Joint state and parameter estimation using data assimilation with application to morphodynamic modelling, Three-dimensional Scattering Problems with applications to Optical Security Devices, Correlated observation errors in data assimilation, 4D-Var for high resolution, nested models with a range of scales, A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations, Displacement Assimilation for Ocean Models, The Application of PV-based Control Variable Transformations in Variational Data Assimilation, Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations, A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations, Four dimensional variational data assimilation for Hamiltonian problems, Unique extension of atomic functionals of JB*-Triples, An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications, Methods of targeting observations for the improvement of weather forecast skill, A moving mesh finite element method for the numerical solution of partial differential equations and systems, Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples, Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling, High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction, Information Content of Observations in Variational Data Assimilation, Bounds on Quantities of Physical Interest, Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts, Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems, Numerical Methods for Macroscopic Traffic Models, The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling, Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations, Numerical Techniques for Morphodynamic Modelling, Development of linear models for data assimilation in numerical weather prediction, The semi lagrangian method in atmospheric modelling, Data Assimulation in Ocean Circulation with Systematic Errors. Woolnough - A numerical model of sediment deposition on saltmarshes. 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. J. Hudson - Numerical techniques for conservation laws with source terms.. H.S. A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction. N.Fulcher - The Finite Element Approximation of the Natural Frequencies of a Circular Drum. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows, M. Henderson - Extending the edge-colouring of graphs, K. Allen - The propagation of large scale sediment structures in closed channels, D. Cariolaro - The 1-Factorization problem and same related conjectures, A.C.P. The shallow-water semi-geostrophic equations on the sphere. Man - Galerkin Methods for Coupled Integral Equations. B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures. T. McDowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems. Radcliffe - Positive Schemes for the Linear Advection Equation. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB). Burton - Re-iterative methods for integral equations. P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. 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. S.L. A selection of dissertation titles are listed below, some of … K.J. C. Freshwater - The Muskingum-Cunge Method for Flood Routing. C.P. Thomas Jordan - Does Self-Organised Criticality Occur in the Tropical Convective System? An investigation of the dynamics of several equidistribution schemes, Re-iterative methods for integral equations. Griffith - Data assimilation for numerical weather prediction using control theory.. J. Bryans - Denotational semantic models for real-time LOTOS. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms. Numerical Modelling of Tidal Bores using a Moving Mesh, Evaluation of Fractional Dispersion Models, New methods for approximating acoustic wave transmission through ducts, Finite element modelling of multi-asset barrier options, Finite element modelling of the atmosphere using the shallow water equations, The computation of spectral representations for evolution PDE, A moving mesh method for the discontinuous Galerkin finite element technique, Application of the phase/amplitude method to the study of trapped waves in the atmosphere and oceans, A moving mesh finite element method for the shallow water equations, Investigation of waiting times in non-linear diffusion equations using a moving mesh method, A moving finite element method for high order nonlinear diffusion problems, High frequency boundary element methods for scattering by complex polygons, The use of numerical methods in solving pricing problems for exotic financial derivatives with a stochastic volatility, Best fits with adjustable nodes and scale invariance, Analysis of integral operators from scattering problems, A moving Lagrangian mesh model of a lava dome volcano and talus slope, Scale analysis of short term forecast errors, Electromagnetic scattering by simple ice crystal shapes, Development of a simplified adaptive finite element model of the Gulf Stream, The behaviour of 4-D Var for a highly nonlinear system, Data dependent mesh generation for peicewise linear interpolation, A collocation method for high frequency scattering by convex polygons, Approximations to linear wave scattering by topography using an integral equation approach, Outdoor sound propagation and the boundary element method, Numerical modelling of islands and capture zone size distributions in thin film growth, Numerical schemes for a non-linear diffusion problem, Efficient evaluation of highly oscillatory integrals, Investigation into how the reduction of length scales affects the flow of viscoelastic fluid in parallel plate geometries, Ageostrophic wind storms in the central Caspian sea, Using optimal estimation theory for improved rainfall rates from polarization radar, Vorticity extremes in numerical simulations of 2-D geostrophic turbulence, Two dimensional turbulence in the atmosphere and oceans, Energetics and vertical structure of the thermohaline circulation, Numerical schemes applied to the Burgers and Buckley-Leverett equations, Embedding methods for the numerical solution of convolution equations, A comparative study of computational methods in cosmic gas dynamics, The point source methods in inverse acoustic scattering, Improving global glacier modelling by the inclusion of parameterised subgrid hypsometry within a three-dimensional, dynamical ice sheet model, Flow through porous media: recovering permeability data from incomplete information by function fitting, Heat waves: their climatic and biometeorological nature in two north american reigions, Application of conservation laws with source terms to the shallow water equations and crowd dynamics, Application of parameter estimation to meteorology and food processing, Investigation of a new macroscopic model of traffic flow, An application of the re-iterated Galerkin approximation in 2-dimensions, The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries, Adaptive mesh refinement using subdivision of unstructured elements for conservation laws, The Valuation of weather derivatives using partial differential equations, Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation.

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