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Whitfield - The application of optimal control theory to life cycle strategies. Woolnough - A numerical model of sediment deposition on saltmarshes. Mac Donald - The numerical solution of free surface/pressurized flow in pipes.. Neeral Shah - Impact and implications of climate variability and change on glacier mass balance in Kenya Tomos Roberts - Non-oscillatory interpolation for the Semi-Lagrangian scheme Zak Kipling - Error growth in medium-range forecasting models Zoe Gumm - Bragg Resonance by Ripple Beds Muhammad Akram - Linear and Quadratic Finite Elements for a Moving Mesh Method Andrew Ash - Examination of non-Time Harmonic Radio Waves Incident on Plasmas Cassandra Moran - Harbour modelling and resonances Elena Panti - Boundary Element Method for Heat Transfer in a Buried Pipe Juri Parrinello - Modelling water uptake in rice using moving meshes Ashley Twigger - Blow-up in the Nonlinear Schrodinger Equation Using an Adaptive Mesh Method Chloe Ward - Numerical Evaluation of Oscillatory Integrals Christopher Warner - Forward and Inverse Water-Wave Scattering by Topography Fawzi Al Busaidi - Fawzi_Albusaidi Christopher Bowden - A First Step Towards the Calculation of a Connectivity Matrix for the Great Barrier Reef Evangelia-Maria Giannakopoulou - Flood Prediction and Uncertainty Victoria Heighton - 'Every snowflake is different' Thomas Jordan - Does Self-Organised Criticality Occur in the Tropical Convective System?
Pollard - Preconditioned conjugate gradient methods for serial and parallel computers..
Smith - Adaptive finite difference solutions for convection and convection-diffusion problems.
The leading method of the research is the analysis of the structure of the mathematical modeling process and the development of a system of tasks aimed to form training activities that are adequate to the identified elements.
The authors offer to use the system of changed tasks contained in school mathematics textbooks.
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.
Smith - Minimising Time-Stepping Errors in Numerical Models of the Atmosphere and Ocean Amandeep Virdi - The Influence of the Agulhas Leakage on the Overturning Circulation from Momentum Balances Charlotta Howarth - Integral Equation Formulations for Scattering Problems David Fairbairn - Comparison of the Ensemble Transform Kalman Filter with the Ensemble Transform Kalman Smoother Mark Payne - Mathematical Modelling of Platelet Signalling Pathways Mesh Generation and its application to Finite Element Methods Mary Pham - Mesh Generation and its application to Finite Element Methods Sarah Cole - Blow-up in a Chemotaxis Model Using a Moving Mesh Method Danila Volpi - Estimation of parameters in traffic flow models using data assimilation Dale Partridge - Analysis and Computation of a Simple Glacier Model using Moving Grids David Mac Leod - Evaluation of precipitation over the Middle East and Mediterranean in high resolution climate models Joanne Pocock - Ensemble Data Assimilation: How Many Members Do We Need? Maisey - Vorticity Preserving Lax-Wendroff Type Schemes C. Radcliffe - Positive Schemes for the Linear Advection Equation D. Man - Galerkin Methods for Coupled Integral Equations. Laird - A New Method for Solving the 2-D Advection Equation. Mc Dowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems. Shahrill - Explicit Schemes for Finding Soliton Solutions of the Korteweg-de Vries Equation. Weston - A Marker and Cell Solution of the Incompressible Navier-Stokes Equations for Free Surface Flow. Ariffin - Grid Equidistribution via Various Algorithmic Approaches. Brown - Two Data Assimilation Techniques for Linear Multi-input Systems. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives. Freshwater - The Muskingum-Cunge Method for Flood Routing. Barnes - Reaction-diffusion waves in an isothermal chemical system with a general order of autocatalysis. Mc Allister - First and second order complex differential equations. Higgs - Nonlinear diffusion in reservoir simulation. Horrocks - Fokker-Planck model of stochastic acceleration: a study of finite difference schemes. Sadhra - Investigating dynamical systems using the cell-to-cell mapping. Wilson - A refined numerical model of sediment deposition on saltmarshes. Bishop - The modelling and analysis of the equations of motion of floating bodies on regular waves. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics. Coad - 1-D and 2-D simulations of open channel flows using upwinding schemes. Ali - Application of control techniques to solving linear systems of equations. Sarah Grintzevitch - Heat waves: their climatic and biometeorological nature in two north american reigions Helen Mansley - Dense water overflows and cascades Polly Smith - Application of conservation laws with source terms to the shallow water equations and crowd dynamics Peter Taylor - Application of parameter estimation to meteorology and food processing Kate Alexander - Investigation of a new macroscopic model of traffic flow Luke Bennetts - An application of the re-iterated Galerkin approximation in 2-dimensions Peter Spence - The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries Daniel Vollmer - Adaptive mesh refinement using subdivision of unstructured elements for conservation laws Clare Harris - The Valuation of weather derivatives using partial differential equations Sarah Kew - Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation Emma Quaile - Rotation dominated flow over a ridge Jemma Shipton - Gravity waves in multilayer systems Winnie Chung - A Spectral Method for the Black Scholes Equations Penny Marno - Crowded Macroscopic and Microscopic Models for Pedestrian Dynamics Malachy Mc Connell - On the numerical solution of selected integrable non-linear wave equations Stavri Mylona - An Application of Kepler's Problem to Formation Flying using the Störmer-Verlet Method Sarah Brodie - Numerical Modelling of Stratospheric Temperature Changes and their Possible Causes Matt Sayer - Upper Ocean Variability in the Equatorial Pacific on Diurnal to Intra-seasonal Timescales Laura Stanton - Linearising the Kepler problem for 4D-var Data Assimilation R. Brad - An Implementation of the Box Scheme for use on Transcritical Problems D. Garwood - A Comparison of two approaches for the Approximating of 2-D Scattered Data, with Applications to Geological Modelling R. Smith - The Evolution of Travelling Waves in a Simple Model for an Ionic Autocatalytic System P.