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Recent PhD Theses - Applied Mathematics

 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 |

PhD Theses 2017

Jared Penney

Direct Numerical Simulation of Salt Fingering Gravity Currents and Double-Diffusive Rayleigh-Taylor Instabilities

Sepideh Afshar

Lithium-Ion battery SOC estimation

Ali Mahdipour Shirayeh

Evolutionary Dynamics of Cancer: Spatial and Heterogeneous Effects           

PhD Theses 2016

Giuseppe Sellaroli

Non-compact groups, tensor operators and applications to quantum gravity

Robert H. Jonsson

Decoupling of Information Propagation from Energy Propagation

John Lang                          

Mathematical Modelling of Social Factors in Decision Making Processes at the Individual and Population Levels

John Yawney

Stability of Coastal Jets: Linear Stability Calculations and Nonlinear Simulations

Kristopher Rowe

Simulation of Vortex Interactions With a Solid Wall Using Adaptive Mesh Refinement

Manda Winlaw                            

Algorithms and Models for Tensors and Networks with Applications in Data Science

Anton Baglaenko       

The Effects of Confinement on Kelvin-Helmholtz Billows

PhD Theses 2015

Taghreed Sugati

On Stability and Stabilization of Hybrid Systems

Wilten Nicola

Bifurcation Analysis of Large Networks of Neurons

Herbert Tang

The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model

Noel Chalmers Superconvergence, Superaccuracy, and Stability of the Discontinuous Galerkin Finite Element Method
Puneet Sharma

Modeling Interactions of Graphene with Electrolyte in the Field-Effect Transistor Configuration

Daniel Otero

Function-valued Mappings and SSIM-based Optimization in Imaging

Sina Khani

Large eddy simulations and subgrid scale motions in stratified turbulence

Ilona Anna Kowalik-Urbaniak                      

The quest for "diagnostically lossless" medical image compression using objective image quality measures

PhD Theses 2014

Michael Dunphy Focusing and Vertical Mode Scattering of the First Mode Internal Tide via Mesoscale Eddy Interactions
Peter Stechlinski Qualitative Theory of Switched Integro-differential Equations with Applications
Colin Phipps Mathematical models for angiogenic, metabolic and apoptotic processes in tumours
Andree Susanto High-Order Finite-Volume Schemes for Magnetohydrodynamics
Derek Steinmoeller High-Order Numerical Methods in Lake Modelling
Venkata Manem Mathematical Modeling of Secondary Malignancies and Associated Treatment Strategies
Alex Shum Optimal Direction-Dependent Path Planning for Autonomous Vehicles

PhD Theses 2013

József Vass On the Geometry of IFS Fractals and its Applications
Andrijana ​Burazin Application of Mixture Theory to solid tumors and normal pressure hydrocephalus
Nancy Soontiens Stratified Flow Over Topography: Steady Nonlinear Waves, Boundary Layer Instabilities, and Crater Topography
Amenda Chow Control of Hysteresis in the Landau-Lifshitz Equation
Rasha Al Jamal Bounded Control of the Kuramoto-Sivashinsky equation
Wentao Liu Three Dimensional Hydrodynamic Modelling of Lake Erie: Kelvin Wave Propagation and Potential Effects of Climate Change on Thermal Structure and Dissolved Oxygen 
Minghua Lin Angles, Majorization, Wielandt Inequality and Applications
Killian Miller Algebraic Multigrid for Markov Chains and Tensor Decomposition

PhD Theses 2012

Rahul Rahul Kinetic Modeling of Pyruvate Recycling Pathways in Pancreatic β-Cells
Ruibin Qin The discontinuous Galerkin method on Cartesian grids with embedded geometries: spectrum analysis and implementation for Euler equations
Dominique Brunet A Study of the Structural Similarity Image Quality Measure with Applications to Image Processing
Yasunori Aoki Study of Singular Capillary Surfaces and Development of the Cluster Newton Method
Easwar Magesan Characterizing Noise in Quantum Systems
Christopher Ferrie Some Theory and Applications of Probability in Quantum Mechanics
Dhanaraja Kasinathan H-∞ optimal actuator location
Wai Man NG Energy Shaping for Systems with Two Degrees of Underactuation
Matthew Johnston Topics in Chemical Reaction Network Theory

PhD Theses 2011

Raluca Jessop                                                                             Stability and Hopf Bifurcation Analysis of Hopfield Neural Networks with a General Distribution of Delays
Yufang Hao Generalizing sampling theory for time-varying Nyquist rates using self-adjoint extensions of symmetric operators with deficiency indices (1,1) in Hilbert spaces
Mohamad Alwan Qualitative Properties of Stochastic Hybrid Systems and Applications
Yanwei Wang Efficient Stockwell Transform with Applications to Image Processing
Christopher Subich Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method
Timothy Rees Internal Wave Generation and Near-Resonant Interactions: Theory and Applications
Volodymyr Gerasik

Energy transport in saturated porous media

PhD Theses 2010

Jun Liu                         

Qualitative Studies of Nonlinear Hybrid Systems

Kathleen Wilkie                              

Cerebrospinal Fluid Pulsations and Aging Effects in Mathematical Models of Hydrocephalus

Sean Speziale

A Poroelastic Model of Transcapillary Flow

Nataliya Portman

The Modelling of Biological Growth: a Pattern Theoretic Approach

PhD Theses 2009

Rudy Gunawan Bayesian Inference Methods Applied to Cancer Research
Gibin George Powathil                       Modeling of Brain Tumors: Effects of Microenvironment and Associated Therapeutic Strategies
Matthew Calder Dynamical Systems Methods Applied to the Michaelis-Menten and Lindemann Mechanisms

PhD Theses 2008

Gregory Mayer Resolution Enhancement in Magnetic Resonance Imaging by Frequency Extrapolation
Cedric Beny Information flow at the quantum-classical boundary
Lijun Wang Internet Congestion Control: Modeling and Stability Analysis
Kahrizsangi Ebrahimi Inverse Problems and Self-similarity in Imaging
Robert Martin                                  Bandlimited functions, curved manifolds, and self-adjoint extensions of symmetric operators

PhD Theses 2007

Shannon Kennedy Hedging Contingent Claims in Markets with Jumps
Alexander Korobov                 Spectral analysis of internal waves generated by tide-topography interaction
Qing Wang Stability and Boundedness of Impulsive Systems with Time Delay
Duncan Mowbray Hydrodynamic Modelling of the Electronic Response of Carbon Nanotubes
Donald Campbell The Sigma-Delta Modulator as a Chaotic Nonlinear Dynamical System