Recent PhD Theses - Applied Mathematics

 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2022 | 2023 | 2024

PhD Theses 2024

Chuanzheng Wang Safety-Critical Control for Dynamical Systems under Uncertainties

PhD Theses 2023

Donovan Allum

Simulations of Radiatively Driven Convection and Spatially Heterogeneous Solar Radiation Intensity in Ice-Covered Lakes

Maxwell Fitzsimmons

Properties of difference inclusions with computable reachable set

Maria-Eftychia Papageorgiou

Local measurements in Relativistic Quantum Information: localization and signaling

Esha Saha

Expanding the Scope of Random Feature Models: Theory and Applications

Zhanlue Liang

Formation Control of Multi-agent Systems via Impulsive Strategy

Dorsa Mohammadrezaei

Integrating Experimental and Computational Approaches to Optimize 3D Bioprinting of Cancer Cells
Aditya Jain  Improved Diagnostics & Performance for Quantum Error Correction
Cameron Meaney Applications of Deep Learning to Differential Equation Models in Oncology
Panagiotis Tsimiklis Higher Gauge Theory and Discrete Geometry
Julian Smith-Roberge Motion from Growth, Order, and Incompressibility
Vahid Nourian Modeling and simulation of uni- and multi-flagellar bacterial locomotion in a viscous fluid

PhD Theses 2022

James Petrie Decentralized contact tracing protocols and a risk analysis approach to pandemic control

Yiming Meng

Bifurcation and Robust Control of Instabilities in the Presence of Uncertainties

Mana Donganont Consensus Problems in Hybrid Multi-Agent Systems
Russell Milne

A spatially explicit modelling approach for predicting and managing the effects of coral reef stressors

Alison Cheeseman

A Critical Examination of Two Specific Approaches Used to Characterize Medical Images: i) Projection-based Descriptors for Image Retrieval and ii) Estimating Fractal Dimensions of Discrete Sets

Qiaoyin Pan q-deformed LQG in three dimensional space-time
Krishna Dutt Limiting techniques for the discontinuous Galerkin method on unstructured meshes
Andrew Grace Numerical simulations of convection and gravity currents near the temperature of maximum density
Keegan Kirk Numerical analysis of space-time hybridized discontinuous Galerkin methods for incompressible flows
Brydon Eastman Machine Learning Techniques and Stochastic Modeling in Mathematical Oncology
Benjamin Lovitz Tensors: Entanglement, Geometry, and Combinatorics

PhD Theses 2019

Yangang Chen               

Numerical Methods for Hamilton-Jacobi-Bellman Equations with Applications

Kamran Akbari Relativistic Theory of the Interaction of Two-Dimensional Materials with Moving Charged Particles
Lindsey Daniels The Interactions of Graphene with Ionic Solutions and Their Effects on the Differential Capacitance for Sensing Applications
Kevin E.M. Church Invariant manifold theory for impulsive functional differential equations with applications
Chengzhu Xu Numerical Simulations of Internal Solitary and Solitary-Like Waves: Wave Interactions and Instabilities

PhD Theses 2018

Julian Rennert  Quasi-Hopf Symmetry in Loop Quantum Gravity with Cosmological constant and Spinfoams with timelike surfaces
Andrew Giuliani A parallel, adaptive discontinuous Galerkin method for hyperbolic problems on unstructured meshes
Ian Hincks Exploring Practical Methodologies for the Characterization and Control of Small Quantum Systems
Daniel Puzzuoli Entanglement in single-shot quantum channel discrimination
David Deepwell  High resolution simulations of mode-2 internal waves: transport, shoaling, and the influence of rotation
Tahmina Akhter

Stochastic Effects and Fractal Kinetics in the Pharmacokinetics of Drug Transport

PhD Theses 2017

Cong Wu

Stability and Control of Caputo Fractional Order Systems

Monjur Morshed

Efficient Finite-difference Methods for Sensitivity Analysis of Stiff Stochastic Discrete Models of Biochemical Systems

Alexander James Maxwell Howse

Nonlinear Preconditioning Methods for Optimization and Parallel-In-Time Methods for 1D Scalar Hyperbolic Partial Differential Equations

Zhen Wang 

Clustering behaviour in networks with time delayed all-to-all coupling

Kexue Zhang

Impulsive Control of Dynamical Networks

Mikhail Panine

On Perturbative Methods in Spectral Geometry

Keegan Keplinger

Persistent oscillations in the Aplysia bag cell network

Subasha Wickramarachchi

The hydrodynamics of two-dimensional oscillating flows over
ripples: the effect of asymmetries in ripple shape and currents

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