Appl. Math.: Past Graduate Theses 1986-2001

Past Graduate Theses: 1986 -

M.Sc., 2006

Liang, D. (D.J. Jeffrey): A Rule-Based Component-Free Vector Algebra Package

Ph.D., 2006

Gagne-Portelance, M.-P. (D.G.C. McKeon/R.M. Corless): Computer Assisted Calculation in Quantum Field Theory
Chen, Z. (P. Yu): Hopf Bifurcation Control for Time-Delayed Dynamical Systems and Applications
Amiraslani, A. (R.M. Corless): New Algorithms for Matrices, Polynomials and Matrix Polynomials

M.Sc., 2005

Kopliu, E. (M. Davison): Revenue Management in the Car Rental Industry
Hanif, T. (G. McKeon): Radiative Corrections in a Vector-Tensor Model
Rezvani Dehaghani, N. (R.M. Corless): Approximate Polynomials in Different Bases

Ph.D., 2005

Wang, S. (P. Yu): Hilbert's 16th Problem and Computation of Limit Cycles
Fraser, B. (C. Denniston/M. Mueser): Molecular Dynamics Simulations of Diblock Copolymers Under Shear
Heffernan, J. (L. Wahl): Transition Time Distributions and Stochasticity in Immunological Models of HIV Infection
Ilie, S. (R.M. Corless): Computational Complexity of Numerical Solutions of Initial Value Problems for Differential Algebraic Equations

Ph.D., 2004

Benghorbal, M. (R.M. Corless): Power Series Solutions of Fractional Differential Equations and Symbolic Derivatives
Anderson, L. (H. Rasmussen/M. Davison): Development of a Hybrid Model for Electricity Spot Prices
Zhang, Y. (G. Reid/M. Geisbrecht): Algorithms for Noncommutative Differential Operators

M.Sc., 2004

Drozd, J. (P.H. Poole): Computer Simulation of Granular Matter: A Study of an Industrial Grinding Mill
Mukadam, R. (H.Rasmussen/K. Abdella): Solving Option Pricing Partial Differential Equations Using the Numerical Method of Lines
Wiktorowicz, B. (J.M. Floryan): Stability of Wall-Transpiration-Modified Plane Couette Flow
Vujic, M. (H. Rasmussen): A Parallel Sparse Revised Simplex Algorithm Using MPI
James, N. (P. Yu): Interpolation and Extrapolation of Air Currents Using Wavelet Networks
Miransky, A. (M.Davison): Pricing Defaultable Bonds and Options in a CIR Risk & Default Framework
Smith, C. (P.J. Sullivan): Scalar Concentration Reduction in a Contaminant Cloud

Ph.D., 2003

Haslam, M. (R. Mallier): Electromagnetic Scattering from Doubly Periodic Surfaces with Application to Ocean Physics and Remote Sensing
Li, X. (C. Essex): Fractional Calculus, Fractal Geometry, and Stochastic Processes
Thompson, M. (H. Rasmussen): Real Options Valuation and Optimization of Energy Assets in Competitive Markets
Gaede, S. (H. Rasmussen): Optimization in Intensity Modulated Radiation Therapy

M.Sc., 2003

Shakoori, A.(R.M. Corless): Solving Bivariate Polynomials by Eigenvalues
Couillard, M. (M. Davison): Alternative Stochastic Models in Finance and Economics
Koronka, T. (D.J. Jeffrey): Pulp Flow in a Single Disc Wood-Chip Refiner
Bah, A. (M. Davison): Pricing Weather Derivatives
Kay, J. (H. Rasmussen): Analysis of Multidimensional Bermudan Options

Ph.D., 2002

Doeschl, A. (H. Rasmussen): Assessing Braided River Dynamics with a Cellular Model
Yuan Yuan (P. Yu): Computation of the Simplest Normal Forms of Differential Equations
Yao, W. (P. Yu/C. Essex): Improving Security of Communication via Chaotic Synchronization
Fattahi, N. (V. Elias): Problems in Applied Mathematics: Analysis of Bermudan Options, and Selected Topics in the Analysis of Quantum Field-Theoretical Perturbative Series
Saika-Voivod, I. (P.H. Poole): Computer Simulation of Silica: Thermodynamics, Dynamics and Phase Behaviour

M.Sc., 2002

Xie, F. (G. Reid): A Numerical Method for 1 Dimensional Action Function of the Photonic Band Gap
Huang, Y. (M. Davison): Financial Model Risk in Option Pricing
Heffernan, J. (L. Wahl): The Effects of Genetic Drift and Mutation in Experimental Evolution
Marcus, B. (M. Davison): Valuation of Canadian Warrants
Whitehead, T. (A.B. MacIsaac): Monte Carlo Pricing of American Options

Ph.D., 2001

L.C. Martin (D.G.C. McKeon): Generalization and Applications of the Onofri Heat Kernel Expansion in Quantum Field Theory
U. Aladl (H. Rasmussen/A.S. Deakin): Numerical Solution of the Helmholtz and the Wave Equations in Unbounded Domains
D. Stubbs (H. Rasmussen/M. Davison): Symmetries and Analytic Structure of Phase Separation on Curved Manifolds
S. Zhu (P. Yu) : Computation of Normal form of Differential Equations Using Perturbation Methods
D. Harnett (T.G. Steele): Scalar Glueballs: A Gaussian Sum-Rules Analysis
F. Chishtie (V. Elias): Renormalization Group and Pade Applications to Perturbative and Non-Perturbative Quantum Field Theory
C.H. Alderson(Woolley) (M. Zamir): Wave Propagation through Vascular Networks: Effects of Stiffness of the Vascular Wall

M.Sc., 2001

Xiaofang Xie (R.M. Corless): Symbolic Circuit Analysis in Maple
Lemac, G. (D.J. Jeffrey): The Eccentric Trigonometric Functions - An Extension of the Classic Trigonometric Function
Alfonsi, F. (D.J. Jeffrey): Modeling the Mechanics of a Wood Chip Refiner

Ph.D., 2000

G. Alobaidi (R. Mallier): American Options and their Strategies

Ph.D., 1999

T. Schopflocher (P.J. Sullivan): The Representation of the Concentration PDF in Turbulent Flow as a Mixture
K. Sprague (V. Elias): Investigations and Techniques in Nonperturbative Quantum Field Theory
F.A. Dilkes (G. McKeon): Spin and Curvature in the Worldline Path Integral
X. Liu (R.M. Corless): Symbolic Tools for the Analysis Of Nonlinear Dynamical Systems
K. Nguyen (D.G.C. McKeon): The Yukawa Coupling in Three Dimensions

M.Sc., 1999

L. Yao (P.Yu): Analysis on Inclined Cables Under Distributed and Concentrated
G. Litt (R.M. Corless): Unwinding Numbers for the Logarithmic, Inverse Trigonometric and Inverse Hyperbolic Functions
Z. Zhao (P. Yu): Direct Perturbation Analysis on Nonlinear Cable Vibrations

Ph.D., 1998

A. Cabal (J.M. Floryan): Stability of Wall Bounded Flow due to the Presence of Distributed Surface Roughness
A.M. Allison (R.M. Corless): Analytical Investigation of a Semi-empirical Flow-induced Vibration Model
Y. Xue (V. Elias): Quantum Field-Theoretical Investigations in Nonperturbative QCD and Beyond-The-Standard-Model Electroweak Physics
F. Beardwood (H. Rasmussen): Computational Methods of Solving Inverse Problems: Geophysical and Medical Applications

M.SC., 1998

S. Saujani (R. Mallier): The Nonlinear Stability of a tanh3y Mixing Layer
J. Huang (T. Lookman): Numerical Study of the Growth Kinetics for TDGL Equations
S.X. Wang (P. Yu): Simulation of Chaos Synchronization

Ph.D., 1997

S. M. K. Sial (T. Lookman): A Finite Volume Method for Binary and Surfacant Mixtures
A. H. Fariborz (V. Elias): Investigations in Light-Quark Low-Energy Quantum Chromodynamics
M. O. Ahmed (H. Rasmussen): An Exploration of Compact Finite Difference Methods for the Numerical Solution of PDE

Ph.D., 1996

T. Moschandreou (M. Zamir): Heat Transfer with Pulsatile Flow in a Tube
Y. Wu (T. Lookman): Langevin Simulations of First-Order Phase Transitions in Fluids and Materials
A. Kolakowska (J. D. Talman): Relativistic Variational Calculations for the Helium-Like Systems

M.Sc., 1996

M. C. Haslam (M. Zamir): Mechanics of Oscillatory Flow in Tube of Elliptic Cross-section
W. John Majski (T. Lookman): Data Requirements for Correlation Dimension Estimates

Ph.D., 1995

M. Davison (C. Essex): Deterministic and Spatial Limits on Randomness
X. Fan (D. Jeffrey): Modelling the Motion of Pulp Inside Wood-Chip Disc Refiners
D. J. Moseley (H. Rasmussen): Computational Solution of Inverse Problems with Simulated Annealing
Pratibha (D. Jeffrey): Maple Tools for Hydrodynamic Interaction Problems
H. Ye (P. Sullivan): A New Statistic for the Contaminant Dilution Process in Turbulent Flows, CAMS/SCMA Doctoral Dissertation Award 1996

M.Sc., 1995

J. Diemer (E. Croitoro): A Method of Solution for Slightly Compressible Materials
F. Dilkes (G. McKeon): Massive QED in 2+1 Dimensions Using Operator Regularization
X. Liu (R. Corless): Perturbation Package to Solve ODE's in Maple
K. B. Sprague (V. Elias): The Vacuum-Condensate Contribution to the Electromagnetic Vertex of a Condensing Fermion
D. Stubbs (V. Elias): Continuous Symmetries of the Abelian Higgs Model

Ph.D., 1994

A. Chandna (S. Dennis): Viscous Flow of an Incompressible Fluid Past an Impulsively Started Normal Flat Plate
W. K. Heagy (P. Sullivan): The Reduction of Concentration Values in a Contaminant Cloud in Environmental Flows
M. Tong (V. Elias): Nonperturbative Fermion Propagator, the Axial Ward Identity and Dynamical Electroweak Symmetry Breaking
G. Tsoupros (G. McKeon): Interacting Scalar Fields on 2+1 Dimensional Manifolds

M.Sc., 1994

G. L. Holden (C. Essex): Radiative Entropy Equilibrium and Equal Thermodynamic Protocol
T. Schopflocher (R.Migneron/R. Mendel): The Effect of Different Forms of the Confining Potential on Various Physical Quantities in Heavy- Light Quark-Antiquark System via Klein-Gordon Equation

Ph.D., 1993

K. Abdella (H. Rasmussen): Shear Flow Instability and Numerical Simulation of Droplets, CAMS/SCMA Doctoral Dissertation Award 1993
S. D'Alessio (S. dennis): Models for Steady State Flow Past a Cylinder
B. Duan (M. Zamir): Effects of Wave Reflections in Pulsatile Flow Through Vascular Networks
N. C. A. Hill (V. Elias): Dynamical Symmetry Breaking and Electroweak Processes
R. A. Quadir (M. Zamir): Flow in Tubs of Non-Circular Cross Sections
J.-P. Pascal (H. Rasmussen): Unsteady Rotational Shear Flow of Power Law Fluids
W. Zhao (H. C. Lee): Some New Results in Topological Field Theories

M.Sc., 1993

K. Nguyen (R. Mendel): A Solution of Heavy-Light Scalar-Quark System in the Leading-Log Effective-Action Model
L. Martin (G. McKeon): Calculation of the QED One-Loop Vertex Diagram Using the Quantum Mechanical Path Integral in Quantum Field Theory

Ph.D., 1992

D. Zhao (T. Lookman): Lattice Statistics of Polymer Adsorption

M.Sc., 1992

D. W. Canning (M. A. H. Nerenberg): Error Measures in Correlation Dimension Calculation
D. Li (E. Croitoro): A Class of Successive Approximation Solutions in Nonlinear Elasticity
C. Zhang (K. De'Bell): Percolation in Quasicrystals

Ph.D., 1991

M. R. Ahmady (V. Elias): Electroweak Calculations in the Presence of Nonperturbative QCD Effects
H.H. Li (J. Nuttal): Strong Asymptotics of Pade Polynomials

M.Sc., 1991

D. Moseley (P. Sullivan): A Closure Hypothesis for Contaminant Fluctuations in Turbulent Flow
E. O. Talvila (D. Naylor): A Finite Bessel Transform

Ph.D., 1990

G. W. Frank (M. A. H. Nerenberg): Recovering the Lapunov Exponent from Chaotic Time Serias
S. P. Sawchuk (M. Zamir): Circular Cylinder in Axial Flow

M.Sc., 1990

V. Vangelov (H. Rasmussen): On Perturbation and Numerical Solutions of Some Moving Boundary Value Problems
M. Tong (V. Elias): <> Contributions to (),() Penguin Amplitude

Ph.D., 1989

J. S. Young (S. C. R. Dennis): Steady asymmetric flow of a viscous fluid past a cylinder, CAMS/SCMA Doctoral Dissertation Award 1990
G. Kember (Blackwell): Transient Heat Conduction Due to a Circular Pipe Buried in a Half-Space

M.Sc., 1989

H. Yang (M. Zamir): Poiseuille Flow in a Nonsymmetrically Divided Channel

Ph.D., 1988

S. Samant (G. McKeon): Operator Regularization
T. Steele (V. Elias): QCD Condensates, the Operator-Product Expanion and the Dynamical Quark Mass, John Charles Polanyi Prize 1989
H. Yip (P. Sullivan): Predicting Contaminant Values in Environmental Flows

M.Sc., 1988

M. Ahmady (V. Elias): Dynamical Mass Generation of Quarks
N. Hill (V. Elias): Diagonalization of the Electroweak Propagator

Ph.D., 1987

A. M. Chowdhury (G. McKeon): Preregularization and Anomalies
S. Kocabiyik (S. Dennis): A Study of Oseen Flow Using Integral Conditions
P. L. Schuck (H. Rasmussen): Numerical Solution of Subsidence Mound Problems in Porous Media

M.Sc., 1987

R. A. Begum (H. Rasmussen): The Free Surface on a Liquid Filling a Trench Heated from its Sides
D. Zhao (D. Naylor): The Solution of the Mix Boundary-Value Problem in the Theory of Diffraction by a Semi-Infinite Plane

Ph.D., 1986

C. Y. Loh (H. Rasmussen): Numerical Techniques for Free Surface Problems in Viscous Incompressible and Porous Flows

M.Sc., 1986

L. B. Culumovic (G. McKeon): Some Aspects of the Classical String Model and its Interaction with the Electromagnetic Field
P. J. Young (M. Zamir): Theories of Pulsatile Blood Flow and Wave Propagation in Large Arteries