Browsing Theses by Subject "Applied Mathematics"
Now showing items 1-20 of 149
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Algebraic Multigrid for Markov Chains and Tensor Decomposition
(University of Waterloo, 2013-01-23)The majority of this thesis is concerned with the development of efficient and robust numerical methods based on adaptive algebraic multigrid to compute the stationary distribution of Markov chains. It is shown that classical ... -
Analysis of Asymptotic Solutions for Cusp Problems in Capillarity
(University of Waterloo, 2007-09-27)The capillary surface $u(x,y)$ near a cusp region satisfies the boundary value problem: \begin{eqnarray} \nabla \cdot \frac{\nabla u}{\sqrt{1+\left|\nabla u \right|^2}}&=&\kappa u \qquad \textrm{in }\left\{(x,y): ... -
Analysis of Plasmons Sustained on the Surface of Graphene
(University of Waterloo, 2014-08-11)This thesis is broken into two parts, both dealing with the role of two-dimensional graphene in electronic and optical applications. The first section develops a phenomenological relationship for the polarizability of the ... -
An Analysis of Stockwell Transforms, with Applications to Image Processing
(University of Waterloo, 2014-04-30)Time-frequency analysis is a powerful tool for signal analysis and processing. The Fourier transform and wavelet transforms are used extensively as is the Short-Time Fourier Transform (or Gabor transform). In 1996 the ... -
Angles, Majorization, Wielandt Inequality and Applications
(University of Waterloo, 2013-05-29)In this thesis we revisit two classical definitions of angle in an inner product space: real-part angle and Hermitian angle. Special attention is paid to Krein’s inequality and its analogue. Some applications are given, ... -
Annular Capillary Surfaces: Properties and Approximation Techniques
(University of Waterloo, 2007-09-17)The capillary surface formed within a symmetric annular tube is analyzed. Assuming identical contact angles along each boundary, we consider surfaces u(x,y) that satisfy the capillary problem on an annular region. Several ... -
Application of Mixture Theory to solid tumors and normal pressure hydrocephalus
(University of Waterloo, 2014-01-15)In this thesis, the theory of poroelasticity, namely the Mixture Theory version -- a homogenized, macroscopic scale approach used to describe fluid flow through a porous medium -- is employed in three separate cases ... -
Application of repetitive control to the lateral motion in a roll-to-roll web system
(University of Waterloo, 2012-04-10)In a roll-to-roll web system lateral motion of a web caused by disturbances, which are often periodic, results in poor product quality. To reduce the effect of such disturbances, two control strategies are applied. First, ... -
Bandlimited functions, curved manifolds, and self-adjoint extensions of symmetric operators
(University of Waterloo, 2008-05-20)Sampling theory is an active field of research that spans a variety of disciplines from communication engineering to pure mathematics. Sampling theory provides the crucial connection between continuous and discrete ... -
Bayesian Analysis of Intratumoural Oxygen Data
(University of Waterloo, 2009-08-28)There is now ample evidence to support the notion that a lack of oxygen (hypoxia) within the tumour adversely affects the outcome of radiotherapy and whether a patient is able to remain disease free. Thus, there is increasing ... -
Bayesian Inference Methods Applied to Cancer Research
(University of Waterloo, 2009-12-11)The purpose of this Thesis is to present a Bayesian analysis of oncological data sets with particular focus on cervical carcinomas and ovarian cancers. Bayesian methods of data analysis have a very long history, and ... -
Bifurcation analysis of a system of Morris-Lecar neurons with time delayed gap junctional coupling
(University of Waterloo, 2008-08-27)We consider a system of two identical Morris-Lecar neurons coupled via electrical coupling. We focus our study on the effects that the coupling strength, γ , and the coupling time delay, τ , cause on the dynamics of the ... -
Bohmian Trajectories of the Two-Electron Helium Atom
(University of Waterloo, 2008-01-17)We introduce the de Broglie-Bohm causal interpreation of quantum mechanics and compare it to the standard interpretation of quantum mechanics, the Copenhagen interpretation. We examine the possibility of experimentally ... -
Bounded Control of the Kuramoto-Sivashinsky equation
(University of Waterloo, 2013-10-25)Feedback control is used in almost every aspect of modern life and is essential in almost all engineering systems. Since no mathematical model is perfect and disturbances occur frequently, feedback is required. The design ... -
Brownian Dynamics Simulation of Dusty Plasma: Comparison with Generalized Hydrodynamics
(University of Waterloo, 2010-04-14)Brownian dynamics (BD) simulation method has been widely used for studying problems in dispersed systems, such as polymer solutions, colloidal suspensions and more recently, complex (dusty) plasmas. The main problem addressed ... -
Cerebrospinal Fluid Pulsations and Aging Effects in Mathematical Models of Hydrocephalus
(University of Waterloo, 2010-08-20)In this Thesis we develop mathematical models to analyze two proposed causative mechanisms for the ventricular expansion observed in hydrocephalus: cerebrospinal fluid pulsations and small transmantle pressure gradients. To ... -
Characterizing Noise in Quantum Systems
(University of Waterloo, 2012-07-26)In practice, quantum systems are not completely isolated from their environment and the resulting system-environment interaction can lead to information leakage from the system. As a result, if a quantum system is to be ... -
Combination of Chemotherapy and Antiangiogenic Therapies: A Mathematical Modelling Approach
(University of Waterloo, 2009-09-08)A brief introduction to cancer biology and treatment is presented with a focus on current clinical advances in the delivery of chemotherapy and antiangiogenic therapies. Mathematical oncology is then surveyed with summaries ... -
Comparison of Approximation Schemes in Stochastic Simulation Methods for Stiff Chemical Systems
(University of Waterloo, 2009-07-30)Interest in stochastic simulations of chemical systems is growing. One of the aspects of simulation of chemical systems that has been the prime focus over the past few years is accelerated simulation methods applicable ... -
A Computational Study of Pressure Driven Flow in Waste Rock Piles
(University of Waterloo, 2012-08-30)This thesis is motivated by problems studied as part of the Diavik Waste Rock Pile Project. Located at the Diavik Diamond Mine in the Northwest Territories, with academic support from the University of Waterloo, the ...