Browsing Applied Mathematics by Type "Master Thesis"
Now showing items 2140 of 215

Computational and Theoretical Insights into MultiBody Quantum Systems
(University of Waterloo, 20210331)In generality, perfect predictions of the structure and dynamics of multibody quantum systems are few and far between. As experimental design advances and becomes more refined, experimentally probing the interactions of ... 
A Computational Study of Pressure Driven Flow in Waste Rock Piles
(University of Waterloo, 20120830)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 ... 
Consolidation and wave propagation in a porous medium
(University of Waterloo, 2006)Basic diffusion analytical solutions of onedimensional consolidation are presented for the case of a semiinfinite domain. Typical tractions considered include instantaneous loads of the medium with a free boundary ... 
Construction of Optimal Tubular Networks in Arbitrary Regions in R^3
(University of Waterloo, 20150810)In this thesis, we describe various algorithms for the construction of tubular networks in an arbitrary threedimensional region that possesses a principal direction along which the crosssection varies. The region can be ... 
Contrasting classical and quantum theory in the context of quasiprobability
(University of Waterloo, 20080822)Several finite dimensional quasiprobability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These representations are often defined ... 
Contributions to the Study of the Validity of Huygens' Principle for the Nonselfadjoint Scalar Wave Equation on Petrov Type D Spacetimes
(University of Waterloo, 2000)This thesis makes contributions to the solution of Hadamard's problem through an examination of the question of the validity of Huygens'principle for the nonselfadjoint scalar wave equation on a Petrov type D spacetime. ... 
Control of Nondeterministic Transition Systems for Linear Temporal Logic Specifications
(University of Waterloo, 20210201)Consider the formal synthesis problem in the continuous dynamical systems. A systematic approach is the abstractionbased method: constructing an abstraction of the original continuous system in the discrete space, and ... 
Controller Gain Optimization for Position Control of an SMA Wire
(University of Waterloo, 20070517)There has been an increasing interest in the field of `smart structures' and `smart materials'. In constructing smart structures, a class of materials called smart materials are often used as sensors and actuators. An ... 
Correlation and Communication via a Quantum Field
(University of Waterloo, 20190715)We study the ability of qubit detectors to i) extract correlations from, and ii) transmit quantum information through, a quantum field. We start by perturbatively studying the harvesting of correlations from thermal and ... 
A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology
(University of Waterloo, 20130828)In the field of quantum gravity, it is widely expected that some form of a minimum length scale, or ultraviolet cutoff, exists in nature. Recently, a new natural ultraviolet cutoff that is fully covariant was proposed. In ... 
DataDriven Methods for System Identification and Lyapunov Stability
(University of Waterloo, 20230127)This thesis focuses on datadriven methods applied to system identification and stability analysis of dynamical systems. In the first major contribution of the theorem we propose a learning framework to simultaneously ... 
Design of Tubular Network Systems Using Circle Packing and Discrete Optimization
(University of Waterloo, 20151210)In this thesis, we describe the design of tubular network systems that must occupy, as best as possible, regions that demonstrate some kind of longitudinal symmetry. In order to simplify the problem, the region of the ... 
Detectability of Singularly Perturbed Systems
(University of Waterloo, 2005)A form of detectability, known as the inputoutputtostate stability property, for singularly perturbed systems is examined in this work. This work extends the result of a paper by Christofides & Teel wherein they ... 
Determining relaxation times for porous media: Theory, measurement, and the inverse problem
(University of Waterloo, 20070803)This thesis provides an introduction to and analysis of the problem of determining nuclear magnetic resonance (NMR) relaxation times of porous media by using the socalled CarrPurcellMeiboomGill (CPMG) technique. We ... 
Direct Numerical Simulations of the Degeneration and Shear Instability of Large and Small Amplitude Basin Scale Internal Waves at Varied Aspect Ratios
(University of Waterloo, 20180814)This thesis presents high resolution simulations of the degeneration and shear instability of standing waves, or seiches, of varying amplitudes and aspect ratios in a continuously stratified fluid. It is well known that ... 
The Discontinuous Galerkin Method Applied to Problems in Electromagnetism
(University of Waterloo, 20120423)The discontinuous Galerkin method (DGM) is applied to a number of problems in computational electromagnetics. This is achieved by obtaining numerical solutions to Maxwell's equations using the DGM. The aim of these ... 
Distorted Wave Born Approximation For Inelastic Atomic Collision
(University of Waterloo, 20070717)An investigation of the problem of inelastic scattering process under the Coulomb Born approximation is given. Different approaches to calculate Coulomb wavefunctions in the momentum space representation are analyzed and ... 
Dynamic Magnetic Resonance Elastography
(University of Waterloo, 20100120)Magnetic Resonance Elastography (MRE) is a medical imaging technique used to generate a map of tissue elasticity. The resulting image is known as an elastogram, and gives a quantitative measure of stiffness in the examined ... 
The Dynamics of the Beaufort Gyre
(University of Waterloo, 20200923)The Beaufort gyre is located in the Canadian Arctic basin and is responsible for the dominant circulation of the Beaufort Sea. Currently, the gyre flows in an anticyclonic direction, which leads to the deflection of fresh ... 
The Early Universe: New Aspects of Cuscuton Theory, Modified Dispersion Relations and Pulsar Constraints on Vacuum Noise
(University of Waterloo, 20171026)The modern cosmology started blossoming in the early 1900s, with the theoretical framework provided by Einstein's general relativity. Soon after that, with observational discoveries such as expansion of cosmos by Hubble ...