Browsing Applied Mathematics by Title
Now showing items 128-147 of 500
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Entropy-Stable Positivity-Preserving Schemes for Multiphase Flows
(University of Waterloo, 2024-01-22)High-intensity focused ultrasound is a promising non-invasive medical technology that has been successfully used to ablate tumors, as well as in the treatment of other conditions. Researchers believe high-intensity focused ... -
Epidemic Models with Pulse Vaccination and Time Delay
(University of Waterloo, 2011-08-22)In this thesis we discuss deterministic compartmental epidemic models. We study the asymp- totic stability of the disease-free solution of models with pulse vaccination campaigns. The main contributions of this thesis ... -
Error-Tolerant Coding and the Genetic Code
(University of Waterloo, 2006)The following thesis is a project in mathematical biology building upon the so-called "error minimization hypothesis" of the genetic code. After introducing the biological context of this hypothesis, I proceed to develop ... -
Estimating the COVID-19 R number: a bargain with the devil?
(Elsevier, 2020-10-22)The basic reproduction number R0 is the average number of infections produced by a single infectious person in a population with no immunity. R0 has a close relative named the effective reproduction number R: the average ... -
Estimation for Linear and Semi-linear Infinite-dimensional Systems
(University of Waterloo, 2019-05-21)Estimating the state of a system that is not fully known or that is exposed to noise has been an intensely studied problem in recent mathematical history. Such systems are often modelled by either ordinary differential ... -
Evaluation Of Serogroup C And Acwy Meningococcal Vaccine Programs: Projected Impact On Disease Burden According To A Stochastic Two-Strain Dynamic Model
(Elsevier, 2015-01-01)Objective: Advisory committees in Canada and the United States have updated recommendations for quadrivalent meningococcal conjugate vaccines against serogroups A, C, W135, and Y. Our objective was to evaluate optimally ... -
Evolutionary Dynamics of Cancer: Spatial and Heterogeneous Effects
(University of Waterloo, 2017-01-23)Despite significant advances in the study of cancer and associated combination therapeutic treatments, cancer still remains one of the most common and complex often-terminal diseases. Acquisition of high-throughput ... -
Exact and Perturbed Friedmann-Lemaitre Cosmologies
(University of Waterloo, 2007-08-07)In this thesis we first apply the 1+3 covariant description of general relativity to analyze n-fluid Friedmann-Lemaitre (FL) cosmologies; that is, homogeneous and isotropic cosmologies whose matter-energy content consists ... -
Examination of Parametric Subharmonic Instability of K₁ Internal Tides Generated by Tidal Flow over a Ridge
(University of Waterloo, 2022-09-26)Internal gravity waves are thought to be a predominant source of mixing in the Earth's oceans. Here, we explore the interplay between two phenomena experienced by internal gravity waves - parametric subharmonic instability ... -
An Examination of Quantum Foundations
(University of Waterloo, 2011-09-01)Quantum foundations is a field of diverse goals and methods. In this thesis, I will present three different approaches to quantum foundations, each emphasizing a different goal or perspective. The causaloid framework has ... -
Examining the consistency between subglacial hydrology and basal friction inversion modeling for Slessor Glacier, East Antarctica.
(University of Waterloo, 2022-08-31)In light of rising global surface temperatures and sea-level rise, it is more important now than ever to understand what role the cryosphere will play in the Earth's evolution. The Antarctic ice sheet contains enough ice ... -
Existence and uniqueness of attracting slow manifolds: An application of the Ważewski principle
(University of Waterloo, 2017-01-23)In this work we present some of the geometric constructs that aid the application of the Ważewski Theorem. To illustrate the procedure the Michaelis-Menten mechanism will be considered. We show that M, a slow manifold, ... -
Expanding the Scope of Random Feature Models: Theory and Applications
(University of Waterloo, 2023-12-07)Data, defined as facts and statistics collected together for analysis is at the core of every inference or decision made by any living organism. Right from the time we are born, our brain collects data from everything that ... -
Explicit Runge-Kutta time-stepping with the discontinuous Galerkin method
(University of Waterloo, 2018-04-20)In this thesis, the discontinuous Galerkin method is used to solve the hyperbolic equations. The DG method discretizes a system into a semi-discrete system and a system of ODEs is obtained. To solve this system of ODEs ... -
Explorations of Infinitesimal Inverse Spectral Geometry
(University of Waterloo, 2013-10-04)Spectral geometry is a mathematical discipline that studies the relationship between the geometry of Riemannian manifolds and the spectra of natural differential operators defined on them. The spectra of Laplacians are ... -
Exploring Practical Methodologies for the Characterization and Control of Small Quantum Systems
(University of Waterloo, 2018-09-04)We explore methodologies for characterizing and controlling small quantum systems. We are interested in starting with a description of a quantum system, designing estimators for parameters of the system, developing robust ... -
Extensions of Randomized Benchmarking
(University of Waterloo, 2015-08-18)The characterization of noisy quantum circuits is an important step in the development of large-scale quantum computers. As experimental quantum architectures approach the threshold for fault-tolerant quantum computing, ... -
Feature Identification
(University of Waterloo, 2020-08-04)We present several methods for identifying time periods of interest (features) in a wide range of data sets. The gamma method is a computationally inexpensive, flexible feature identification method which uses a comparison ... -
Feature identification in time series data sets
(Elsevier, 2019-05)We present a computationally inexpensive, flexible feature identification method which uses a comparison of time series to identify a rank-ordered set of features in geophysically-sourced data sets. Many physical phenomena ... -
Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations
(University of Waterloo, 2018-08-09)The study of finite element methods for the numerical solution of differential equations is one of the gems of modern mathematics, boasting rigorous analytical foundations as well as unambiguously useful scientific ...