Browsing Applied Mathematics by Title
Now showing items 468-487 of 491
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Topics in Chemical Reaction Network Theory
(University of Waterloo, 2012-01-10)Under the assumption of mass-action kinetics, systems of chemical reactions can give rise to a wide variety of dynamical behaviour, including stability of a unique equilibrium concentration, multistability, periodic ... -
Topics in early and late Universe cosmology
(University of Waterloo, 2020-08-11)In this thesis, we explore different problems in various areas of cosmology. The inflationary paradigm has been very successful in explaining cosmological observations. However, some problems still linger on. In the ... -
Topics in Quantum Foundations: Ontological Models, and Distinguishability as a Resource
(University of Waterloo, 2009-08-24)This thesis covers research in two disjoint research areas: The ontological model program (formerly hidden-variables program) for quantum theory has a long and noble tradition in the quantum foundations literature. By ... -
Topographically generated internal waves and boundary layer instabilities
(American Institute of Physics, 2015-08)Flow over topography has been shown to generate finite amplitude internal waves upstream, over the topography and downstream. Such waves can interact with the viscous bottom boundary layer to produce vigorous instabilities. ... -
Topological Quantum Computation and Protected Gates
(University of Waterloo, 2015-12-22)This thesis serves to give a mathematical overview of topological quantum computation and to apply the theory to characterize desirable fault-tolerant operations called protected gates. Topological quantum computation is ... -
Truncation selection and diffusion on random graphs
(Arxiv, 2017-08-31)Two-strategy evolutionary games on graphs have been extensively studied in the literature. A variety of graph structures, degrees of graph dynamics, and behaviours of replicators have been explored. These models have ... -
Turnpike Property for Generalized Linear-Quadratic Optimal Control Problem
(University of Waterloo, 2023-04-28)The turnpike phenomenon describes the long time behavior of optimally controlled systems whose optimal trajectories over a sufficiently large time horizon stay for most of the time close to a prescribed trajectory of the ... -
Two- and Three-Dimensional Coding Schemes for Wavelet and Fractal-Wavelet Image Compression
(University of Waterloo, 2001)This thesis presents two novel coding schemes and applications to both two- and three-dimensional image compression. Image compression can be viewed as methods of functional approximation under a constraint on the amount ... -
The two-space homogenization method
(University of Waterloo, 2012-10-04)In this thesis, we consider the two-space homogenization method, which produces macroscopic expressions out of descriptions of the behaviour of the microstructure. Specifically, we focus on its application to poroelastic ... -
Under-Ice Fluid Dynamics in Freshwater Lakes: Implications for Ecology in a Changing Climate
(University of Waterloo, 2021-08-24)An abundance of evidence exists to support the notion of annual winter blooms of phytoplankton, particularly diatoms, persistent in the surface waters of freshwater lakes located in temperate and boreal climatic zones. ... -
Universe Beyond Inflation and ΛCDM
(University of Waterloo, 2021-09-09)The current paradigm of universe, $\Lambda CDM$ model with an early phase of inflation, has been quite successful in describing our universe in a simple manner, yet matching well with the observational evidence. This model ... -
Unsteady Free Convection from Elliptic Tubes at Large Grashof Numbers
(University of Waterloo, 2008-09-11)This study solves the problem of unsteady free convection from an inclined heated tube both numerically and analytically. The tube is taken to have an elliptic cross-section having a constant heat flux applied to its ... -
Using numerics to explore the EPRL spinfoam amplitude
(University of Waterloo, 2020-08-25)The use of numerical methods in loop quantum gravity is still relatively untapped. Numerical methods are, however, a useful tool, and offer access to regimes that are as of yet inaccessible by analytical methods. This ... -
Vacuum Energy in Expanding Spacetime and Superoscillation - Induced Resonance
(University of Waterloo, 2008-05-20)This thesis is divided into two parts. The first part is a study of the general problem of vacuum energy or so-called `zero point fluctuations' of a quantum field on expanding spacetimes and the interplay between the ... -
Viewing Trends in Graph Connectivity as Early Warnings of Epidemics and Vaccine Crises
(University of Waterloo, 2020-12-15)When measles was rampant, suffering apparent, and relief desired, the prospect of vaccination was received with open arms by a grateful public. But it worked \emph{too} well, and opinions slowly diverged; scientists saw ... -
“Wait and see” vaccinating behavior during a pandemic: a game theoretic analysis
(Elsevier, 2011-07-26)During the 2009 H1N1 pandemic, many individuals adopted a “wait and see” approach to vaccinating until further information was available on the course of the pandemic and emerging vaccine risks. This behaviour implies two ... -
A walk through quantum noise: a study of error signatures and characterization methods
(University of Waterloo, 2019-09-17)The construction of large scale quantum computing devices might be one of the most exciting and promising endeavors of the 21st century, but it also comes with many challenges. As quantum computers are supplemented with ... -
Wall turbulence response to surface cooling and formation of strongly stable stratified boundary layers
(AIP, 2019-08-20)This paper investigates the processes by which stable boundary layers are formed through strong surface cooling imposed on neutrally stratified wall-bounded turbulence using high-resolution direct numerical simulation at ... -
Wave Refraction Effects in High Intensity Focused Ultrasound
(University of Waterloo, 2019-01-22)High-Intensity Focused Ultrasound (HIFU) is a promising field of research being developed as an alternative to surgery and radiation therapy for the treatment of tumours. Within this field, many current methods of ... -
Well-Posedness of Boundary Control Systems
(Society for Industrial and Applied Mathematics, 2003-01-01)Continuity of the input/output map for boundary control systems is shown through the system transfer function. Our approach transforms the question of continuity of the input/output map of a boundary control system to ...