Browsing Applied Mathematics by Title
Now showing items 77-96 of 489
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Data-Driven Methods for System Identification and Lyapunov Stability
(University of Waterloo, 2023-01-27)This thesis focuses on data-driven 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 ... -
The de Broglie-Bohm Causal Interpretation of Quantum Mechanics and its Application to some Simple Systems
(University of Waterloo, 2003)The de Broglie-Bohm causal interpretation of quantum mechanics is discussed, and applied to the hydrogen atom in several contexts. Prominent critiques of the causal program are noted and responses are given; it is argued ... -
Decentralized contact tracing protocols and a risk analysis approach to pandemic control
(University of Waterloo, 2022-12-23)Non-pharmaceutical interventions (NPIs) can protect against pandemic pathogens, but they depend on behaviour change, and so can impose costs on quality of life and civil liberties. With careful system design and risk ... -
Decoupling of Information Propagation from Energy Propagation
(University of Waterloo, 2016-08-31)Information and energy are concepts central to our understanding of nature. Their relevance, in physics, ranges from fundamental physics, e.g., in black hole physics, all the way to future quantum computing technology. ... -
Dependence of model energy spectra on vertical resolution
(American Meteorological Society, 2016-03)Many high-resolution atmospheric models can reproduce the qualitative shape of the atmospheric kinetic energy spectrum, which has a power-law slope of −3 at large horizontal scales that shallows to approximately −5/3 in ... -
Design of Tubular Network Systems Using Circle Packing and Discrete Optimization
(University of Waterloo, 2015-12-10)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 input-output-to-state stability property, for singularly perturbed systems is examined in this work. This work extends the result of a paper by Christofides & Teel wherein they ... -
Detecting and distinguishing transitions in ecological systems: model and data-driven approaches
(University of Waterloo, 2020-01-22)There exists a plethora of systems that have the capacity to undergo sudden transitions that result in a significantly different state or dynamic. Consider the collapse of fisheries, outbreak of disease or transition to a ... -
Determining relaxation times for porous media: Theory, measurement, and the inverse problem
(University of Waterloo, 2007-08-03)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 so-called Carr-Purcell-Meiboom-Gill (CPMG) technique. We ... -
Development and Application of Models and Diagnostics for Geophysical Fluid Flows
(University of Waterloo, 2019-01-07)This thesis presents the development and application of numerical tools for simulating and diagnosing quasi-geostrophic fluid systems. In this thesis we present a new numerical model called SPIQG that is pseudo-spectral ... -
Dimensionality Reduction of the Chemical Master Equation
(University of Waterloo, 2019-01-11)The dynamics of biochemical systems show significant variability when the reactant populations are small. Standard approaches via deterministic modeling exclude such variability. A well established stochastic model, the ... -
Direct Numerical Simulation of Salt Fingering Gravity Currents and Double-Diffusive Rayleigh-Taylor Instabilities
(University of Waterloo, 2017-01-18)Double-diffusion refers to a class of instabilities that develops when the density of a fluid depends on two components with different diffusivities. For example, when warm, salty water is layered over cool, fresh water, ... -
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, 2018-08-14)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, 2012-04-23)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 ... -
The discontinuous Galerkin method on Cartesian grids with embedded geometries: spectrum analysis and implementation for Euler equations
(University of Waterloo, 2012-09-21)In this thesis, we analyze theoretical properties of the discontinuous Galerkin method (DGM) and propose novel approaches to implementation with the aim to increase its efficiency. First, we derive explicit expressions ... -
Disease Dynamics And Costly Punishment Can Foster Socially Imposed Monogamy
(Nature Publishing Group, 2016-04-01)Socially imposed monogamy in humans is an evolutionary puzzle because it requires costly punishment by those who impose the norm. Moreover, most societies were-and are-polygynous; yet many larger human societies transitioned ... -
Disease Interventions Can Interfere With One Another Through Disease-Behaviour Interactions
(Public Library of Science, 2015-06-01)Theoretical models of disease dynamics on networks can aid our understanding of how infectious diseases spread through a population. Models that incorporate decision-making mechanisms can furthermore capture how behaviour-driven ... -
Distorted Wave Born Approximation For Inelastic Atomic Collision
(University of Waterloo, 2007-07-17)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, 2010-01-20)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 ... -
Dynamical Systems Methods Applied to the Michaelis-Menten and Lindemann Mechanisms
(University of Waterloo, 2009-08-06)In the first part of this thesis, we will explore an iterative procedure to determine the detailed asymptotic behaviour of solutions of a certain class of nonlinear vector differential equations which approach a nonlinear ...