Browsing Applied Mathematics by Title
Now showing items 83-102 of 494
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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 ... -
Discrete total variation in multiple spatial dimensions and its applications
(University of Waterloo, 2024-05-13)Total variation plays an important role in the analysis of stability and convergence of numerical solutions for one-dimensional scalar conservation laws. However, extending this approach to two or more spatial dimensions ... -
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 ... -
Dynamics And Control Of Foot-And-Mouth Disease In Endemic Countries: A Pair Approximation Model
(Elsevier, 2014-09-21)Previous mathematical models of spatial farm-to-farm transmission of foot and mouth disease (FMD) have explored the impacts of control measures such as culling and vaccination during a single outbreak in a country normally ... -
Dynamics of a Diffusive Nutrient-Phytoplankton-Zooplankton Model with Spatio-temporal Delay
(SIAM, 2021-01)We study a diffusive nutrient-phytoplankton-zooplankton (NPZ) model with spatio-temporal delay. The closed nature of the system allows the formulation of a conservation law of biomass that governs the ecosystem. We advance ... -
The Dynamics of Inhomogeneous Cosmologies
(University of Waterloo, 2004)In this thesis we investigate cosmological models more general than the isotropic and homogeneous Friedmann-Lemaître models. We focus on cosmologies with one spatial degree of freedom, whose matter content ... -
The Dynamics of the Beaufort Gyre
(University of Waterloo, 2020-09-23)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 anti-cyclonic direction, which leads to the deflection of fresh ...