Browsing Applied Mathematics by Subject "Applied Mathematics"
Now showing items 41-60 of 149
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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 ... -
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 ... -
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 ... -
A First Taste of Quantum Gravity Effects: Deforming Phase Spaces with the Heisenberg Double
(University of Waterloo, 2014-09-25)We present a well-defined framework to deform the phase spaces of classical particles. These new phase spaces, called Heisenberg doubles, provide a laboratory to probe the effects of quantum gravity. In particular, they ... -
Floating Bodies in the Absence of Gravity
(University of Waterloo, 2011-04-20)The study of infinitely long cylinders of constant cross-section floating in an infinite fluid bath in zero-gravity environments has primarily been focused on bodies whose cross-sections are strictly convex and sufficiently ... -
Flocking for Multi-Agent Dynamical Systems
(University of Waterloo, 2012-08-24)In this thesis, we discuss models for multi-agent dynamical systems. We study the tracking/migration problem for flocks and a theoretical framework for design and analysis of flocking algorithm is presented. The interactions ... -
Flow Down a Wavy Inclined Plane
(University of Waterloo, 2011-03-29)Under certain conditions, flow down an inclined plane destabilizes and a persistent series of interfacial waves develop. An interest in determining under what conditions a flow becomes unstable and how the interface ... -
Flow Separation on the β-plane
(University of Waterloo, 2009-05-15)In non-rotating fluids, boundary-layer separation occurs when the nearly inviscid flow just outside a viscous boundary-layer experiences an appreciable deceleration due to a region of adverse pressure gradient. The fluid ... -
Focusing and Vertical Mode Scattering of the First Mode Internal Tide via Mesoscale Eddy Interactions
(University of Waterloo, 2014-09-25)In this work we perform numerical experiments using the MITgcm to simulate the interaction of a mode-one internal tide with barotropic and baroclinic mode-one mesoscale eddies. We also employ the ray tracing equations to ... -
Function-valued Mappings and SSIM-based Optimization in Imaging
(University of Waterloo, 2015-08-27)In a few words, this thesis is concerned with two alternative approaches to imag- ing, namely, Function-valued Mappings (FVMs) and Structural Similarity Index Measure (SSIM)-based Optimization. Briefly, a FVM is a mathematical ... -
Gain-Scheduled Control of a Quadcopter UAV
(University of Waterloo, 2015-07-28)In this thesis we develop a gain-scheduled control law for the quadcopter unmanned aerial vehicle (UAV). Techniques from linear control theory are introduced and used to construct adaptive proportional and proportional-integral ... -
Gaining Information About a Quantum Channel Via Twirling
(University of Waterloo, 2008-07-31)Finding correctable encoding that protects against a quantum process is in general a difficult task. Two main obstacles are that an exponential number of experiments are needed to gain complete information about the quantum ... -
Generalizing sampling theory for time-varying Nyquist rates using self-adjoint extensions of symmetric operators with deficiency indices (1,1) in Hilbert spaces
(University of Waterloo, 2011-09-30)Sampling theory studies the equivalence between continuous and discrete representations of information. This equivalence is ubiquitously used in communication engineering and signal processing. For example, it allows ... -
Green’s Function for Poisson Equation in Layered Nano-Structures including Graphene
(University of Waterloo, 2015-05-04)The purpose of this thesis is to focus on the electrostatic properties of graphene-based nanostructures consisting of different materials, as well as their interactions with external electric charges, by solving the boundary ... -
H-∞ optimal actuator location
(University of Waterloo, 2012-05-17)There is often freedom in choosing the location of actuators on systems governed by partial differential equations. The actuator locations should be selected in order to optimize the performance criterion of interest. ... -
H2-Optimal Sensor Location
(University of Waterloo, 2014-06-24)Optimal sensor placement is an important problem with many applications; placing thermostats in rooms, installing pressure sensors in chemical columns or attaching vibration detection devices to structures are just a few ... -
Hedging Contingent Claims in Markets with Jumps
(University of Waterloo, 2007-09-25)Contrary to the Black-Scholes paradigm, an option-pricing model which incorporates the possibility of jumps more accurately reflects the evolution of stocks in the real world. However, hedging a contingent claim in ... -
High-Order Finite-Volume Schemes for Magnetohydrodynamics
(University of Waterloo, 2014-08-01)New high-order finite-volume numerical schemes for the magnetohydrodynamics equations are proposed in two and three dimensions. Two different sets of magnetohydrodynamics equations are considered. The first set is the ideal ...