Browsing Applied Mathematics by Title
Now showing items 142-161 of 489
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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 ... -
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 ... -
A Floating Ball and Two Asymptotic Problems in Capillarity
(University of Waterloo, 2021-06-02)The study of capillary phenomena can be traced back to the age of Aristotle. In this thesis, a floating ball and two asymptotic problems in capillarity are considered, all of which include surface tension and gravity. The ... -
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 ... -
Floating Bodies with Surface Tension
(University of Waterloo, 2016-08-18)Capillary phenomena have been studied by mathematicians and physicists for hundreds of years. In this thesis, both two-dimensional(2D) and three-dimensional(3D) bodies floating on an unbounded reservoir are studied based ... -
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 ... -
The forest transition and ecological thresholds: resilience, recovery, and predictions
(University of Waterloo, 2018-01-19)A central topic in modeling land use change is to understand the forest transition from deforestation to net reforestation. Agricultural land use change is the main driver of this phenomenon; classically, agricultural ... -
Formation Control of Multi-agent Systems via Impulsive Strategy
(University of Waterloo, 2023-09-08)Multi-agent systems (MASs) involving cooperative control problems such as consensus tracking of distributed networks, flocking control with obstacle avoidance, and attitude alignment have received a considerable amount of ... -
From Astrophysics of Galaxies to Binary Black Hole Mergers: Theoretical Modelling of the Gravitational-Wave Bias Parameter
(University of Waterloo, 2023-01-04)In the past few decades, the field of cosmology has become a fascinating field of study in physics. The computational advances and precision observational measurements such as Cosmic Microwave Background (CMB) measurements ... -
From Fundamentals to Spectroscopic Applications of Density Functional Theory
(University of Waterloo, 2020-05-29)Density functional theory (DFT) and its time-dependent counterpart (TDDFT) are crucial tools in material discovery, drug design, biochemistry, catalysis, and nanoscience. However, despite its exact theoretical basis, ... -
From Gravity to Hopf Algebra Lattice Models
(University of Waterloo, 2019-10-02)This thesis addresses three different problems related to quantum gravity. In the first problem we will discuss the two natural ways to encode gravity through geometric structures. One is the much acclaimed Einstein's ... -
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 ... -
Galerkin Finite Element Based Modeling of One Dimensional Packed Bed Reactor for Underground Coal Gasification (UCG) Process
(IEEE, 2020-12-11)Mathematical models of a complex physicochemical underground coal gasification process involve multidimensional non-linear partial differential equations (PDEs). Therefore, researchers always seek a suitable numerical ...