Browsing Applied Mathematics by Title
Now showing items 405-424 of 494
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Sexual Behavior, Risk Perception, And Hiv Transmission Can Respond To Hiv Antiviral Drugs And Vaccines Through Multiple Pathways
(Nature Publishing Group, 2015-10-28)There has been growing use of highly active antiretroviral treatment (HAART) for HIV and significant progress in developing prophylactic HIV vaccines. The simplest theories of counterproductive behavioral responses to such ... -
Shape & cutoff in superconducting qubits, work fluctuations in correlation creation, & critical commentary
(University of Waterloo, 2019-01-22)Part I We apply the Unruh-DeWitt model for a qubit interacting with a quantum field to a superconducting qubit. We use the flexibility of this model, as compared to the spin-boson model used widely in the literature, ... -
Short-wave vortex instabilities in stratified flow
(University of Waterloo, 2013-12-17)Density stratification is one of the essential underlying physical mechanisms for atmospheric and oceanic flow. As a first step to investigating the mechanisms of stratified turbulence, linear stability plays a critical ... -
Short-wave vortex instability in stratified flow
(Elsevier, 2016-01)In this paper we investigate a new instability of the Lamb–Chaplygin dipole in a stratified fluid. Through numerical linear stability analysis, a secondary peak in the growth rate emerges at vertical scales about an order ... -
The Sigma-Delta Modulator as a Chaotic Nonlinear Dynamical System
(University of Waterloo, 2007-01-23)The sigma-delta modulator is a popular signal amplitude quantization error (or noise) shaper used in oversampling analogue-to-digital and digital-to-analogue converter systems. The shaping of the noise frequency spectrum ... -
Simulating lake dynamics: the effects of bathymetry and bottom drag
(University of Waterloo, 2011-10-31)This work seeks, through numerical simulations as well as analysis, to derive from relatively simple models an intuitive understanding of the dynamics and behaviour of flow in lakes near the bottom boundary. The main body ... -
Simulating Wintertime Lake Dynamics Using the MITgcm Ice Model
(University of Waterloo, 2020-09-23)Lake Erie is an important source of drinking water, a location for recreational activities and a haven for unique ecosystems (e.g. Point Pelee). Recent research has suggested that some wintertime processes are significantly ... -
Simulation of the Navier-Stokes Equations in Three Dimensions with a Spectral Collocation Method
(University of Waterloo, 2011-05-13)This work develops a nonlinear, three-dimensional spectral collocation method for the simulation of the incompressible Navier-Stokes equations for geophysical and environmental flows. These flows are often driven by the ... -
Simulation of Vortex Interactions With a Solid Wall Using Adaptive Mesh Refinement
(University of Waterloo, 2016-05-12)One feature that is common to many fluid flows is that phenomena of interest often occur at disparate length scales, whether it be vortices interacting with a boundary layer, or shear instabilities on an internal gravity ... -
Simulations of Radiatively Driven Convection and Spatially Heterogeneous Solar Radiation Intensity in Ice-Covered Lakes
(University of Waterloo, 2023-12-22)At the end of winter as sunlight and increasing air temperatures melt the snow layer above the ice, allowing significant radiation from the sun to enter the water column. In the cold water regime (T < 4 °C, where 4 °C is ... -
Smooth centre manifolds for impulsive delay differential equations
(Elsevier, 2018-04-16)The existence and smoothness of centre manifolds and a reduction principle are proven for impulsive delay differential equations. Several intermediate results of theoretical interest are developed, including a variation ... -
Socio-Ecological Dynamics Of Caribbean Coral Reef Ecosystems And Conservation Opinion Propagation
(Nature Publishing Group, 2018-02-07)The Caribbean coral reef ecosystem has experienced a long history of deterioration due to various stressors. For instance, over-fishing of parrotfish - an important grazer of macroalgae that can prevent destructive overgrowth ... -
Solving Hyperbolic PDEs using Accelerator Architectures
(University of Waterloo, 2009-07-27)Accelerator architectures are used to accelerate the simulation of nonlinear hyperbolic PDEs. Three different architectures, a multicore CPU using threading, IBM’s Cell Processor, and Nvidia’s Tesla GPUs are investigated. ... -
Some Mathematical Perspectives of Graph Neural Networks
(University of Waterloo, 2022-05-12)Many real-world entities can be modelled as graphs, such as molecular structures, social networks, or images. Despite coming with such a great expressive power, the complex structure of graphs poses significant challenges ... -
Some Theory and Applications of Probability in Quantum Mechanics
(University of Waterloo, 2012-07-19)This thesis investigates three distinct facets of the theory of quantum information. The first two, quantum state estimation and quantum process estimation, are closely related and deal with the question of how to estimate ... -
Space-time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem
(University of Waterloo, 2024-05-22)In this thesis, we analyze a space-time hybridizable discontinuous Galerkin (HDG) method for the time-dependent advection-dominated advection-diffusion problem. It is well-known that solutions to these problems may admit ... -
Space-time hybridizable discontinuous Galerkin methods for free-surface wave problems
(University of Waterloo, 2020-08-28)Free-surface problems arise in many real-world applications such as in the design of ships and offshore structures, modeling of tsunamis, and dam breaking. Mathematically, free-surface wave problems are described by a set ... -
Sparse Identification of Epidemiological Models from Empirical Data
(University of Waterloo, 2018-09-20)Current modelling practices in mathematical epidemiology are predicated on mechanisms stemming from theoretical assumptions, such as mass action incidence. Deterministic disease models can describe many patterns observed ... -
A Sparse Random Feature Model for Signal Decomposition
(University of Waterloo, 2022-05-11)Signal decomposition and multiscale signal analysis provide useful tools for time-frequency analysis. In this thesis, an overview of the signal decomposition problem is given and popular methods are discussed. A novel ... -
Spatial and Temporal Discounting in a Social-Climate Model
(University of Waterloo, 2024-01-25)This thesis analyzes how individuals' devaluation of distant impacts of climate change affects mitigation behaviours and projected climate conditions. To approach this question, spatial and temporal discounting is applied ...