Browsing Applied Mathematics by Title
Now showing items 390-409 of 493
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Resolution Dependence and Subfilter-Scale Motions in Idealized Squall-Line Simulations
(AMS, 2020-07-08)In this paper, the sensitivity of idealized squall-line simulations to horizontal resolution, subgrid turbulence mixing scheme, and subfilter-scale motion is discussed. Inconsistent results from numerical simulations ... -
Resolution Enhancement in Magnetic Resonance Imaging by Frequency Extrapolation
(University of Waterloo, 2008-12-16)This thesis focuses on spatial resolution enhancement of magnetic resonance imaging (MRI). In particular, it addresses methods of performing such enhancement in the Fourier domain. After a brief review of Fourier theory, ... -
Revising Ecological Assumptions About Human Papillomavirus Interactions And Type Replacement
(Elsevier, 2014-06-07)The controversy over whether vaccine-targeted HPV types will be replaced by other oncogenic, non-vaccine-targeted types remains unresolved. This is in part because little is known about the ecology of HPV types. Patient ... -
Road Surface Estimation Using Machine Learning
(University of Waterloo, 2023-01-19)Vehicle motion control systems are present on commercial vehicles to improve safety and driving comfort. Many of these control systems could be further improved given accurate online information about the road condition ... -
Robustly Complete Temporal Logic Control Synthesis for Nonlinear Systems
(University of Waterloo, 2019-12-18)Modern systems such as spacecrafts and autonomous vehicles are complex yet safety-critical, and therefore the control methods that can deal with different dynamics and constraints while being provably correct are sought ... -
Role Of Word-Of-Mouth For Programs Of Voluntary Vaccination: A Game-Theoretic Approach
(Elsevier, 2015-11-01)We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. The key feature consists in combining a game-theoretic model for the spread of ... -
Root-Locus Theory for Infinite-Dimensional Systems
(University of Waterloo, 2007-09-27)In this thesis, the root-locus theory for a class of diffusion systems is studied. The input and output boundary operators are co-located in the sense that their highest order derivatives occur at the same endpoint. It is ... -
Safety-Critical Control for Dynamical Systems under Uncertainties
(University of Waterloo, 2024-02-15)Control barrier functions (CBFs) and higher-order control barrier functions (HOCBFs) have shown great success in addressing control problems with safety guarantees. These methods usually find the next safe control input ... -
Scale-dependent anisotropy in forced stratified turbulence
(American Physical Society, 2019-04)In stratified turbulence, buoyancy forces inhibit vertical motion and lead to anisotropy over a wide range of length scales, which is characterized by layerwise pancake vortices, thin regions of strong shear, and patches ... -
Self-Similarity of Images and Non-local Image Processing
(University of Waterloo, 2011-06-28)This thesis has two related goals: the first involves the concept of self-similarity of images. Image self-similarity is important because it forms the basis for many imaging techniques such as non-local means denoising ... -
Sensitivity of Idealized Squall Line Simulation to Resolution and Subgrid Turbulence Mixing
(University of Waterloo, 2019-01-23)In this project, the sensitivity of idealized squall line simulations to horizontal grid spacing and turbulent mixing parameterization will be discussed. Inconsistent results from numerical simulations of convective ... -
Sensitivity of the Thermal Structure and Circulation Patterns of a Simple Idealized Lake and Lake Erie to External Driving Forces
(University of Waterloo, 2022-12-22)Lake Erie has been a great source of economic growth and drinking water for both Canada and the United States. All lakes in temperate regions that stratify during summer are prone to hypoxia as they will experience some ... -
Sensor Choice for Minimum Error Variance Estimation
(Institute of Electrical and Electronics Engineers, 2017-06-12)A Kalman filter is optimal in that the variance of the error is minimized by the estimator. It is shown here, in an infinite-dimensional context, that the solution to an operator Riccati equation minimizes the steady-state ... -
Sex differences in solute and water handling in the human kidney: Modeling and functional implications
(Elsevier, 2021-06)The kidneys maintain homeostasis by controlling the amount of water and electrolytes in the blood. That function is accomplished by the nephrons, which transform glomerular filtrate into urine by a transport process mediated ... -
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 ...