Browsing Applied Mathematics by Title
Now showing items 394-413 of 489
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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 ... -
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. ...