Browsing Applied Mathematics by Title
Now showing items 436-455 of 491
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Stability of Coastal Jets: Linear Stability Calculations and Nonlinear Simulations
(University of Waterloo, 2016-05-16)In this thesis, a new numerical ocean model, Tempest, has been developed for application to simple process studies of large-scale ocean dynamics. This model allows for hydrostatic, non-hydrostatic, quasi-hydrostatic, and ... -
Stability of Connected Autonomous Vehicle Networks with Commensurate Time Delays
(IEEE, 2021-05)In this paper, we study the stability of Connected Autonomous Vehicle Networks (CAVN) with commensurate time delays under the assumption that communication time delays increase as the distance between the vehicles increases. ... -
Stability of Hybrid Singularly Perturbed Systems with Time Delay
(University of Waterloo, 2006)Hybrid singularly perturbed systems (SPSs) with time delay are considered and exponential stability of these systems is investigated. This work mainly covers switched and impulsive switched delay SPSs . Multiple ... -
Stability of Impulsive Switched Systems in Two Measures
(University of Waterloo, 2010-09-28)This thesis introduces the notion of using stability analysis in terms of two measures for impulsive switched systems. Impulsive switched systems are defined in the context of hybrid system theory and the motivation for ... -
Stability of Nonlinear Functional Differential Equations by the Contraction Mapping Principle
(University of Waterloo, 2016-08-29)Fixed point theory has a long history of being used in nonlinear differential equations, in order to prove existence, uniqueness, or other qualitative properties of solutions. However, using the contraction mapping ... -
Stability, bifurcation and phase-locking of time-delayed excitatory-inhibitory neural networks
(AIMS Press, 2020-11)We study a model for a network of synaptically coupled, excitable neurons to identify the role of coupling delays in generating different network behaviors. The network consists of two distinct populations, each of which ... -
Statistical Physics Of Vaccination
(Elsevier, 2016-12-09)Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand ... -
Stochastic Effects and Fractal Kinetics in the Pharmacokinetics of Drug Transport
(University of Waterloo, 2018-05-16)Pharmacokinetics (PK) attempts to model the progression and time evolution of a drug in the human body from administration to the elimination stage. It is the primary quantitative approach used in drug discovery/development ... -
Stochastic synchronization of semi-Markovian jump chaotic Lur’e systems with packet dropouts subject to multiple sampling periods
(Elsevier, 2019-09)This paper is concerned with the problem of stochastic synchronization for semi-Markovian jump chaotic Lur’e systems. Firstly, packet dropouts and multiple sampling periods are both considered. By input-delay approach and ... -
Strategic Decision-making about Travel during Disease Outbreaks: a Game Theoretical Approach
(The Royal Society, 2018-08-20)Visitors can play an important role in the spread of infections. Here, we incorporate an epidemic model into a game theoretical framework to investigate the effects of travel strategies on infection control. Potential ... -
Strategic Interactions in Antiviral Drug Use During an Influenza Pandemic
(Public Library of Science, 2017-01-12)Background: The evolution of antiviral drug resistance during influenza pandemics has created widespread concern. Use of antiviral drugs is a main contributor to the evolution of drug-resistant strains. Moreover, there are ... -
Stratified Flow Over Topography: Steady Nonlinear Waves, Boundary Layer Instabilities, and Crater Topography
(University of Waterloo, 2013-11-29)This thesis investigates several aspects of stratified flow over isolated topography in ocean, lake, and atmospheric settings. Three major sub-topics are addressed: steady, inviscid internal waves trapped over topography ... -
Structured Reverse Mode Automatic Differentiation in Nested Monte Carlo Simulations
(University of Waterloo, 2017-01-17)In many practical large scale computational problems, the calculation of partial derivatives of the object function f with respect to input parameters are entailed and the dimension of inputs n is much larger the one of ... -
Studies of tumor heterogeneity, tumor microenvironment, and radiotherapy: A mathematical and computational approach
(University of Waterloo, 2019-01-04)Radiotherapy uses high doses of energy to eradicate cancer cells and thus destroy the bulk of tumors. Radiobiologists try to precisely deliver radiation to a targeted area in order to maximize the cancer cell kill rate ... -
A Study of Infectious Disease Models with Switching
(University of Waterloo, 2009-05-20)Infectious disease models with switching are constructed and investigated in detail. Modelling infectious diseases as switched systems, which are systems that combine continuous dynamics with discrete logic, allows for the ... -
Study of Singular Capillary Surfaces and Development of the Cluster Newton Method
(University of Waterloo, 2012-08-29)In this thesis, we explore two important aspects of study of differential equations: analytical and computational aspects. We first consider a partial differential equation model for a static liquid surface (capillary ... -
A Study of the Structural Similarity Image Quality Measure with Applications to Image Processing
(University of Waterloo, 2012-09-07)Since its introduction in 2004, the Structural Similarity (SSIM) index has gained widespread popularity as an image quality assessment measure. SSIM is currently recognized to be one of the most powerful methods of assessing ... -
Superconvergence, Superaccuracy, and Stability of the Discontinuous Galerkin Finite Element Method
(University of Waterloo, 2015-09-08)This thesis is concerned with the investigation of the superconvergence, superaccuracy, and stability properties of the discontinuous Galerkin (DG) finite element method in one and two dimensions. We propose a novel method ... -
Synchronization in Heterogeneous Networks of Hippocampal Interneurons
(University of Waterloo, 2005)The hippocampus is one of the most intensely studied brain structures and the oscillatory activity of the hippocampal neurons is believed to be involved in learning and memory consolidation. Therefore, studying rhythm ... -
Synchronization of Complex-Valued Dynamical Networks
(University of Waterloo, 2021-09-27)Dynamical networks (DNs) have been broadly applied to describe natural and human systems consisting of a large number of interactive individuals. Common examples include Internet, food webs, social networks, neural networks, ...