Browsing Applied Mathematics by Title
Now showing items 102-121 of 489
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The Early Universe: New Aspects of Cuscuton Theory, Modified Dispersion Relations and Pulsar Constraints on Vacuum Noise
(University of Waterloo, 2017-10-26)The modern cosmology started blossoming in the early 1900s, with the theoretical framework provided by Einstein's general relativity. Soon after that, with observational discoveries such as expansion of cosmos by Hubble ... -
Early Warning Signals of Vaccine Scares.
(University of Waterloo, 2016-09-26)There exists strong evidence that vaccines are extremely effective in the prevention of pediatric infectious disease, yet despite this evidence, vaccine refusal is still popular amongst some parents. Existing mathematical ... -
The Effect of Input Signals Time-Delay on Stabilizing Traffic with Autonomous Vehicles
(IEEE, 2021-05)This paper extends the results in [1] considering time delays in Standard Car Following models (CFMs). In [1], connected vehicles are characterized with CFMs models and controlled using linear string analysis to stabilize ... -
The Effect of Time-Varying Boundary Conditions on the Generation of Sum and Difference Frequency Tones in a Coaxial Loudspeaker
(University of Waterloo, 2009-06-22)A coaxial loudspeaker in which the woofer and tweeter oscillate at angular frequencies ω_1 and ω_2 respectively, is known to produce sum and difference frequencies ω_± = ω_1 ± ω_2. The generation of these can be attributed ... -
Effects of a Geostrophic Current on the Propagation and Generation of Internal Tides
(University of Waterloo, 2021-08-30)Internal tides (ITs) are ubiquitous in a stratified ocean where they are generated in response to tidal flows incident upon bottom topography. Along-shelf currents or boundary currents are ocean currents commonly observed ... -
The Effects of Confinement on Kelvin-Helmholtz Billows
(University of Waterloo, 2016-01-15)Turbulence is one of the most interesting and important, yet poorly understood, aspects of fluid mechanics. The transition from an unstable laminar flow to a fully turbulent flow can follow many paths depending on the ... -
The effects of dielectric decrement and finite ion size on differential capacitance of electrolytically gated graphene
(Elsevier, 2018-06-01)We analyze the effects of dielectric decrement and finite ion size in an aqueous electrolyte on the capacitance of a graphene electrode, and make comparisons with the effects of dielectric saturation combined with finite ... -
The Effects of Extrinsic and Intrinsic Noise on a Tumour and a Proposed Metastasis Model
(University of Waterloo, 2015-11-30)Cancer is a ubiquitous disease that afflicts millions of people worldwide and we will undoubtedly encounter it at some point in our lives, whether it be random strangers on the news, or someone much closer. As such, research ... -
The effects of flagellar hook compliance on motility of monotrichous bacteria: A modeling study
(AIP Publishing, 2012-06)A crucial structure in the motility of flagellated bacteria is the hook, which connects the flagellum filament to the motor in the cell body. Early mathematical models of swimming bacteria assume that the helically shaped ... -
Effects of the Dielectric Environment on the Electrical Properties of Graphene
(University of Waterloo, 2013-08-30)This thesis provides the study of graphene’s electrostatic interaction with the substrate surrounding it. Mathematical models based on current experimental configurations of graphene field-effect transistors (FET) are ... -
The Effects of the Earth's Rotation on Internal Wave Near-resonant Triads and Weakly Nonlinear Models
(University of Waterloo, 2007-08-24)This thesis investigates the effects of the earth's rotation on internal waves from two perspectives of nonlinear internal wave theory: near-resonant triads and weakly nonlinear models. We apply perturbation theory ... -
Efficiency-based hp-refinement for finite element methods
(University of Waterloo, 2007-08-23)Two efficiency-based grid refinement strategies are investigated for adaptive finite element solution of partial differential equations. In each refinement step, the elements are ordered in terms of decreasing local ... -
Efficient electrochemical model for lithium-ion cells
(2017-09-12)Lithium-ion batteries are used to store energy in electric vehicles. Physical models based on electro-chemistry accurately predict the cell dynamics, in particular the state of charge. However, these models are nonlinear ... -
Efficient Finite-difference Methods for Sensitivity Analysis of Stiff Stochastic Discrete Models of Biochemical Systems
(University of Waterloo, 2017-12-07)In the study of Systems Biology it is necessary to simulate cellular processes and chemical reactions that comprise biochemical systems. This is achieved through a range of mathematical modeling approaches. Standard methods ... -
Efficient Runge-Kutta Based Local Time-Stepping Methods
(University of Waterloo, 2016-04-27)The method of lines approach to the numerical solution of transient hyperbolic partial differential equations (PDEs) allows us to write the PDE as a system of ordinary differential equations (ODEs) in time. Solving this ... -
Efficient Stockwell Transform with Applications to Image Processing
(University of Waterloo, 2011-05-20)Multiresolution analysis (MRA) has fairly recently become important, and even essential, to image processing and signal analysis, and is thus having a growing impact on image and signal related areas. As one of the most ... -
Emergence and Implications of Conservation Opinion Propagation in Dynamic Coupled Socio-Ecological Systems
(University of Waterloo, 2021-04-22)Human behaviour is rarely a static phenomenon. In life, individuals are presented with choices that define the trajectories they will experience days, weeks or months later. As an example consider farmer decision-making ... -
Emergence and spread of drug resistant influenza: A two-population game theoretical model
(Elsevier, 2016-10-01)Background The potential for emergence of antiviral drug resistance during influenza pandemics has raised great concern for public health. Widespread use of antiviral drugs is a significant factor in producing resistant ... -
Energy Shaping for Systems with Two Degrees of Underactuation
(University of Waterloo, 2012-01-11)In this thesis we are going to study the energy shaping problem on controlled Lagrangian systems with degree of underactuation less than or equal to two. Energy shaping is a method of stabilization by designing a suitable ... -
Energy transport in saturated porous media
(University of Waterloo, 2011-04-29)The energy analysis of the wave motion in the Lamb’s problem for a poroelastic half-space in the framework of Biot’s theory is presented. The results for the energy velocity and quality factor of poroelastic waves are ...