Browsing Applied Mathematics by Title
Now showing items 349-368 of 489
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A parallel, adaptive discontinuous Galerkin method for hyperbolic problems on unstructured meshes
(University of Waterloo, 2018-09-04)This thesis is concerned with the parallel, adaptive solution of hyperbolic conservation laws on unstructured meshes. First, we present novel algorithms for cell-based adaptive mesh refinement (AMR) on unstructured ... -
Parameterizing a dynamic influenza model using longitudinal versus age-stratified case notifications yields different predictions of vaccine impacts
(2018-09-06)Dynamic transmission models of influenza are often used in decision-making to identify which vaccination strategies might best reduce influenza-associated health and economic burdens. Our goal was to use laboratory confirmed ... -
Particle Clustering and Sub-clustering as a Proxy for Mixing in Geophysical Flows
(University of Waterloo, 2019-08-16)The Eulerian point of view is the traditional theoretical and numerical tool to describe fluid mechanics. Some modern computational fluid dynamics codes allow for the efficient simulation of particles, in turn facilitating ... -
Persistent oscillations in the Aplysia bag cell network
(University of Waterloo, 2017-08-24)Persistence is a phenomena by which a resting neuron enters a state of persistent behavior following a brief stimulus. Persistent neural systems can exhibit long-term responses that remain after the stimulus is removed, ... -
A Phase Model with Large Time Delayed Coupling
(Elsevier, 2020-10)We consider two identical oscillators with weak, time delayed coupling. We start with a general system of delay differential equations then reduce it to a phase model. With the assumption of large time delay, the resulting ... -
Phase models and clustering in networks of oscillators with delayed coupling
(Elsevier, 2017-09-19)We consider a general model for a network of oscillators with time delayed coupling where the coupling matrix is circulant. We use the theory of weakly coupled oscillators to reduce the system of delay differential equations ... -
Physical Modelling and the Associated Acoustic Behaviour of Trumpets and Trombones
(University of Waterloo, 2019-09-30)Accurately modelling the production of realistic musical notes in brass instruments is no easy task. Compared to woodwind instruments, brass instruments are considerably longer and constructed with bends, valves or coils, ... -
PID Control of Systems with Hysteresis
(University of Waterloo, 2009-04-29)Hysteresis is exhibited by many physical systems. Smart materials such as piezoelectrics, magnetostrictives and shape memory alloys possess useful properties, especially in the field of micropositioning, but the control ... -
Poincare Waves and Kelvin Waves in a Circular Lake
(University of Waterloo, 2009-01-28)When wind blows over a stratified lake an interface tilt is often generated, and internal waves usually appear after the wind stops. Internal waves in lakes are studied in many literatures, but most assume a hydrostatic ... -
Policy Resistance Undermines Superspreader Vaccination Strategies For Influenza
(Public Library of Science, 2013-03-01)Theoretical models of infection spread on networks predict that targeting vaccination at individuals with a very large number of contacts (superspreaders) can reduce infection incidence by a significant margin. These models ... -
A Poroelastic Model of Transcapillary Flow
(University of Waterloo, 2010-05-21)Transcapillary exchange is the movement of fluid and molecules through the porous capillary wall, and is important in maintaining homeostasis of bodily tissues. The classical view of this process is that of Starling's ... -
Port-based teleportation of continuous quantum variables
(University of Waterloo, 2014-08-27)Quantum teleportation allows to transmit quantum information using classical information and entanglement only. Port-based teleportation is a variation of this procedure that involves simpler recovery operations to obtain ... -
Prandtl number dependence of stratified turbulence
(Cambridge, 2020-09-21)Stratified turbulence has a horizontally layered structure with quasi-two-dimensional vortices due to buoyancy forces that suppress vertical motion. The Prandtl number Pr quantifies the relative strengths of viscosity ... -
Prandtl number dependence of stratified turbulence
(University of Waterloo, 2019-08-15)Stratified turbulence is affected by buoyancy forces that suppress vertical motion, resulting in a horizontally-layered structure with quasi-two-dimensional vortices. The Prandtl number Pr quantifies the relative strengths ... -
Preconditioning of Hybridizable Discontinuous Galerkin Discretizations of the Navier-Stokes Equations
(University of Waterloo, 2021-05-19)The incompressible Navier-Stokes equations are of major interest due to their importance in modelling fluid flow problems. However, solving the Navier-Stokes equations is a difficult task. To address this problem, in this ... -
Predictability of Stratified Turbulence
(University of Waterloo, 2023-05-19)In the study of geophysical fluid dynamics, predictability of dynamics at different scales still stands in the foreground of interest as one of the primary challenges. Following Lorenz's pioneering framework, several results ... -
Pricing CPPI Capital Guarantees: A Lagrangian Framework
(University of Waterloo, 2011-09-28)A robust computational framework is presented for the risk-neutral valuation of capital guarantees written on discretely-reallocated portfolios following the Constant Proportion Portfolio Insurance (CPPI) strategy. Aiming ... -
A Probabilistic Approach to Image Feature Extraction, Segmentation and Interpretation
(University of Waterloo, 2000)This thesis describes a probabilistic approach to imagesegmentation and interpretation. The focus of the investigation is the development of a systematic way of combining color, brightness, texture and geometric features ... -
Probabilistic Properties of Delay Differential Equations
(University of Waterloo, 2004)Systems whose time evolutions are entirely deterministic can nevertheless be studied probabilistically, <em>i. e. </em> in terms of the evolution of probability distributions rather than individual trajectories. This ... -
Probing Quantum Fields: Measurements and Quantum Energy Teleportation
(University of Waterloo, 2017-01-10)Quantum Energy Teleportation provides a testbed for modern ideas involving the interplay between quantum correlations and energy in the quantum thermodynamical regime. In this work, we provide a new class of Quantum Energy ...