Browsing Applied Mathematics by Title
Now showing items 188-207 of 494
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Hydrodynamic Modelling of the Electronic Response of Carbon Nanotubes
(University of Waterloo, 2007-02-08)The discovery of carbon nanotubes by Iijima in 1991 has created a torrent of new research activities. Research on carbon nanotubes ranges from studying their fundamental properties, such as their electron band structure ... -
Hydrodynamic Stability of Free Convection from an Inclined Elliptic Cylinder
(University of Waterloo, 2006)The steady problem of free convective heat transfer from an isothermal inclined elliptic cylinder and its stability is investigated. The cylinder is inclined at an arbitrary angle with the horizontal and immersed in an ... -
Hydrodynamics of the Yucatan peninsula carbonate aquifer: surface flow, inland propagation and mixing
(University of Waterloo, 2021-04-28)This thesis is a collection of three investigations into the hydrodynamics and hydrogeology of the Yucatan Peninsula, Mexico. The first investigation models potential mangrove-groundwater interactions as a box model. We ... -
The hydrodynamics of two-dimensional oscillating flows over ripples: the effect of asymmetries in ripple shape and currents
(University of Waterloo, 2017-04-28)The research presented in this thesis involved consideration of three increasingly asymmetric oscillatory flows over two ripple profiles, one of which is asymmetric and represents a small deviation from a symmetric ripple. ... -
Hysteresis bifurcation and application to delayed FitzHugh-Nagumo neural systems
(Elsevier, 2021-08)Hysteresis dynamics has been described in a vast number of biological experimental studies. Many such studies are phenomenological and a mathematical appreciation has not attracted enough attention. In the paper, we explore ... -
The Impact Of Aggregating Serogroups In Dynamic Models Of Neisseria Meningitidis Transmission
(BioMed Central, 2015-07-30)Background: Neisseria meningitidis (Nm) is a pathogen of multiple serogroups that is highly prevalent in many populations. Serogroups associated with invasive meningococcal disease (IMD) in Canada, for example, include A, ... -
The Impact Of Human-Environment Interactions On The Stability Of Forest-Grassland Mosaic Ecosystems
(Nature Publishing Group, 2013-09-19)Forest-grassland mosaic ecosystems can exhibit alternative stables states, whereby under the same environmental conditions, the ecosystem could equally well reside either in one state or another, depending on the initial ... -
The Impact of Internal Solitary Waves on the Nutrient Circulation System
(University of Waterloo, 2013-07-25)Internal waves in lakes and oceans are ubiquitous whenever a density stratification is present. These waves are relatively slow moving, can be large in extent and have long time scales. As these waves are so common, it is ... -
Impact of sex and pathophysiology on optimal drug choice in hypertensive rats: Quantitative insights for precision medicine
(Elsevier, 2021-04)Less than half of all hypertensive patients receiving treatment are successful in normalizing their blood pressure. Despite the complexity and heterogeneity of hypertension, the current antihypertensive guidelines are not ... -
The Impact of Small Time Delays on the Onset of Oscillations and Synchrony in Brain Networks
(Frontiers Publishing, 2021-07)The human brain constitutes one of the most advanced networks produced by nature, consisting of billions of neurons communicating with each other. However, this communication is not in real-time, with different communication ... -
Impacts Of Constrained Culling And Vaccination On Control Of Foot And Mouth Disease In Near-Endemic Settings: A Pair Approximation Model
(Elsevier, 2014-12-01)Many countries have eliminated foot and mouth disease (FMD), but outbreaks remain common in other countries. Rapid development of international trade in animals and animal products has increased the risk of disease ... -
The Impacts Of Simultaneous Disease Intervention Decisions On Epidemic Outcomes
(Elsevier, 2016-04-21)Mathematical models of the interplay between disease dynamics and human behavioural dynamics can improve our understanding of how diseases spread when individuals adapt their behaviour in response to an epidemic. Accounting ... -
Implementation of Kalman Filtering for Differential-Algebraic Equations
(University of Waterloo, 2020-09-28)This thesis describes two Kalman filters which are usable on semi-explicit index-1 differential-algebraic equations, prior to which a discussion of linear and nonlinear Kalman filters is presented. Performance between ... -
An Implementation of the Discontinuous Galerkin Method on Graphics Processing Units
(University of Waterloo, 2013-05-07)Computing highly-accurate approximate solutions to partial differential equations (PDEs) requires both a robust numerical method and a powerful machine. We present a parallel implementation of the discontinuous Galerkin ... -
Implementations of iterative algorithms in Hadoop and Spark
(University of Waterloo, 2014-07-29)Facing the challenges of large amounts of data generated by various companies (such as Facebook, Amazon, and Twitter), cloud computing frameworks such as Hadoop are used to store and process the Big Data. Hadoop, an open ... -
Improved Diagnostics & Performance for Quantum Error Correction
(University of Waterloo, 2023-08-04)Building large scale quantum computers is one of the most exciting ventures being pursued by researchers in the 21st century. However, the presence of noise in quantum systems poses a major hindrance towards this ambitious ... -
Improving Coarsening and Interpolation for Algebraic Multigrid
(University of Waterloo, 2006)Algebraic multigrid (AMG) is one of the most efficient algorithms for solving large sparse linear systems on unstructured grids. Classical coarsening schemes such as the standard Ruge-Stüben method [14] can lead ... -
Impulsive Control and Synchronization of Chaos-Generating-Systems with Applications to Secure Communication
(University of Waterloo, 2004)When two or more chaotic systems are coupled, they may exhibit synchronized chaotic oscillations. The synchronization of chaos is usually understood as the regime of chaotic oscillations in which the corresponding ... -
Impulsive Control of Dynamical Networks
(University of Waterloo, 2017-08-25)Dynamical networks (DNs) consist of a large set of interconnected nodes with each node being a fundamental unit with detailed contents. A great number of natural and man-made networks such as social networks, food networks, ... -
Impulsive observer design for a class of switched nonlinear systems with unknown inputs
(Elsevier, 2019-08)This paper investigates hybrid observer design of a class of unknown input switched nonlinear systems. The distinguishing feature of the proposed method is that the stability of all subsystems of the error switched systems ...