Browsing Applied Mathematics by Subject "Applied Mathematics"
Now showing items 61-80 of 149
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High-Order Numerical Methods in Lake Modelling
(University of Waterloo, 2014-06-18)The physical processes in lakes remain only partially understood despite successful data collection from a variety of sources spanning several decades. Although numerical models are already frequently employed to simulate ... -
High-Resolution Numerical Simulations of Wind-Driven Gyres
(University of Waterloo, 2011-08-26)The dynamics of the world's oceans occur at a vast range of length scales. Although there are theories that aid in understanding the dynamics at planetary scales and microscales, the motions in between are still not yet ... -
Honest Approximations to Realistic Fault Models and Their Applications to Efficient Simulation of Quantum Error Correction
(University of Waterloo, 2014-04-25)Understanding the performance of realistic noisy encoded circuits is an important task for the development of large-scale practical quantum computers. Specifically, the development of proposals for quantum computation must ... -
A Hybrid Cellular Automata Model for the Role of Reactive Oxygen Species in Novel Tumour Treatments Strategies
(University of Waterloo, 2015-01-21)Cancer is a disease that entails uncontrolled proliferation and a disruption of tissue function that often results in a poor clinical outcome. Furthermore, it has continued to elude any universal treatment or cure in part ... -
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 ... -
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 ... -
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 ... -
The Influence of Mesoscale Eddies on the Internal Tide
(University of Waterloo, 2009-08-21)The barotropic tide dissipates a well established estimate of 2.5 TW of energy at the M2 frequency. Bottom topography is responsible for part of this dissipation, and the generation of the internal tide is also partly ... -
Information flow at the quantum-classical boundary
(University of Waterloo, 2008-08-28)The theory of decoherence aims to explain how macroscopic quantum objects become effectively classical. Understanding this process could help in the search for the quantum theory underlying gravity, and suggest new schemes ... -
Information propagation and entanglement generation between two Unruh-DeWitt detectors
(University of Waterloo, 2010-07-23)The setup in which two quantum systems, Alice and Bob, communicate using bosonic field quanta can be viewed as a prototype for wireless quantum communication. In this thesis we focus on the most basic case, where Alice ... -
The Instability of Mesoscale Jets in Idealized Two-Layer Models
(University of Waterloo, 2014-08-06)The rotating shallow water (RSW) equations have been used extensively in oceanographic literature to model dynamical elements of the world’s oceans and atmosphere at large scales. The RSW model is a simple and useful model ... -
Interaction of Brain Cancer Stem Cells and the Tumour Microenvironment: A Computational Study
(University of Waterloo, 2012-01-10)Glioblastoma multiforme (GBM) is one of the most common and aggressive primary brain tumours, with a median patient survival time of 6-12 months in adults. It has been recently suggested that a typically small sub-population ... -
Internal Wave Generation and Near-Resonant Interactions: Theory and Applications
(University of Waterloo, 2011-04-29)Near-resonant triad interactions and wave generation theory are investigated for continuously stratified fluids. Interaction equations are derived for spatially-varying wave trains under the inviscid Boussinesq approximation. ... -
Internet Congestion Control: Modeling and Stability Analysis
(University of Waterloo, 2008-08-27)The proliferation and universal adoption of the Internet has made it become the key information transport platform of our time. Congestion occurs when resource demands exceed the capacity, which results in poor performance ... -
Inverse Problems and Self-similarity in Imaging
(University of Waterloo, 2008-08-06)This thesis examines the concept of image self-similarity and provides solutions to various associated inverse problems such as resolution enhancement and missing fractal codes. In general, many real-world inverse ... -
Kinetic Modeling of Pyruvate Recycling Pathways in Pancreatic β-Cells.
(University of Waterloo, 2012-09-26)A variety of signaling mechanisms are employed to maintain healthy levels of glucose in the blood stream. The hormone insulin is one of the primary regulators of glucose homeostasis. Insulin, which activates glucose ... -
Large eddy simulations and subgrid scale motions in stratified turbulence
(University of Waterloo, 2015-03-18)Direct numerical and large eddy simulations (DNS $\&$ LES) of decaying and forced stratified turbulence are studied in this thesis. By defining a test filter scale $k_c$ in the horizontal and vertical directions separately, ... -
Localising Information in Bandlimited Quantum Field Theory
(University of Waterloo, 2015-09-24)A deeply-held belief in fundamental physics is that interactions must happen locally. Despite the great success of local models, there are many indications that locality must be abandoned in a theory of quantum gravity. For ...