Browsing Applied Mathematics by Title
Now showing items 41-60 of 500
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Characterizing Noise in Quantum Systems
(University of Waterloo, 2012-07-26)In practice, quantum systems are not completely isolated from their environment and the resulting system-environment interaction can lead to information leakage from the system. As a result, if a quantum system is to be ... -
Clustering behaviour in networks with time delayed all-to-all coupling
(University of Waterloo, 2017-08-30)Networks of coupled oscillators arise in a variety of areas. Clustering is a type of oscillatory network behavior where elements of a network segregate into groups. Elements within a group oscillate synchronously, while ... -
Coevolution Of Risk Perception, Sexual Behaviour, And Hiv Transmission In An Agent-Based Model
(Elsevier, 2013-11-21)Risk perception shapes individual behaviour, and is in turn shaped by the consequences of that behaviour. Here we explore this dynamics in the context of human immunodeficiency virus (HIV) spread. We construct a simplified ... -
Coherent delocalization in the light-matter interaction
(University of Waterloo, 2020-10-08)In this thesis, we study coherent delocalization in the light-matter interaction: we investigate how the coherent center of mass delocalization of a first quantized system affects its interaction with a second quantized ... -
Collective Dynamics of Large-Scale Spiking Neural Networks by Mean-Field Theory
(University of Waterloo, 2024-05-31)The brain contains a large number of neurons, each of which typically has thousands of synaptic connections. Its functionality, whether function or dysfunction, depends on the emergent collective dynamics arising from the ... -
Combination of Chemotherapy and Antiangiogenic Therapies: A Mathematical Modelling Approach
(University of Waterloo, 2009-09-08)A brief introduction to cancer biology and treatment is presented with a focus on current clinical advances in the delivery of chemotherapy and antiangiogenic therapies. Mathematical oncology is then surveyed with summaries ... -
A Comparative and Exploratory Study of Homogeneous and Inhomogeneous Stratified Turbulence
(University of Waterloo, 2021-08-25)The study of turbulence in the oceans and atmosphere is far-flung and ever-reaching in the academic world with research being done theoretically, experimentally and numerically. With great strides in the increasing power ... -
Comparing Influenza Vaccine Efficacy Against Mismatched And Matched Strains: A Systematic Review And Meta-Analysis
(BioMed Central, 2013-06-25)Background: Influenza vaccines are most effective when the antigens in the vaccine match those of circulating strains. However, antigens contained in the vaccines do not always match circulating strains. In the present ... -
Comparing malaria surveillance with periodic spraying in the presence of insecticide-resistant mosquitoes: Should we spray regularly or based on human infections?
(Elsevier, 2016-06-01)There is an urgent need for more understanding of the effects of surveillance on malaria control. Indoor residual spraying has had beneficial effects on global malaria reduction, but resistance to the insecticide poses a ... -
Comparison of Approximation Schemes in Stochastic Simulation Methods for Stiff Chemical Systems
(University of Waterloo, 2009-07-30)Interest in stochastic simulations of chemical systems is growing. One of the aspects of simulation of chemical systems that has been the prime focus over the past few years is accelerated simulation methods applicable ... -
A comparison of the Kalman filter and recurrent neural networks for state estimation of dynamical systems
(University of Waterloo, 2023-08-30)The study of dynamical systems is of great interest in many fields, with a wide range of applications. In some cases, these dynamical systems may be affected by noise and the availability of measurements may be limited. ... -
Competition Between Injunctive Social Norms And Conservation Priorities Gives Rise To Complex Dynamics In A Model Of Forest Growth And Opinion Dynamics
(Elsevier, 2017-11-07)Human and environmental systems are often treated as existing in isolation from one another, whereas in fact they are often two parts of a single, coupled human-environment system. Developing theoretical models of coupled ... -
Complex Bases, Number Systems and Their Application to Fractal-Wavelet Image Coding
(University of Waterloo, 2002)This thesis explores new approaches to the analysis of functions by combining tools from the fields of complex bases, number systems, iterated function systems (IFS) and wavelet multiresolution analyses (MRA). The ... -
Computational and Theoretical Insights into Multi-Body Quantum Systems
(University of Waterloo, 2021-03-31)In generality, perfect predictions of the structure and dynamics of multi-body quantum systems are few and far between. As experimental design advances and becomes more refined, experimentally probing the interactions of ... -
A Computational Study of Pressure Driven Flow in Waste Rock Piles
(University of Waterloo, 2012-08-30)This thesis is motivated by problems studied as part of the Diavik Waste Rock Pile Project. Located at the Diavik Diamond Mine in the Northwest Territories, with academic support from the University of Waterloo, the ... -
Consensus Problems in Hybrid Multi-Agent Systems
(University of Waterloo, 2022-09-28)A multi-agent system (MAS) is a dynamic system that consists of a group of interacting agents distributed over a network. In the past decades, the study of distributed coordination of multi-agent systems has been widely ... -
Consolidation and wave propagation in a porous medium
(University of Waterloo, 2006)Basic diffusion analytical solutions of one-dimensional consolidation are presented for the case of a semi-infinite domain. Typical tractions considered include instantaneous loads of the medium with a free boundary ... -
Construction of Optimal Tubular Networks in Arbitrary Regions in R^3
(University of Waterloo, 2015-08-10)In this thesis, we describe various algorithms for the construction of tubular networks in an arbitrary three-dimensional region that possesses a principal direction along which the cross-section varies. The region can be ... -
Continuous approximation of linear impulsive systems and a new form of robust stability
(Elsevier, 2018-01-01)The time-scale tolerance for linear ordinary impulsive differential equations is introduced. How large the time-scale tolerance is directly reflects the degree to which the qualitative dynamics of the linear impulsive ... -
Contrasting classical and quantum theory in the context of quasi-probability
(University of Waterloo, 2008-08-22)Several finite dimensional quasi-probability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These representations are often defined ...