Browsing Applied Mathematics by Title
Now showing items 414-433 of 491
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Socio-Ecological Dynamics Of Caribbean Coral Reef Ecosystems And Conservation Opinion Propagation
(Nature Publishing Group, 2018-02-07)The Caribbean coral reef ecosystem has experienced a long history of deterioration due to various stressors. For instance, over-fishing of parrotfish - an important grazer of macroalgae that can prevent destructive overgrowth ... -
Solving Hyperbolic PDEs using Accelerator Architectures
(University of Waterloo, 2009-07-27)Accelerator architectures are used to accelerate the simulation of nonlinear hyperbolic PDEs. Three different architectures, a multicore CPU using threading, IBM’s Cell Processor, and Nvidia’s Tesla GPUs are investigated. ... -
Some Mathematical Perspectives of Graph Neural Networks
(University of Waterloo, 2022-05-12)Many real-world entities can be modelled as graphs, such as molecular structures, social networks, or images. Despite coming with such a great expressive power, the complex structure of graphs poses significant challenges ... -
Some Theory and Applications of Probability in Quantum Mechanics
(University of Waterloo, 2012-07-19)This thesis investigates three distinct facets of the theory of quantum information. The first two, quantum state estimation and quantum process estimation, are closely related and deal with the question of how to estimate ... -
Space-time hybridizable discontinuous Galerkin methods for free-surface wave problems
(University of Waterloo, 2020-08-28)Free-surface problems arise in many real-world applications such as in the design of ships and offshore structures, modeling of tsunamis, and dam breaking. Mathematically, free-surface wave problems are described by a set ... -
Sparse Identification of Epidemiological Models from Empirical Data
(University of Waterloo, 2018-09-20)Current modelling practices in mathematical epidemiology are predicated on mechanisms stemming from theoretical assumptions, such as mass action incidence. Deterministic disease models can describe many patterns observed ... -
A Sparse Random Feature Model for Signal Decomposition
(University of Waterloo, 2022-05-11)Signal decomposition and multiscale signal analysis provide useful tools for time-frequency analysis. In this thesis, an overview of the signal decomposition problem is given and popular methods are discussed. A novel ... -
Spatial and Temporal Discounting in a Social-Climate Model
(University of Waterloo, 2024-01-25)This thesis analyzes how individuals' devaluation of distant impacts of climate change affects mitigation behaviours and projected climate conditions. To approach this question, spatial and temporal discounting is applied ... -
Spatial correlation as an early warning signal of regime shifts in a multiplex disease-behaviour network
(Elsevier, 2018-07-07)Early warning signals of sudden regime shifts are a widely studied phenomenon for their ability to quantify a system’s proximity to a tipping point to a new and contrasting dynamical regime. However, this effect has been ... -
A spatially explicit modelling approach for predicting and managing the effects of coral reef stressors
(University of Waterloo, 2022-09-09)Coral reefs represent simultaneously one of the most beloved and one of the most endangered ecosystems in the world. Millions of people visit coral reefs every year for tourism purposes, and millions of people living in ... -
Spatially localized cluster solutions in inhibitory neural networks
(Elsevier, 2021-06)Neurons in the inhibitory network of the striatum display cell assembly firing patterns which recent results suggest may consist of spatially compact neural clusters. Previous computational modeling of striatal neural ... -
Spatially-Implicit Modelling Of Disease-Behaviour Interactions In The Context Of Non-Pharmaceutical Interventions
(American Institute of Mathematical Sciences, 2018-04-01)Pair approximation models have been used to study the spread of infectious diseases in spatially distributed host populations, and to explore disease control strategies such as vaccination and case isolation. Here we ... -
Spectral analysis of internal waves generated by tide-topography interaction
(University of Waterloo, 2007-08-21)Internal waves in the deep ocean play a deciding role in processes such as climate change and nutrient cycles. Winds and tidal currents over topography feed energy into internal waves at large scales; through nonlinear ... -
Spectral Energy Balance in Convective Boundary Layers
(University of Waterloo, 2014-12-19)In his pioneering 1941 papers, Kolmogorov derived that the energy spectrum follows a universial form within a range of wavenumbers removed from both the forcing and dissipation and depending only on the wavenumber and the ... -
Spectral energy balance in dry convective boundary layers
(Taylor and Francis, 2015-04)Three-dimensional large-eddy simulations (LES) of the convective boundary layer over a domain of approximately 6 km are performed with the UCLA LES model. Simulations are forced with a constant surface heat flux and ... -
Spectral properties of tensor products of channels
(Elsevier, 2018-09-15)We investigate spectral properties of the tensor products of two completely positive and trace preserving linear maps (also known as quantum channels) acting on matrix algebras. This leads to an important question of when ... -
Spectrum of Cuscuton Bounce and Cosmological Parameter Inference Using Dark Sirens
(University of Waterloo, 2021-08-25)Over the last couple of decades, cosmology has become an exciting area to study. Technological developments in both the computational and observational fronts have propelled cosmology into the limelight of modern physics. ... -
Stability analysis by contraction principle for impulsive systems with infinite delays
(Elsevier, 2020-03)This paper studies a class of quasi-linear impulsive systems of functional differential equations with infinite time delay. By employing the contraction principle, several criteria on uniform stability and asymptotic ... -
Stability and Boundedness of Impulsive Systems with Time Delay
(University of Waterloo, 2007-04-13)The stability and boundedness theories are developed for impulsive differential equations with time delay. Definitions, notations and fundamental theory are presented for delay differential systems with both fixed and ... -
Stability and Control of Caputo Fractional Order Systems
(University of Waterloo, 2018-01-08)As pointed out by many researchers in the last few decades, differential equations with fractional (non-integer) order differential operators, in comparison with classical integer order ones, have apparent advantages in ...