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Browsing Applied Mathematics by Title
Now showing items 182-201 of 500
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High-Resolution Analysis of Snow Albedo Interactions in the Arctic
(University of Waterloo, 2022-08-23)The Snow Albedo Feedback (SAF) is an important contributor to Arctic warming, however models disagree significantly on the strength of this effect. Previous work has investigated the influence of vegetation on surface ... -
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 ... -
Higher Gauge Theory and Discrete Geometry
(University of Waterloo, 2023-06-05)In four dimensions, gravity can be seen as a constrained topological model. This provides a natural way to construct quantum gravity models, since topological models are relatively straightforward to quantize. Difficulty ... -
Hilbert space operators with compatible off-diagonal corners
(Elsevier, 2018-08-15)Given a complex, separable Hilbert space H, we characterize those operators for which ‖PT(I−P)‖=‖(I−P)TP‖ for all orthogonal projections P on H. When H is finite-dimensional, we also obtain a complete characterization of ... -
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 ... -
Hopf 2-Algebras: Homotopy Higher Symmetries in Physics
(University of Waterloo, 2024-06-26)The theory of Hopf algebras and quantum groups have led to very rich and interesting developments in both mathematics and physics. In particular, they are known to play crucial roles in the interplay between 3d topological ... -
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 Modeling of Dielectric Response in Graphene and Carbon Nanotubes
(University of Waterloo, 2006)This thesis studies two important carbon structures, graphene and carbon nanotubes, with the purpose of understanding how their three-dimensional electron density distribution affects the way fast ions interact with them. ... -
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 ... -
Ice/hydrology feedback in the Siple Coast, Antarctica, from two-way coupled modeling
(University of Waterloo, 2024-06-18)Subglacial hydrological processes have long been understood to play a critical role in ice dynamics (Budd et al., 1979). Consequently, the recent emergence of complex two-dimensional subglacial hydrology models with both ... -
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 ...