Browsing Applied Mathematics by Title
Now showing items 168-187 of 489
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H(div)-conforming Discontinuous Galerkin Methods for Multiphase Flow
(University of Waterloo, 2021-05-05)Computational fluid dynamics (CFD) is concerned with numerically solving and visualizing complex problems involving fluids with numerous engineering applications. Mathematical models are derived from basic governing ... -
H-∞ optimal actuator location
(University of Waterloo, 2012-05-17)There is often freedom in choosing the location of actuators on systems governed by partial differential equations. The actuator locations should be selected in order to optimize the performance criterion of interest. ... -
H2-Optimal Sensor Location
(University of Waterloo, 2014-06-24)Optimal sensor placement is an important problem with many applications; placing thermostats in rooms, installing pressure sensors in chemical columns or attaching vibration detection devices to structures are just a few ... -
Halocline mixing due to heavy rainfall in the cenote's of the Yucatan Peninsula
(University of Waterloo, 2016-08-23)The hydrodynamics of the Yucatan peninsula are extremely important due to the strain on water resources caused by increasing development along the eastern coast. The geology of the peninsula is unique geologically in that ... -
Harnessing catalytic pumps for directional delivery of microparticles in microchambers
(Springer Nature, 2017-02-17)The directed transport of microparticles in microfluidic devices is vital for efficient bioassays and fabrication of complex microstructures. There remains, however, a need for methods to propel and steer microscopic cargo ... -
Harnessing surface-bound enzymatic reactions to organize microcapsules in solution
(American Association for the Advancement of Science (AAAS), 2016-03)By developing new computational models, we examine how enzymatic reactions on an underlying surface can be harnessed to direct the motion and organization of reagent-laden microcapsules in a fluid-filled microchannel. In ... -
Hedging Contingent Claims in Markets with Jumps
(University of Waterloo, 2007-09-25)Contrary to the Black-Scholes paradigm, an option-pricing model which incorporates the possibility of jumps more accurately reflects the evolution of stocks in the real world. However, hedging a contingent claim in ... -
High resolution simulations of mode-2 internal waves: transport, shoaling, and the influence of rotation
(University of Waterloo, 2018-08-23)Internal waves are a universal feature in stratified flows. Of particular interest are Internal Solitary and Solitary-like Waves (ISWs) which may persist for long periods of time and travel great distances. In the ocean, ... -
High-Order Finite-Volume Schemes for Magnetohydrodynamics
(University of Waterloo, 2014-08-01)New high-order finite-volume numerical schemes for the magnetohydrodynamics equations are proposed in two and three dimensions. Two different sets of magnetohydrodynamics equations are considered. The first set is the ideal ... -
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 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 ... -
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 ...