Browsing Applied Mathematics by Title
Now showing items 159-178 of 489
-
Gain-Scheduled Control of a Quadcopter UAV
(University of Waterloo, 2015-07-28)In this thesis we develop a gain-scheduled control law for the quadcopter unmanned aerial vehicle (UAV). Techniques from linear control theory are introduced and used to construct adaptive proportional and proportional-integral ... -
Gaining Information About a Quantum Channel Via Twirling
(University of Waterloo, 2008-07-31)Finding correctable encoding that protects against a quantum process is in general a difficult task. Two main obstacles are that an exponential number of experiments are needed to gain complete information about the quantum ... -
Galerkin Finite Element Based Modeling of One Dimensional Packed Bed Reactor for Underground Coal Gasification (UCG) Process
(IEEE, 2020-12-11)Mathematical models of a complex physicochemical underground coal gasification process involve multidimensional non-linear partial differential equations (PDEs). Therefore, researchers always seek a suitable numerical ... -
Generalizing sampling theory for time-varying Nyquist rates using self-adjoint extensions of symmetric operators with deficiency indices (1,1) in Hilbert spaces
(University of Waterloo, 2011-09-30)Sampling theory studies the equivalence between continuous and discrete representations of information. This equivalence is ubiquitously used in communication engineering and signal processing. For example, it allows ... -
Generative Modeling with Neural Ordinary Differential Equations
(University of Waterloo, 2019-12-19)Neural ordinary differential equations (NODEs) (Chen et al., 2018) are ordinary differential equations (ODEs) with their dynamics modeled by neural networks. Continuous normalizing flows (CNFs) (Chen et al., 2018; Grathwohl ... -
Global land use and the future of sustainable consumption: projections of a coupled social-land use model
(University of Waterloo, 2020-09-10)Throughout history, agricultural land use activities have shaped the environment and its inhabitants. Humans have sought to maintain their well-being for centuries by finding revolutionary ways to produce and gather food. ... -
Global Land Use Implications of Dietary Trends
(Cold Spring Harbor Laboratory, 2017-09-28)Global food security and agricultural land management represent two urgent and intimately related challenges that humans must face. We quantify the changes in the global agricultural land footprint if the world were to ... -
Global land use implications of dietary trends
(PLOS One, 2018-08-08)Global food security and agricultural land management represent two urgent and intimately related challenges that humans must face. We quantify the changes in the global agricultural land footprint if the world were to ... -
Green’s Function for Poisson Equation in Layered Nano-Structures including Graphene
(University of Waterloo, 2015-05-04)The purpose of this thesis is to focus on the electrostatic properties of graphene-based nanostructures consisting of different materials, as well as their interactions with external electric charges, by solving the boundary ... -
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 ...