Browsing Applied Mathematics by Title
Now showing items 461-480 of 491
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Theory and Mitigation of Crosstalk on Quantum Information Processors
(University of Waterloo, 2023-09-08)Successfully implementing large-scale quantum computation has proven to be an exceptionally arduous task. Decoherence and imperfect control limit the coherent manipulation of large ensembles of particles. While quantum ... -
Three Dimensional Hydrodynamic Modelling of Lake Erie: Kelvin Wave Propagation and Potential Effects of Climate Change on Thermal Structure and Dissolved Oxygen
(University of Waterloo, 2013-07-25)This thesis investigates physical processes in Lake Erie, a large, shallow mid-latitude lake, from two perspectives: climate change impacts on the thermal structure and dissolved oxygen concentration and small-scale eddy ... -
Three Results in Quantum Physics
(University of Waterloo, 2019-05-09)This thesis is split into three disjoint sections. The first deals with two practical issues regarding the use of unitary 2-designs. A simplified description of how to generate elements of the smallest known unitary 2-design ... -
Three-dimensional Simulations of an Internal Solitary Wave Shoaling Over a Shallow Slope
(University of Waterloo, 2022-05-03)The transport of sediment is vital for ecological and climatological processes. Sediment can either move up the shelf, or mix into the upper water column as nepheloid layers. Internal solitary waves (ISWs) shoaling along ... -
Three-dimensional simulations of sound propagation in a trumpet with accurate mouthpiece shank geometry
(arXiv, 2016-11-01)The length and bore geometry of musical instruments directly influences the quality of sound that can be produced. In brass instruments, nonlinear effects from finite-amplitude wave propagation can lead to wave distortion ... -
Time-Optimal Control of Closed Quantum Systems
(University of Waterloo, 2009-08-20)Recently there has been a lot of interest in the potential applications of performing computations on systems whose governing physical laws are quantum, rather than classical in nature. These quantum computers would have ... -
Time-Optimal Control of Quantum Systems: Numerical Techniques and Singular Trajectories
(University of Waterloo, 2011-06-21)As technological advances allow us to peer into and beyond microscopic phenomena, new theoretical developments are necessary to facilitate this exploration. In particular, the potential afforded by utilizing quantum resources ... -
Topics in Chemical Reaction Network Theory
(University of Waterloo, 2012-01-10)Under the assumption of mass-action kinetics, systems of chemical reactions can give rise to a wide variety of dynamical behaviour, including stability of a unique equilibrium concentration, multistability, periodic ... -
Topics in early and late Universe cosmology
(University of Waterloo, 2020-08-11)In this thesis, we explore different problems in various areas of cosmology. The inflationary paradigm has been very successful in explaining cosmological observations. However, some problems still linger on. In the ... -
Topics in Quantum Foundations: Ontological Models, and Distinguishability as a Resource
(University of Waterloo, 2009-08-24)This thesis covers research in two disjoint research areas: The ontological model program (formerly hidden-variables program) for quantum theory has a long and noble tradition in the quantum foundations literature. By ... -
Topographically generated internal waves and boundary layer instabilities
(American Institute of Physics, 2015-08)Flow over topography has been shown to generate finite amplitude internal waves upstream, over the topography and downstream. Such waves can interact with the viscous bottom boundary layer to produce vigorous instabilities. ... -
Topological Quantum Computation and Protected Gates
(University of Waterloo, 2015-12-22)This thesis serves to give a mathematical overview of topological quantum computation and to apply the theory to characterize desirable fault-tolerant operations called protected gates. Topological quantum computation is ... -
Truncation selection and diffusion on random graphs
(Arxiv, 2017-08-31)Two-strategy evolutionary games on graphs have been extensively studied in the literature. A variety of graph structures, degrees of graph dynamics, and behaviours of replicators have been explored. These models have ... -
Turnpike Property for Generalized Linear-Quadratic Optimal Control Problem
(University of Waterloo, 2023-04-28)The turnpike phenomenon describes the long time behavior of optimally controlled systems whose optimal trajectories over a sufficiently large time horizon stay for most of the time close to a prescribed trajectory of the ... -
Two- and Three-Dimensional Coding Schemes for Wavelet and Fractal-Wavelet Image Compression
(University of Waterloo, 2001)This thesis presents two novel coding schemes and applications to both two- and three-dimensional image compression. Image compression can be viewed as methods of functional approximation under a constraint on the amount ... -
The two-space homogenization method
(University of Waterloo, 2012-10-04)In this thesis, we consider the two-space homogenization method, which produces macroscopic expressions out of descriptions of the behaviour of the microstructure. Specifically, we focus on its application to poroelastic ... -
Under-Ice Fluid Dynamics in Freshwater Lakes: Implications for Ecology in a Changing Climate
(University of Waterloo, 2021-08-24)An abundance of evidence exists to support the notion of annual winter blooms of phytoplankton, particularly diatoms, persistent in the surface waters of freshwater lakes located in temperate and boreal climatic zones. ... -
Universe Beyond Inflation and ΛCDM
(University of Waterloo, 2021-09-09)The current paradigm of universe, $\Lambda CDM$ model with an early phase of inflation, has been quite successful in describing our universe in a simple manner, yet matching well with the observational evidence. This model ... -
Unsteady Free Convection from Elliptic Tubes at Large Grashof Numbers
(University of Waterloo, 2008-09-11)This study solves the problem of unsteady free convection from an inclined heated tube both numerically and analytically. The tube is taken to have an elliptic cross-section having a constant heat flux applied to its ... -
Using numerics to explore the EPRL spinfoam amplitude
(University of Waterloo, 2020-08-25)The use of numerical methods in loop quantum gravity is still relatively untapped. Numerical methods are, however, a useful tool, and offer access to regimes that are as of yet inaccessible by analytical methods. This ...