Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 30 for “"Mathematics (Applied)"”.
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The influence of program participation in business education courses on standardized test performance among secondary students in Louisiana
… might include: business technical writing, applied mathematics, applied technology, research in careers and math for business decisions.
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Complementarity and uncertainty in quantum interference
This thesis is concerned with the notions of complementarity and uncertainty encountered in quantum mechanics. Its starting point is an assessment of how these concepts have been represented and illustrated by various writers dating back to their inception. Following the survey a coherent account …
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Efficient variable mesh techniques to solve interior layer problems
Singularly perturbed problems have been studied extensively over the past few years from different perspectives. The recent research has focussed on the problems whose solutions possess interior layers. These interior layers appear in the interior of the domain, location of which is difficult to …
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Generalised nonlinear stability of stratified shear flows: adjoint-based optimisation, Koopman modes, and reduced models
In this thesis I investigate a number of problems in the nonlinear stability of density stratified plane Couette flow. I begin by describing the history of transient growth phenomena, and in particular the recent application of adjoint based optimisation to find nonlinear optimal perturbations and …
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Spectral methods and computational trade-offs in high-dimensional statistical inference
Spectral methods have become increasingly popular in designing fast algorithms for modern highdimensional datasets. This thesis looks at several problems in which spectral methods play a central role. In some cases, we also show that such procedures have essentially the best performance among all …
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Multidimensional Generalization of Kolmogorov-Seliverstov-Plessner Test
<p>In this thesis, we give the brief description of two most important tests of Fourier series namely Dini-Dirichel and Kolmogorov-Seliverstov-Plessner test. We develop further some results of L.V. Zhizhiashvili to obtain a multidimensional anisotropic version of the Kolmogorov-Seliverstov-Plessner …
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Information, insider trading and takeover announcements
This thesis focuses on the effect of takeover announcements in financial markets. We want to use a math model to analyze the inside traders' behavior when there is a potential takeover in the market. The thesis starts with a math model to capture the stock price dynamics, and then it states the …
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The power spectrum and bispectrum of inflation and cosmic defects
Much of the recent progress in cosmology has come from studying the power spectrum of the cosmic microwave background (CMB). The latest results from the Planck satellite confirmed that the inflationary paradigm with the $\Lambda$CDM six-parameter model provides a very good description of the …
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A Proposed Numerical Method for the 3D Wave Equation with Constant Speed
This thesis implements a new numerical scheme to solve the (classical) constant speed wave equation in the three dimensional space, currently existing methods (even if more restrictive) rely on time iterations and observe the accumulation of error at each time step iteration, the new method is …
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Chaos and Dynamical Systems
Throughout the ages, mathematics has been evolving and creating new branches. In the middle to late twentieth century, a new branch formed: chaos. Chaos is the study of dynamical systems that vary greatly with respect to initial conditions. The slightest change in an initial condition, a seemingly …
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First-order gradient regularisation methods for image restoration: reconstruction of tomographic images with thin structures and denoising piecewise affine images
The focus of this thesis is variational image restoration techniques that involve novel non-smooth first-order gradient regularisers: Total Variation (TV) regularisation in image and data space for reconstruction of thin structures from PET data and regularisers given by an infimal-convolution of …
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Cost-Risk Analysis of the ERCOT Region Using Modern Portfolio Theory
<p>In this work, we study the use of modern portfolio theory in a cost-risk analysis of the Electric Reliability Council of Texas (ERCOT). Based upon the risk-return concepts of modern portfolio theory, we develop an n-asset minimization problem to create a risk-cost frontier of portfolios of …
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Macroscopic Coupling Conditions with Partial Blocking for Highway Ramps
We consider the Lighthill-Whitman-Richards traffic model on a network consisting of a highway with an off ramp, connected by a junction. We compare the known coupling conditions for the evolution of traffic at the junction and suggest a novel improvement to the existing conditions. That is, we …
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Circuits, Perfect Matchings and Paths in Graphs
We primarily consider the problem of finding a family of circuits to cover a bidgeless graph (mainly on cubic graph) with respect to a given weight function defined on the edge set. The first chapter of this thesis is going to cover all basic concepts and notations will be used and a survey of this …
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On decompositions and Connes's embedding problem of finite von Neumann algebras
<p>A longstanding open question of Connes asks whether every finite von Neumann algebra embeds into an ultraproduct of finite-dimensional matrix algebras. As of yet, algebras verified to satisfy Connes's embedding property belong to just a few special classes (e.g. amenable algebras and free group …
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SIMULTANEOUS APPLICATION OF MULTIPLE PROCESS CONTROL RULES
<p>Statistical Process Control (SPC) charts are tools used in quality control to monitor and analyze the stability of a process over time. This study evaluates the effectiveness of eight individual Western Electric rules, also known as WECO rules, and the various combinations of these rules with …
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