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 61 for “"Numerical Analysis and Computation"”.
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Identifying the largest component of the dominant eigenvector of a matrix
… provided which illustrates many of the theorems, and the algorithms are worked through on this example. A simple small-scale BASIC program for the second algorithm is provided, along with some conjectures found to be false and suggested topics for further investigation</p>
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Comparison of Mesh and Meshless Methods for Partial Differential Equations of Galerkin Form
… Galerkin methods: The finite element mesh method and moving least sqaures meshless Galerkin (EFG) method. The second purpose of this project is to determine if a hybrid between the mesh and meshless method is beneficial.</p> <p>This manuscript will be divided into three main parts. The first part …
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A hierarchical approach to improve the ant colony optimization algorithm
… treating the graph as a hierarchy of clusters, and modifying the original ACO heuristic to operate on a hypergraph. This method of using hierarchical clustering is significantly faster than the original ACO algorithm, even when normal clustering techniques are applied, while producing improved …
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An Introduction to the Lebesgue Integral
… integral is the simplest integral to define, and it allows one to integrate every continuous function. It is really important to have a definition of the integral that allows a wider class of functions to be integrated. However, there are many other types of integrals, the most important of …
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Diagonalization of 1-D Schrodinger Operators with Piecewise Constant Potentials
… research is meant to adapt current inefficient numerical methods to more accurately model the complex situations we encounter. This project focuses on a specific equation that is used to model sound speed in the ocean. As depth increases, the sound speed changes. This means the variable related …
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Generalized Probabilistic Bowling Distributions
… different ways to generate bowling scores randomly. For each distribution, we give results for the expected value and standard deviation of each frame's score, the expected value of the game’s final score, and the correlation coefficient between the score of the first and second roll of a …
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Stability Analysis of Krylov Subspace Spectral Methods for the 1-D Wave Equation in Inhomogeneous Media
… resolution. This thesis will present a stability analysis of a first-order KSS method applied to the wave equation in inhomogeneous media.</p>
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Approximation of the Scattering Amplitude using Nonsymmetric Saddle Point Matrices
… for solving the primal (<strong>A</strong>x = b) and dual (<strong>A</strong><em><sup><strong>T </strong></sup></em>y = g) systems of linear equations to approximate the scattering amplitude defined by g<em><sup><strong>T</strong></sup></em>x =y<em><sup><strong>T</strong></sup></em>b. We use a …
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Eignefunctions for Partial Differential Equations on Two-Dimensional Domains With Piecewise Constant Coefficients
<p>In this thesis, we develop a highly accurate and efficient algorithm for computing the solution of a partial differential equation defined on a two-dimensional domain with discontinuous coefficients. An example of such a problem is for modeling the diffusion of heat energy in two space …
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Fitting a Linear Regression Model and Forecasting in R in the Presence of Heteroskedascity with Particular Reference to Advanced Regression Technique Dataset on kaggle.com.
<p>Since ancient times, men have built and sold houses. But just how much is a house worth? The challenge is to be able to use information about a house such as its location, and the area on which it is built to predict its price. Such predicted prices can be of great importance to any participant …
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Defining historical earthquake rupture parameters and proposed slip distributions through tsunami modeling in south-central Chile
… rely on accurate initial modeling conditions and interpretations of subduction zone behavior in a multi-century perspective. GPS and seismologic data were introduced this past century to study rupture dynamics in detail, however limited information is known about ruptures that pre-date the …
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Sensitivity of the Estuarine-shelf Exchange in Mississippi Coastal Waters to River Diversions and Linkage Pathway Bathymetry: A Modeling Study
… exchange flow between the Mississippi (MS) Sound and Bight is an intricate circulation pattern that affects many important regional processes, including flushing time, sediment transport, and larval dispersion. This study examines the exchange flow in the MS Sound by estimating the volume …
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Krylov Subspace Spectral Method with Multigrid for a Time-Dependent, Variable-Coefficient Partial Differential Equation
… such as restriction, residual correction, and prolongation, are adapted to the timedependent case. Then a comparison of KSS, KSS with Multigrid, KSS-EPI and standard Krylov projection methods will be demonstrated.</p>
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Analysis of a Partial Differential Equation Model of Surface Electromigration
… based model combining surface electromigration and wetting is developed for the analysis of the morphological instability of mono-crystalline metal films in a high temperature environment typical to operational conditions of microelectronic interconnects. The atomic mobility and surface energy …
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NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer
… first chapter, we review some basic definitions and concepts of fractional calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction …
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An Algorithm to Generate Two-Dimensional Drawings of Conway Algebraic Knots
… an efficient algorithm to generate a knot and to create a nice two-dimensional embedding of the knot. For the purpose of this thesis a drawing is “nice” if the number of tangles in the diagram consisting of half-twists is minimal. More specifically, the algorithm generates prime, …
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Area Based Fan Beam Projection Model for Computed Tomography
… shapes affect the reconstruction effectiveness and data collection efficiency, with the two main types of beam choice for 2-D scanning being fan beam and parallel beam. Fan beam scanning offers some advantages over parallel beam, such as faster data collection. This paper presents an area based …
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Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements
… for the PPE, which allow for a fully decoupled numerical scheme to recover the pressure. The variational form of the NSE with PPE is derived and used in the Galerkin Finite Element discretization. The Galerkin finite element method is then used to solve the NSE with PPE. Moderate accuracy is …
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Towards Simulation of Complex Ocean Flows: Analysis and Algorithm for Computation of Coupled Partial Differential Equations
… many emerging problems with multiphysics and multiscale flows, especially for the coastal ocean flows interacted with local phenomena of interest. For most cases, the sub-models are connected with direct interpolation which is easy and workable. It becomes urgently needed to investigate …
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