Index Catalog // ScholarsArchive@OSU

Enhancing Facial Recognition: A Comparative Analysis of Image Preprocessing Techniques in PCA, KL Expansion and SVD

Creator:: Tuffour, Prince A.
Abstract:: Facial recognition has become increasingly important in recent years, due to the wide range of applications it has in fields such as security, surveillance, and human-computer interaction. Three popular methods for facial recognition are the Principal Component Analysis (PCA), Karhunen-Loeve Expansions, which is fundamentally a continuous form of PCA but...
Resource Type:: Capstone Project

Virtual Element Methods for Magnetohydrodynamics on General Polygonal and Polyhedral Meshes

Creator:: Naranjo, Sebastián
Abstract:: The aim of this dissertation is to construct a virtual element method (VEM) for models in magneto-hydrodynamics (MHD), an area that studies the behavior and properties of electrically conducting ﬂuids such as a plasma. MHD models are a coupling of the Maxwell’s equations for electromagnetics and models for ﬂuid ﬂow....
Resource Type:: Dissertation

Modeling Flow and Transport at Pore Scale with Obstructions

Creator:: Umhoefer, Joseph G.
Abstract:: In this thesis we study mathematical and computational models for phenomena of flow and transport in porous media in the presence of changing pore scale geometries. The differential equations for the flow and transport models at Darcy scale involve the coefficients of permeability, porosity, and tortuosity which depend on the...
Resource Type:: Dissertation

Establishing Several Infinite Families of Mock and Quantum Modular Forms

Creator:: Arnold-Roksandich, Allison F.
Abstract:: In 2013, Lemke Oliver created a list of all eta-quotients which are theta functions. Then in 2016, Folsom, Garthwaite, Kang, Swisher, and Treneer utilized this list of ``eta-theta'' functions along with Zwegers's construction of mock theta functions to create a set of mock modular forms which are also quantum modular...
Resource Type:: Dissertation

Numerical Study of Convexity Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems

Creator:: Bigler, Lisa A.
Abstract:: In this work, we consider a convexity splitting scheme for a coupled phase field and energy equation, a modification of Stefan problem. The Stefan problem is a free boundary value problem that models the temperature in a homogeneous multiphase medium. Each phase is modeled using a heat diffusion parabolic partial...
Resource Type:: Masters Thesis

Mathematical and Computational Considerations of a Model of Microbiologically Induced Calcite Precipitation

Creator:: Barry, Zachary T.
Abstract:: In this paper, we discuss two possible modifications to a numerical solution method for a model of microbiologically induced calcite precipitation (MICP). MICP provides a means to seal cracks in the surfaces of geological structures. From a mathematical and computational point of view MICP has very interesting features which make...
Resource Type:: Capstone Project

Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

Creator:: Sakkaplangkul, Puttha
Abstract:: In this dissertation, we introduce a family of fully discrete finite difference time-domain (FDTD) methods for Maxwell’s equations in linear and nonlinear materials. Onecategory of methods is constructed using multiscale techniques involving operator splittings. We present the sequential splitting scheme, the Strang Marchuk splitting scheme,the weighted sequential splitting scheme including...
Resource Type:: Dissertation

Some Results in Single-Scattering Tomography

Creator:: Sherson, Brian
Abstract:: Single-scattering tomography describes a model of photon transfer through a object in which photons are assumed to scatter at most once. The Broken Ray transform arises from this model, and was first investigated by Lucia Florescu, Vadim A. Markel, and John C. Schotland, [2], in 2010, followed by an inversion,...
Resource Type:: Dissertation

Ruin Problems with Risky Investments

Creator:: Loke, Sooie-Hoe
Abstract:: In this dissertation, we study two risk models. First, we consider the dual risk process which models the surplus of a company that incurs expenses at a constant rate and earns random positive gains at random times. When the surplus is invested in a risky asset following a geometric Brownian...
Resource Type:: Dissertation

The Variable Speed Wave Equation and Perfectly Matched Layers

Creator:: Kim, Dojin
Abstract:: A perfectly matched layer (PML) is widely used to model many different types of wave propagation in different media. It has been found that a PML is often very effective and also easy to set, but still many questions remain. We introduce a new formulation from regularizing the classical Un-Split...
Resource Type:: Dissertation

ScholarsArchive@OSU

Enhancing Facial Recognition: A Comparative Analysis of Image Preprocessing Techniques in PCA, KL Expansion and SVD

Virtual Element Methods for Magnetohydrodynamics on General Polygonal and Polyhedral Meshes

Modeling Flow and Transport at Pore Scale with Obstructions

Establishing Several Infinite Families of Mock and Quantum Modular Forms

Numerical Study of Convexity Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems

Mathematical and Computational Considerations of a Model of Microbiologically Induced Calcite Precipitation

Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

Some Results in Single-Scattering Tomography

Ruin Problems with Risky Investments

The Variable Speed Wave Equation and Perfectly Matched Layers

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