Index Catalog // ScholarsArchive@OSU

Numerical Simulation of a Thouless Pump

Creator:: Wall, Bryce
Abstract:: At the macroscopic scale, we have pumps that use the classical laws of physics to move liquids at a well defined rate. In the microscopic world, physicists are exploring pumps that make use of quantum mechanical behavior to build analogous pumps for quantum particles. The importance of such “quantum pumps”...
Resource Type:: Honors College Thesis
Full Text:: , representing Physics Vrushali Bokil, Committee Member, representing Mathematics Elizabeth Gire, Committee

Music Generation and Evaluation Using R

Creator:: Lanz, Andrea L.
Abstract:: The main goal of this project is to implement an algorithmic music composition procedure and present all procedures and results in a reproducible fashion by creating a web application produced by R. To approach the implementation of the algorithmic composition of music, we start by exploring various models, but ultimately...
Resource Type:: Honors College Thesis
Full Text:: APPROVED: Charlotte Wickham, Mentor, representing Statistics Vrushali Bokil, Committee Member

Polynomial Chaos Expansions for Random Ordinary Differential Equations

Creator:: McKenzie, Brian
Abstract:: We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In particular, we consider those with forcing functions that have a random parameter in both the scalar and vector case. We then consider linear...
Resource Type:: Capstone Project
Full Text:: greatly. I also wish to express my gratitude to my committee members Dr. Vrushali Bokil and Dr. Malgorzata

A Ross-Macdonald Model with Vector Demography

Creator:: Reyes Grimaldo, Ricardo Noe Gerardo
Abstract:: Malaria is a vector-borne disease that has affected humans and other animals for a long time and which has shown high prevalence among different populations. During the beginning of the 20th century, Sir Ronald Ross and George Macdonald developed a model that represents the spread of malaria through the interaction...
Resource Type:: Masters Thesis
Full Text:: thank the members of my thesis committee, Dr. Vrushali A. Bokil, Dr. Yevgeniy Kovchegov, and Dr. Mark

Modeling of Power Efficiency in a Magnetohydrodynamic Generator

Creator:: Redle, Michael T.
Abstract:: The introduction of an Magnetohydrodynamic (MHD) generator in coal or natural gas energy plants could significantly increase the efficiency by converting kinetic and thermal energy of the combustion exhaust to electrical energy by the generation of a Faraday and Hall current. The traditional MHD system was transformed into a simplified...
Resource Type:: Honors College Thesis
Full Text:: , Mentor, representing the Department of Mathematics Vrushali A. Bokil, Committee Member, representing the

Optimization under Uncertainty of a Magnetohydrodynamics Generator

Creator:: Rajbhandari, Evan
Abstract:: Within this dissertation, we develop tools and techniques to demonstrate the feasibility of real-time optimization of a magnetohydrodynamics generator. To ease computational complexity, we work on the kinematic magnetohydrodynamic system, prescribing the ﬂuid-ﬂow and model the material response of the system through an updated Generalized Ohm’s law. We focus on...
Resource Type:: Dissertation

Modelling Development of Opinion Matrices Over Time

Creator:: Oostrom, Martijn L.
Abstract:: Given an initial opinion matrix in which every member of a population gives an opinion score of all the members in a population, natural questions to ask could be regarding what happens to those opinions over time, both in forward time and in backward time. While what happens over time...
Resource Type:: Masters Thesis

Numerical Analysis of a System of Parabolic Variational Inequalities with Application to Biofilm Growth

Creator:: Alhammali, Azhar S. A.
Abstract:: In this work we consider a mathematical and computational model for biofilm growth and nutrient utilization. In particular, we are interested in a model appropriate at a scale of interface. The model is a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs). One of these PDEs is subject...
Resource Type:: Dissertation
Full Text:: committee members Dr. Ralph Showalter, Dr. Vrushali Bokil, Dr. Elaine Cozzi, and Dr. Katherine R

Gaussian random fields related to Lévy's Brownian motion : representations and expansions, Gaussian random fields related to Levy's Brownian motion : representations and expansions

Creator:: Rode, Erica S.
Abstract:: This dissertation examines properties and representations of several isotropic Gaussian random fields in the unit ball in d-dimensional Euclidean space. First we consider Lévy's Brownian motion. We use an integral representation for the covariance function to find a new expansion for Lévy's Brownian motion as an infinite linear combination of...
Resource Type:: Dissertation

Skew diffusion with drift : a new class of stochastic processes with applications to parabolic equations with piecewise smooth coefficients

Creator:: Arachchi Appuhamillage, Thilanka Iresh
Abstract:: This thesis consists of three subsequent parts addressing the applications of stochastic processes to the analysis and solutions of parabolic equations with discontinuous coefficients that are of mathematical interest. The first two parts consist of three manuscripts, in which we analyze solutions of Fickian convection dispersion equations with discontinuous coefficients...
Resource Type:: Dissertation
Full Text:: succeeded. Many special thanks to Professors Edward C. Waymire and Vrushali A. Bokil for their

ScholarsArchive@OSU

Numerical Simulation of a Thouless Pump

Music Generation and Evaluation Using R

Polynomial Chaos Expansions for Random Ordinary Differential Equations

A Ross-Macdonald Model with Vector Demography

Modeling of Power Efficiency in a Magnetohydrodynamic Generator

Optimization under Uncertainty of a Magnetohydrodynamics Generator

Modelling Development of Opinion Matrices Over Time

Numerical Analysis of a System of Parabolic Variational Inequalities with Application to Biofilm Growth

Gaussian random fields related to Lévy's Brownian motion : representations and expansions, Gaussian random fields related to Levy's Brownian motion : representations and expansions

Skew diffusion with drift : a new class of stochastic processes with applications to parabolic equations with piecewise smooth coefficients

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