Index Catalog // ScholarsArchive@OSU

A Partial Proof of Bertrand's Theorem

Creator:: Musgrove, John F.
Abstract:: In this paper, we provide a thorough proof of most of Bertrand's Theorem. Using Arnold's book "Mathematical methods of classical mechanics" as a backbone and calculus methods demonstrated by Jovanović in his article "A note on the proof of Bertrand's theorem," we show that for masses in a central field...
Resource Type:: Honors College Thesis
Full Text:: , representing Mathematics Adel Faridani, Committee Member, representing Mathematics Enrique Thomann, Committee

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

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

Determination of the Filippov solutions of the nonlinear oscillator with dry friction

Creator:: Moreland, Heather L.
Abstract:: In previous papers by Awrejcewicz in 1986 and Narayanan and Jayaraman in 1991, it was claimed that the nonlinear oscillator with dry friction exhibited chaos for several forcing frequencies. The chaos determination was achieved using the characteristic exponent of Lyapunov which requires the right-hand side of the differential equation to...
Resource Type:: Masters Thesis
Full Text:: shared. Many thanks to the members of my committee, Professors Jeff Barnes, Adel Faridani, and John Lee

Student & textbook presentation of divergence

Creator:: Smith, Emily M.
Abstract:: This thesis explores student understanding of divergence in physics settings. The various uses of divergence in physics are detailed. Textbook approaches to divergence are categorized as geometric, curvilinear coordinate, discussion-based, and algebraic statement. Textbook approaches to the divergence theorem are categorized as geometric, equivalent integrals, mathematical statement with explanation, and...
Resource Type:: Masters Thesis
Full Text:: other members of my committee, Dr. David Roundy, Dr. Janet Tate, Dr. Emily van Zee, and Dr. Adel

Coupled dynamics of bouys and mooring tethers

Creator:: Idris, Krisnaldi
Abstract:: Time-domain models were developed to predict the response of a tethered buoy subject to hydrodynamic loadings. A coupled analysis of the interaction of a buoy and its mooring is included and three-dimensional response is assumed. External loadings include hydrodynamic forces, tethers tensions, wind loadings and the weight of both cable...
Resource Type:: Dissertation
Full Text:: and committee members; Dr. Adel Faridani, Dr. William G. McDougal and Dr. Lorin Davis. Dr. Reubeen

Finite volume method modeling of corona discharge microreactor oxidization of dibenzothiophene

Creator:: Fan, Xiangru
Abstract:: The growing need for cleaner fuels requires the development of better deep fuel desulfurization methods. The current study presents a reaction model for the mechanism of dibenzothiophene oxidization by dissolved oxygen occurring in a corona discharge microreactor. In the present work, a Finite Volume Method model of the reactor is...
Resource Type:: Masters Thesis
Full Text:: thesis work. And thanks for Dr.chang , Dr. faridani and Dr.Zhang for being my thesis committee. A

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

Evaluating Stiffness Metrics for Predicting the Cost of Chemical Kinetics Integration

Creator:: Alferman, Andrew Thomas
Abstract:: Simulations of combustion and reacting flows often encounter stiffness in the equations governing chemical kinetics. Explicit solvers for these ordinary differential equations offer low computational expense, but typically cannot efficiently handle stiff systems. In contrast, implicit methods demand greater expense but offer unconditional stability—as a result, most reactive-flow solvers rely...
Resource Type:: Masters Thesis

Finite element transport using Wachspress rational basis functions on quadrilaterals in diffusive regions

Creator:: Davidson, Gregory G.
Abstract:: Wachspress rational functions are ratios of polynomials having certain properties which make them good candidates for basis functions in finite element methods. In addition. it had been theorized that Wachspress rational weight functions should Provide a full-resolution discretization of the neutral particle transport equation in thick diffusive regions, but this...
Resource Type:: Masters Thesis

ScholarsArchive@OSU

A Partial Proof of Bertrand's Theorem

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

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

Determination of the Filippov solutions of the nonlinear oscillator with dry friction

Student & textbook presentation of divergence

Coupled dynamics of bouys and mooring tethers

Finite volume method modeling of corona discharge microreactor oxidization of dibenzothiophene

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

Evaluating Stiffness Metrics for Predicting the Cost of Chemical Kinetics Integration

Finite element transport using Wachspress rational basis functions on quadrilaterals in diffusive regions

Limit your search

Academic Affiliation

Advisor

Commencement Year

Committee Member

Creator

Contributor

Date

Decade

Degree Field

Degree Level

Degree Name

File Format

Language

License

Non-Academic Affiliation

Peer Reviewed

Resource Type

Rights Statement

Subject

Search Constraints

Search Results

Limit your search