Index Catalog // ScholarsArchive@OSU

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
Full Text:: Master of Science in Mathematics presented on January 3, 2019. Title: Numerical Study of Convexity

Creator:: Arthur, Samuel Codjoe
Abstract:: The Euler-MacLaurin sum formula has appeared in the titles of two quite recent papers whose authors were primarily interested in certain applications. In this paper a somewhat different approach to the myriad of formulas for summation, integration, differentiation, etc. , is based on the simple identity which defines the set...
Resource Type:: Masters Thesis
Full Text:: . Introduction to numerical analysis. New York, N. Y. , McGraw -Hill, 1956. 511 p. 9. Knopp, Konrad. Theory

Creator:: Henderson, Scott Edward
Abstract:: In this thesis, we investigate the problem of simulating Maxwell's equations in dispersive dielectric media. We begin by explaining the relevance of Maxwell's equations to 21st century problems. We also discuss the previous work on the numerical simulations of Maxwell's equations. Introductions to Maxwell's equations and the Yee finite difference...
Resource Type:: Masters Thesis
Full Text:: Numerical Methods for the Simulation of Electromagnetic Waves in Dispersive Media Abstract approved

Creator:: Eves, Matthew Jasper
Abstract:: This thesis examines the mixing times for one-dimensional interacting particle systems. We use the coupling method to study the mixing rates for particle systems on the circle which move according to specific permutations e.g., transpositions and 3-cycles.
Resource Type:: Masters Thesis

Creator:: Keefer, Olivia A.
Abstract:: Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...
Resource Type:: Masters Thesis
Full Text:: like the Yee or FDTD scheme and the Crank-Nicolson scheme. Finally, results of numerical simulations

ScholarsArchive@OSU