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:: Kwon, Young Jin
Abstract:: The first part of this work presents an executive system for steady state process systems analysis. The executive is developed to promote maximum flexibility, generality and a high degree of man-machine interaction by allowing the user to write a Fortran main calling program which permits special logic and control to...
Resource Type:: Dissertation
Full Text:: stream, the process calcu- lation becomes highly iterative and often sophisticated numerical techniques

Creator:: Stynes, Martin J.
Resource Type:: Dissertation
Full Text:: DOCTOR OF PHILOSOPHY in MATHEMATICS presented on January 13, 1977 Title: AN ALGORITHM FOR THE NUMERICAL

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

Creator:: Orhanovic, Neven
Abstract:: A numerical method based on the the method of characteristics for hyperbolic systems of partial differential equations in four independent variables is developed and used for solving time domain Maxwell's equations. The method uses the characteristic hypersurfaces and the characteristic conditions to derive a set of independent equations relating the...
Resource Type:: Dissertation
Full Text:: Maxwell's Equations by the Method of Characteristics Abstract approved: A numerical method based on

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