Browsing Master's Theses (Mathematics) by Title

Now showing items 11-30 of 40

The Hawaiian Earring

Black, Steven R. (1996-11-26)
A heterogeneous flow numerical model based on domain decomposition methods

Zhang, Yi (2013-03-14)

In this study, a heterogeneous flow model is proposed based on a non-overlapping domain decomposition method. The model combines potential flow and incompressible viscous flow. Both flow domains contain a free surface bo ...
The heuristics college students use and the difficulties they encounter solving conditional probability problems : a case study analysis

Bamberger, Mary E. (2000-06-08)

The purpose of this descriptive case study analysis was to provide portraits of the heuristics students used and difficulties they encountered solving conditional probability problems prior to and after two-week instruct ...
High order finite difference methods

Iseri, Shellie M. (1996-03-01)
How the perceptron reacts on non-separable classification problems

Venema, Rienk S. (1994-05-26)

Neural networks are models which have been developed to simulate the anatomy of the nervous system. The connection between the elements of these networks, the so called artificial neurons, is similar to the connection ...
The implicit derivative matching technique for Maxwell's equations in complex heterogeneous media

Kirk, Anna Rae (2011-06-21)

We construct an implicit derivative matching (IDM) technique for restoring the accuracy of the Yee scheme for Maxwell's equations in dispersive media with material interfaces in one dimension. We consider media exhibitin ...
Mixing time for a 3-cycle interacting particle system : a coupling approach

Eves, Matthew Jasper (2007-08-16)

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 permutation ...
A model of Non-Euclidean geometry in three dimensions, II

Eschrich, Robert William (1967-11-13)

This paper is a continuation of William Zell's thesis, A Model of Non-Euclidean Geometry in Three Dimensions. The purpose of that thesis was to show that the axioms of non-Euclidèan geometry are consistent if Euclidean g ...
Modulo m properties of the Fibonacci sequence

Vinson, John Ellsworth (1961-05-16)
Nonlinear solvers for a model problem of fluid flow in the subsurface

Biederman, Shannon Miriah (2007-02-27)

Water is one of the most biologically and economically important substances on Earth. A significant portion of Earth's water subsists in the subsurface. Our ability to monitor the flow and transport of water and other ...
A numerical approach to Tamme's problem in euclidean n-space

Adams, Patrick Guy (1997-06-09)
Numerical computation of free surface water flow

Kuhnert, Jorg (1995-11-30)

The present thesis is a report of investigations on a model for computing the water flow in the wave tank of the OSU Wave Laboratory. A wave board, established at one end of the 100 m long, 4 m wide and 6 m deep wave tan ...
On existence and uniqueness of weak solutions to the Navier-Stokes equations in R3

Peterson, Samuel H. (Samuel Houston) (2012-06-08)

This thesis is on the existence and uniqueness of weak solutions to the Navier-Stokes equations in R3 which govern the velocity of incompressible fluid with viscosity ν. The solution is obtained in the space of tempered ...
Operator splitting methods for Maxwell's equations in dispersive media

Keefer, Olivia A. (2012-06-07)

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 ...
Pseudo-spectral approximations of Rossby and gravity waves in a two-Layer fluid

Wolfkill, Karlan Stephen (2012-06-13)

The complexity of numerical ocean circulation models requires careful checking with a variety of test problems. The purpose of this paper is to develop a test problem involving Rossby and gravity waves in a two-layer ...
Real algebraic geometry and the Pierce-Birkhoff conjecture

Klute, Annette (1991-03-28)
Ruin theory under uncertain investments

Constantinescu, Corina D. (2003-06-11)
Solvability of equations by radicals

Brown, Robert Wallace (1952-04-25)
Solving polynomial equations from 2000 B.C. through 20th century

Farea, Hussain A. (1994-07-25)

This paper is divided into two parts. The first part traces (in details providing proofs and examples) the history of the solutions of polynomial equations(of the first, second, third, and fourth degree) by radicals f ...
Spatial ability and mathematics

Schmidt, Stephen M. (2001-05-30)

Understanding mathematics and teaching mathematics involve numerous factors, one of which may be an individual's spatial ability. This paper examines research conducted on the relationship between spatial abilities an ...