Browsing Master's Theses (Mathematics) by Title

Now showing items 17-36 of 39

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 ...
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 ...
Spectral integration and the numerical solution of two-point boundary value problems

Norris, Gordon F. (1999-09-22)

Spectral integration methods have been introduced for constant-coefficient two-point boundary value problems by Greengard, and pseudospectral integration methods for Volterra integral equations have been investigated b ...
Stochastic geometry with applications to river networks

Peckham, Scott (1990-02-14)

Empirical observations have established connections between river network geometry and various hydrophysical quantities of interest. Since rivers can be decomposed into basic components known as links, one would like t ...
The structure of preordered sets and their topological properties

Bu, How-shone (1972-03-27)

Let X be a set. Given any preorder < on the set X, there corresponds a family of subsets of X, namely, WIx E x} where L = {y y E X y <x} such that, for all elements x and y of X, x <y iff L ( L. In this thesis, it is sho ...
Thermodynamic correction for salts in variably saturated porous media

Burns, Erick R. (2004-05-26)

Using thermodynamic principles, the general relationship describing the equilibrium vapor content in the gas phase above a saline liquid and across a curved liquid-gas interface is developed. Since high salt concentrat ...
Time dependent wavemaker problem for linear waves

Cooper, Julia M. (1989-05-18)

The classical two-dimensional wavemaker problem is formulated for linear waves. Two conformal mappings are applied to the mathematical formulation to transform the wavemaker problem into a unit disk. It is then shown ...
Towards an analytical model for carbon storage in forested landscapes

Ngo, Nam V. (2006-07-24)

An analytical model is developed to address the question of how different disturbance regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five po ...
Upscaling non-Darcy flow using mixed finite element method

Garibotti, Cristiano Rodrigues (2007-05-09)

In this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of flow applies to flow in porous media when large velocities occur. The well-posedness results for theory of quasil ...