APPM Ph.D. Dissertations

Hong Liu, PhD, August 2006
Rare Events, Heavy Tails, and Simulation
Abstract

Cory Ahrens, PhD, May 2006
The Asymptotic Analysis of Communications and Wave Collapse Problems in Nonlinear Optics
Abstract

Mark Hoefer, PhD, April 2006
Dispersive Shock Waves in Bose-Einstein Condensates and Nonlinear Nano-oscillators in Ferromagnetic Thin Films
Abstract   dissertation.pdf

Paki Suwannajan, PhD, August 2005
Evaluating the Performance of Latent Semantic Indexing
Abstract

Marcio Carvalho, PhD, May 2005
Applying Perfect Simulation to solve Stochastic Difference Equations that arise from certain Time Series Models
Abstract   thesis.pdf

Paul Mullowney, PhD, December 2004
Lagrangian Particle Transport/Mixing in Blinking-Roll Systems
Abstract   thesis.pdf   (pix.html)

Mark Petersen, PhD, December 2004
A Study of Geophysical and Astrophysical Turbulence using Reduced Equations
Abstract   thesis.pdf

Oliver Roehrle, PhD, September 2004
Multilevel First-Order System Least Squares for Quasilinear Elliptic Partial Differential Equations
Abstract   thesis.pdf

Feng-Nan Hwang, PhD, September 2004
Some Parallel Linear and Nonlinear Schwarz Methods with Applications in Computational Fluid Dynamics
Abstract   thesis.pdf

Neil Martinsen-Burrell, PhD, August 2004
Merger and Alignment of Three-dimensional Quasigeostrophic Vortices
Abstract   thesis.pdf

Matthew Tearle, PhD, August 2004
Optimal Perturbation Analysis of Stratified Shear Flows
Abstract   thesis.pdf

Eunjung Lee, PhD, June 2004
FOSLL* for eddy current problems with three-dimensional edge singularities
Abstract

Srinath Vadlamani, PhD, June 2004
An Algorithmic Unification of Particle-In-Cell and Continuum Methods and a Wave-Particle Description for the Electron Temperature Gradient (ETG) Instability Saturation
Abstract

Eric Thaler, PhD, May 2004
An evaluation of the operational use of numerical solutions to the quasigeostrophic diagnostic equations by weather forecasters
Abstract   thesis.pdf   (pix.html)

Scott MacLachlan, PhD, May 2004
Improving Robustness in Multiscale Methods
Abstract   thesis.pdf

Chad Westphal, PhD, May 2004
First-Order System Least Squares for Geometrically-Nonlinear Elasticity in Nonsmooth Domains
Abstract   thesis.pdf

Richard McNamara, PhD, May 2004
Applications of Spanning Trees to Continuous-Time Markov Processes, with Emphasis on Loss Systems
Abstract   dissertation.pdf

Allison Baker, PhD, September 2003
Improving the performance of the linear solver restarted GMRES
Abstract   Thesis.pdf   (Thesis.ps)

Kristian Sandberg, PhD, August 2003
Forward and inverse wave propagation using bandlimited functions and a fast reconstruction algorithm for electron microscopy
Abstract   thesis.pdf

Ulrike Schneider, PhD, August 2003
Advances and Applications in Perfect Sampling
Abstract   thesis.pdf

Luke Olson, PhD, August 2003
Multilevel Least-Squares Finite Element Methods for Hyperbolic Partial Differential Equations
Abstract   thesis.pdf

Adriana Gómez-Hoyos, PhD, July 2003   (Dept. of Mathematics)
Conservative Maps: Reversibility, Invariants and Approximation
Abstract   thesis.pdf

Grady Wright, PhD, May 2003
Radical Basis function Interpolation: Numerical and Analytical Developments
Abstract

Cristina Perez, PhD, May 2003
Simulating the Interaction Between Intraseasonal and Interannual Variability in the Tropical Pacific with a Coupled System of Nonlinear Ordinary Differential Equations
Abstract   thesis.pdf

Eric S. Wright, PhD, August 2002
Modeling and Analysis of Aqueous Chemical Reactions in a Diffusive Environment
Abstract   dissertation.pdf

John Carter, PhD, December 2001
Stability and Existence of Traveling Wave Solutions of the Two-Dimensional Nonlinear Schrödinger Equation and its Higher-Order Generalizations
Abstract   Thesis.pdf   (Thesis.ps)

Travis Austin, PhD, December 2001
Advances on a Scaled Least-Squares Method for the 3-D Linear Boltzman Equation
Abstract   thesis.ps

Rudy Horne, PhD, August 2001
Collision induced timing jitter and four-wave mixing in wavelength division multiplexing soliton systems
Abstract   rudythesis.ps

Bobby Phillip, PhD, August 2001
Asynchronous Fast Adaptive Composite Grid Methods for Elliptic Problems on Adaptively-Refined Curvilinear Grids
Abstract   thesis.pdf

Andrea Codd, PhD, May 2001
Elasticity-Fluid Coupled Systems and Elliptic Grid Generation (EGG) based on First-Order System Least Squares (FOSLS)
Abstract   codd.pdf

Tim Chartier, PhD, May 2001
Element-Based Algebraic Multigrid (AMGe) and Spectral AMGe
Abstract   thesis.pdf

Hugh MacMillan, PhD, May 2001
First-Order System Least Squares and Electrical Impedance Tomography
Abstract   draft.ps

Brian Bloechle, PhD, May 2001
On the Taylor Dispersion of Reactive Solutes in a Parallel-Plate Fracture-Matrix System
Abstract   thesis.pdf

Ken Jarman, PhD, December 2000
Stochastic immiscible flow with moment equations
  kjthesis.ps

Vanessa Robins, PhD, August 2000
Computational Topology at Multiple Resolutions
  robins.pdf   (robins.ps)   (ch1.pdf)   (ch2.pdf)   (ch3.pdf)   (ch4.pdf)   (ch5.pdf)   (chB.pdf)

David Trubatch, PhD, August 2000
Topics in Solitons and Inverse Scattering: I. Discretization of the vector nonlinear Schrodinger equation, and II. A new class of 'reflectionless' potentials of the nonstationary Schrodinger equation and solutions of the Kadomtsev and Petviashvili I equation

Vlatcheslave Akmaev, PhD, August 2000
Phylogenic Approach to Molecular Structure Prediction
  thesis.ps

Michelle Ghrist, PhD, May 2000
High-order finite difference methods for wave equations

Markus Berndt, PhD, May 1999
Adaptive refinement and the Treatment of Discontinuous Coefficients for Multilevel First-Order System Least Square (FOSLS)

David Sterling, PhD, May 1999
Anti-integrable continuation and the destruction of chaos
  thesis.ps

Laurie Heyer, PhD, August 1998
The probabilistic behavior of sequence analysis scores with application to structural alignment of RNA

Peter Staab, PhD, August 1998
Three-dimensional acoustic-rotational flows in solid-fuel rocket motors
  thesis.pdf

Bernard Deconinck, PhD, May 1998
The initial-value problem for multiphase solutions of the Kadomtsev-Petviahvili equation

Lora Billings, PhD, May 1998
Dynamical Systems Methods Applied to Polynomial Factorization Families: a Study of Chaotic Attractors

Nicholas Coult, PhD, August 1997
unknown

Alejandro Spina, PhD, December 1996
unknown

Robert Cramer, PhD, December 1996
A Multiresolution Approach to Fast Summation and Regularization of Singular Operators

Barry Lee, PhD, December 1996
First-Order Systems least Squares for Electromagnetics
  barry.pdf

David Sholl, PhD, December 1995
Lattice Gas Models of Surface Chemistry

James Keiser, PhD, May 1995
I. Wavelet Based approach to Numerical Solution of Nonlinear Partial Differential Equations, and II. Nonlinear Waves I Fully Discrete Dynamical Systems

Erik Bollt, PhD, May 1995
Controlling Chaos, Targeting and Transport

Scott Herod, PhD, August 1994
Computer Assisted Determination of Lie Point Symmetries with Application to Fluid Dynamics

Linda Sundbye, PhD, May 1994
Global Existence of Solutions for the Shallow water Equations

Arthur Mizzi, PhD, May 1994
Spectral Representation of the Vertical Coordinate in Three Dimensional Atmospheric Models on Tropical beta and f-Planes

Martha Nesbitt Limber, PhD, December 1991
The Dynamics of Shooting Methods for Solving Sturm-Liouville Problems

James Brannick, PhD,
Compatible Relaxation and Optimal Interpolation
Abstract