Graduate Program

Doctoral Dissertations

Jean Sexton
High-order Relaxed Multirate Infinitesimal Step Methods for Multphysics Applications 
2017 (Advisor: Reynolds)

Fritz Junke
High-order implementations of the Double Absorbing Boundary 
2017 (Advisor: Hagstrom)

Jessica Schoenfeld
The existence of spontaneous parity-time symmetry breaking, asymmetric transport and defect modes in nonlinearly coupled Van Der Pol oscillators
2017 (Aceves)

Claudia Castro Casto
Non-linearity, PT symmetry, twist and disorder in the discrete nonlinear Schroedinger equation
2017 (Advisor: Aceves)

Tom Sheffield
Collapses and ensemble dynamics in one and two dimensional weak wave turbulence 
2017 (Advisor: Aceves)

Yang Liu
The immersed interface method for flow around non-smooth boundaries and its parallelization 
2017 (Advisor: Xu)

John Lagrone
Application and Optimization of Complete Radiation Boundary Conditions
2016 (Advisor: Hagstrom)

Manprit Jutley
Studies in microfluidics electrolyte film stability and droplet evaporation dynamics
2016 (Advisor: Ajaev)

Choi Young Ok
The Galerkin Boundary Element Method for Three-Dimensional Transient Strokes Flow
2015 (Advisor: Tausch)

Jang Young
Contributions of the theory and applications of Hermite methods
2015 (Advisor: Hagstrom)

Ed Downes
Numerical simulations of nonlinear processes in light filaments

Zheng Wang
Filtered Davidson-type Methods for Large-scale Eligen-related Problems
2015(Advisor: Zhou)

Young Ok Choi 
The Galerkin Boundary Element Method for Three-Dimensional Transient Stokes Flow
Aug 4, 2015 (Advisor: J. Tausch)

Christiaan Ketelaar Barrio
Stability of Thin Electrolyte Films on Flat and Structured Substrates 
May 17, 2014 (Advisor:  V. Ajaev)

David Gardner 
Filters for the Improvement of Multiscale Data from Atomistic Simulations
May 17, 2014 (Advisor:  D. Reynolds)

Glen Dale Pearson Jr.  
The Parallel Immersed Interface Method with a Triangular Mesh Representation of an Interface 
May 17, 2014 (Advisor: S. Xu)

Elizabeth Case
Numerical integral equations in solidification and melting problems
May 18, 2013 (Advisor: J. Tausch )

Alyssa Pampell
Multiscale dynamics and stochastic forcing of the Atlantic meridional overturning circulation in conceptual models
May 18, 2013 (Advisor: A. Aceves )

Hilari Tiedeman
Multilevel Schur complement preconditioning for multi-physics simulations
December 15, 2012 (Advisor: D. Reynolds )

Kurt Stein
Complete Radiation Boundary Conditions: Corner and Edge Closure Conditions
December 15, 2012 (Advisor: T. Hagstrom )

Miguel Uh
The immersed interface method for two-fluid problems
May 12, 2012 (Advisor: Sheng Xu )

David Stowell
Computing Eigensolutions for Singular Sturm-Liouville Problems in Photonics
May 16, 2010 (Advisor: J. Tausch )

Jonathan L. Mitchell
Synchronous and Asynchronous Oscillations in a Model for Antigenically Varying Malaria, Including the Effects of Constant and State-Dependent Delay
May 15, 2010 (Advisor: T. Carr )

Iranga Nagasinghe
Computing Principal Eigenvectors of Large Web Graphs: Algorithms and Accelerations Related to Pagerank and Hits
May 15, 2010 (Advisor: Y. Zhou )

Jennifer A. Tarin
Analysis of Shell Models in Relation to a New Self-Similarity Theory of the Inertial Range in Isotropic Homogeneous Turbulence
August 4, 2009 (Advisor: M. Melander)

Jill Klentzman
Viscous Flow, Evaporation, and Phase Explosion in Thin Liquid Films
August 4, 2009 (Advisor: V. Ajaev )

Christina Dekany
Adaptive Finite Element Methods for Reaction-Diffusion Equations in Two Space Dimensions
August 4, 2009 (Advisor: P. Moore )

Michael Taylor
Epidemic Models for Partial-Temporary Immunity with Delay
May 16, 2009 (Advisor: T. Carr )

Md. Ziaul Haque
An Adaptive Finite Element Method for Systems of Second-Order Hyperbolic Partial Differential Equations in One Space Dimension
August 1, 2008 (Advisor: P. Moore )

Praveen Chaturvedi
Single Phase Flow Multicomponent Simulation in Porous Media
May 17, 2008 (Advisor: Z. Chen )

Guanghua Cao
Pricing and Risk Management of Variable Annuities and Equity-indexed Annuities
December 15, 2007 (Advisor: Z. Chen )

Woon-Kwan Lam
Pattern Formation in Non-Linear Chemical Systems
December 15, 2007 (Advisor: P. Moore )

Juan Peng
Transport of Multicomponents in a Fluid and Numerical Solution
August 1, 2007 (Advisor: Z. Chen )

Youqian Zhang
Development, Analysis and Numerical Methods For Multicomponent, Multiphase Flow in Porous Media
August 1, 2007 (Advisor: Z. Chen )

Marina Rangelova
Error Estimation for Fourth-Order Partial Differential Equations
May 19, 2007 (Advisor: P. Moore )

Mulugeta Markos
Steady Liquid Flow and Liquid-Vapor Interface Shapes in Different Groove Structures in Micro Heat Pipes
May 19, 2007 (Advisor: V. Ajaev )

Tatyana Savchuk
The Multiscale Finite Element Method for Elliptic Problems
December 9, 2006 (Advisor: Z. Chen )

Hilary Risser
Computational Methods for Singularly Perturbed Two-Point Boundary Value Problems
December 10, 2005 (Advisor: I. Gladwell )

David Wang
Parallel Computation for Reservoir Thermal Simulation: An Overlapping Domain Decomposition Approach
August 10, 2005 (Advisor: Z. Chen )

Baoyan Li
A Control Volume Function Approximation Method and Reservoir Simulation with Flexible Grids
August 6, 2003 (Advisor: Z. Chen )

Bentley Garrett
Wavelets and Boundary Value Problems
May 17, 2003 (Advisor: I. Gladwell )

Qiaoyuan  Jiang
Characteristic Finite Element Methods for Degenerate Parabolic Problems and Their Application to two-Phase Flow in Porous Media
May 19, 2001 (Advisor: Z. Chen )

Valeria Antohe
Computational Algorithms for Hamiltonian Systems
May 19, 2001 (Advisor: I. Gladwell )

David Diminnie
Slow Passage Through Homoclinic Orbits Associated with the Unfolding of a Saddle-Center Bifurcation
August 4, 2000 (Advisor: R. Haberman )

Todd Fortenberry
A Coating Flow Problem
May 15, 1999 (Advisor: D. Reinelt )

Natalia Khlopina
Finite Element Methods for Degenerate Two-Phase Incompressible Flow Problems
May 15, 1999 (Advisor: Z. Chen )

Jacek Kierzenka
Studies in the Numerical Solution of Ordinary Differential Equations
December 12, 1998 (Advisor: L. Shampine )

J. German Gonzalez Santos
A Numerical Study of Simple Shearing Foams
May 16, 1998 (Advisor: D. Reinelt )

Julie L. Kamm
Singular Value Decomposition-Based Methods for Signal and Image Processing
May 16, 1998 (Advisor: J. Nagy)

Malgorzata Napierala
Univariate and Multivariate, Sequentila and Parallel Integration on Finite Ranges
December 14, 1996 (Advisor: I. Gladwell )

Jerry Dean Brothers
Sequence of Subharmonic Resonances and Slow Separatrix Crossing
December 16, 1995 (Advisor: R. Haberman )

Kenneth Mack Woodson Jr.
Projected Implicit Runge-Kutta Methods for Solving Differential-Algebraic Equations
May 20, 1995 (Advisor: I. Gladwell )

Nandini Mitra
Extension of Properties of Compartmental Matrices to M-Matrices
May 21, 1994 (Advisors: J. Eisenfeld and I. Gladwell)

Analee Witt
Studies in the Numerical Solution of Initital Value Problems in Ordinary Diefferential Equations
May 21, 1994 (Advisor: L. Shampine )

Jing Wang
Numerical Methods for Hamiltonian Systems
December 18, 1993 (Advisor: I. Gladwell )

Gertrud L. Kraut
Parallel Direct and Iterative Methods for Boundary Value Problems
August 13, 1993 (Advisor: I. Gladwell )

Ka-Ho (Eric) Ho
Hamiltonian Systems with Dissipation: Basins of Attraction and Nearly Homoclinic Orbits
May 22, 1993 (Advisor: R. Haberman )

Michael E. Hosea
Studies in the Numerical Solution of Ordinary Differential Equations
May 22, 1993 (Advisor: L. Shampine )

Andrew Victor Barrett
The Numerical Solution of Boundary Value Problems for Differential Algebraic Equations
May 16, 1992 (Advisor: G. Reddien )

Wen Zhang
Numerical Solution of Ordinary Differential Equations with Applications
December 15, 1990 (Advisor: I. Gladwell )

Marcin Paprzycki
Parallelization of Boundary Value Problem Software
May 19, 1990 (Advisor: I. Gladwell )

Przemyslaw Bogacki
Efficient Runge-Kutta Pairs and Their Interpolants
May 19, 1990 (Advisor: L. Shampine )

Freddie Jerald Bourland II 
Modulations of the Phase Shift for Nonlinear Oscillators and Dispersive Waves and Connections Across a Separatrix 
May 20, 1989 (Advisor:  R. Haberman )

Laihua Sheng 
Numerical Solution of  Nonlinear Least Squares Problems by a Class of Broyden-Like Methods
December 17, 1988 (Advisor:  W. Ferguson )

Towanna Anstett Roller 
Recursive Processes in Linear and Nonlinear Compartmental Analysis 
December 17, 1988 (Advisor:  D. Anderson )

Darrell Emory Allgaier 
Wave Number Shocks for the Tail of Korteweg-Devries Solitary Waves in Slowly Varying Media 
April 7, 1986 (Advisor:  R. Haberman )

Joseph Graves McWilliams 
Properties of the Transfer Function in Compartmental Models 
July 19, 1985 (Advisor:  D. Anderson )

Ren-ji Sun 
Caustics for Dispersive Waves: Asymptotics of Nonlinear Schrodinger Equation and Its Reimann-Hilbert Problem 
August 1, 1984 (Advisor:  R. Haberman )

Basem Saleem Attili 
Computation of High Order Singular Points and Multiple Shooting
August 1, 1984 (Advisor:  G. Reddien )