Graduate Program

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*

2015(Advisor:Aceves)

**Zheng Wang**

*Filtered Davidson-type Methods for Large-scale Eligen-related Problems*

2015(Advisor: Zhou)

**Young Ok Choi
**

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 )