Name | Dissertation Title | Advising Professor(s) | |
2025 | | | |
| Marlin Figgins | From Mechanism to Practice: Evolutionary Forecasting for SARS-CoV-2 | Trevor Bedford | |
| Dayou Luo | Modeling and Algorithms for Nonconvex Trajectory Generation Problems: From Constraint Reformulations and First-Order Proximal Methods to Structure-Exploiting Convex Solvers | Behcet Acikmese | |
| Biraj Pandey | Weaving Order From Uncertainty: Design, Analysis, and Application of Transport-based Generative Models | Bamdad Hosseini | |
| Jacob Stevens-Haas | Open-Source Dynamical Systems Research, with a Side of (Francis) Bacon | Aleksandr Aravkin, Nathan Kutz | |
| Yiting Zhang | Spectral-in-time methods for time-evolution partial differential equations | Thomas Trogdon | |
2024 | | | |
| Matthew Farkas | Explicit Solutions to Linear, Second-Order, Initial-Boundary Value Problems with Variable Coefficients | Bernard Deconinck | |
| Jack Coughlin | Asymptotic and non-asymptotic model reduction for kinetic descriptions of plasma | Jingwei Hu & Uri Shumlak | |
| Erin Angelini | Thermodynamic behavior of living systems: a biophysical approach to stochastic single-cell gene expression dynamics | Hong Qian | |
| Micah Henson | A Mathematical Theory for Optimal Marital Interactions | Ka-Kit Tung & Mark Kot | |
| Helena Liu | Deep learning frameworks for modeling how neural circuits learn | Eric Shea-Brown | |
| Jiazhong Mei | Data-Driven Methods for Sparse Sensor Problems in Spatiotemporal Systems | J. Nathan Kutz | |
| Erin Stafford | Optimization of Infectious-Disease Mitigation Strategies with Economic or Equity Perspectives | Mark Kot | |
| Natchanon Suaysom | Interest Rate Problems: Implied Volatility of Options on Bonds and Forward Rates, and Optimal Times to Buy and Sell a Home | Matthew Lorig | |
2023 | | | |
| Olga Dorabiala | Robust Approaches for Unsupervised Learning | J. Nathan Kutz & Aleksandr Aravkin | |
| Nora Gilbertson | Dynamics in Discrete Time: Successional Communities, Spatial Models, and Allee Effects | Mark Kot | |
| Nathan Lee | Investigating longitudinal evolution of liquid cancers using computational and mathematical models | Ivana Bozic | |
| Aleksei Sholokhov | Optimization methods for parameter indentifications in settings with only partial knowledge | Aleksandr Aravkin & J. Nathan Kutz | |
| Meghana Velegar | Reduced Order Model for Global Atmospheric Data | J. Nathan Kutz | |
| Ryan Vogt | Interpretation and Optimization of Recurrent Neural Network Performance Through Lyapunov Exponents Methodology | Eli Shlizerman | |
2022 | | | |
| Tyler Chen | Lanczos based methods for matrix functions | Anne Greenbaum & Thomas Trogdon | |
| Jorge Cisneros | The Unified Transform Method and its semi-discrete analogue for numerically solving IBVPs | Bernard Deconinck | |
| Ryan Creedon | A Complete Asymptotic Analysis of the Spectral Instabilities of
Small-Amplitude Periodic Water Waves | Bernard Deconinck | |
| Roman Levin | Applications of Optimization and Machine Learning on Healthcare | Aleksandr Aravkin | |
| Hexuan Liu | Dimensionality Reduction for Supervised and Unsupervised Learning: New Algorithms, Analysis, and Applications | Alexander Aravkin & Anne Greenbaum | |
| Yuying Liu | Neural Networks for Nonlinear Dynamical Systems | Nathan Kutz & Steven Brunton | |
| Katherine Owens | Life Together: Modeling the Collective Behavior of Cellular Communities | Ivana Bozic & J. Nathan Kutz | |
| Diya Sashidhar | Data-Driven Methods for Time Series Forecasting, Classification, and Uncertainty Quantification | J. Nathan Kutz | |
| Jianghong Shi | Representations of Biological and Artificial Neural Networks | Eric Shea-Brown | |
| Lowell Thompson | Affine Structures and Stochastic Thermodynamics on the Space of Measures | Hong Qian | |
| Doris Voina | A Discovery of Neural Network Architectures for Context-Dependent Computations | Eric Shea-Brown, Stefan Mihalas | |
| Ying-Jen Yang | Thermodynamic Principles of Stochastic Dynamics: Time Symmetries and Data Infinitum | Hong Qian | |
| Zhengde Zhao | Multiscale Financial Signal Processing and Machine Learning | Tim Leung | |
2021 | | | |
| Bobby Baraldi | A Proximal Quasi-Newton Trust-Region Method for Nonsmooth Regularized Optimization | Aleksandr Aravkin | |
| Yu-Chen Cheng | Asymptotic Behaviors and Perturbation Analysis of Stochastic Dynamics and Applications to Complex Systems | Hong Qian | |
| Kenan Li | Crouzeix’s Conjecture and Beyond for Special Classes of Matrices | Anne Greenbaum | |
| Benjamin Liu | Invasions with Fat-Tailed and Long-Distance Dispersal | Mark Kot | |
| Kelsey Maass | Optimization Formulations and Algorithms for Cancer Therapy | Aleksandr Aravkin | |
| Megan Morrison | From worms to wars, modeling and controlling networked dynamical systems | Nathan Kutz | |
| Diya Sashidhar | Data-Driven Methods for Time Series Forecasting, Classification, and Uncertainty Quantification | Nathan Kutz | |
| Lowell Thompson | Affine structures and stochastic thermodynamics on the space of measures | Hong Qian | |
| Xin Yang | On the Riemann-Hilbert approach to the numerical solution of boundary-value problems for evolution partial differential equations | Bernard Deconinck & Thomas Trogdon | |
| Yang Zhou | Stochastic Control Methods for Dynamic Futures Portfolios | Tim Leung | |
2020 | | | |
| Matthew Farrell | Revealing structure in trained neural networks through dimensionality based methods | Eric Shea-Brown | |
| Andreas L. Freund | Wavelet-spectral analysis and large-eddy simulation using neural networks of droplet-laden decaying isotropic turbulence | Antonio Ferrante | |
| Yuan Gao | Generalized Matrix-fractional Functions and Their Applications | James Burke | |
| Kelsey Marcinko | Mathematical Analysis of Host–Parasitoid Dynamics | Mark Kot | |
| Sean Santos | Time Step Sensitivity and Process Coupling in Climate Models | Chris Bretherton/Peter Caldwell | |
| Brian de Silva | Data-driven discovery and model reduction of complex systems | Nathan Kutz/Steven Brunton | |
| Jeremy Upsal | Stability of solutions of integrable partial differential equations | Bernard Deconinck | |
| Xin Yang | On the Riemann-Hilbert approach to the numerical solution of boundary-value problems for evolution partial differential equations | Bernard Deconinck/Tom Trogdon | |
| Jize Zhang | Nonconvex Optimization Methods with Applications to Portfolio Selection and Hybrid Systems | Aleksandr Aravkin | |
| Yang Zhou | Stochastic control methods for dynamic futures portfolios | Tim Leung | |
2019 | | | |
| Weston D. Barger | A Partial Differential Equation Approach to Three Problems in Finance: Barrier Option Pricing, Optimal Asset Liquidation and Insider Trading | Matthew Lorig | |
| Kathleen P. Champion | From data to dynamics: discovering governing equations from data | Nathan Kutz | |
| Samuel H. Rudy | Computational methods for system identification and data-driven forecasting | Nathan Kutz/Steven Brunton | |
| Peng Zheng | Algorithm design for nonconvex and nonsmooth problems and its applications | Aleksandr Aravkin | |
2018 | | | |
| Tommaso Buvoli | Polynomial-Based Methods for Time Integration | Randall LeVeque | |
| Krithika Manohar | Data-Driven Sensor Placement Methods | Nathan Kutz/Steven Brunton | |
| Jacob Price | Multiscale Techniques for Nonlinear Dynamical Systems: Applications and Theory | Panos Stinis | |
| Yue Wang | Some Problems in Stochastic Dynamics and Statistical Analysis of Single-Cell Biology of Cancer | Hong Qian | |
| Felix Xiaofeng Ye | Stochastic Dynamics: Markov Chains, Random Transformations and Applications | Hong Qian | |
2017 | |
| Kameron Decker Harris | This Brain is a Mess: Inference, Random Graphs, and Biophysics to Disentangle Neuronal Networks | Eric Shea-Brown | |
| Benjamin Lansdell | On neural encoding: its estimation, application, and development | Adrienne Fairhall | |
| Yian Ma | Irreversibility in Stochastic Dynamic Models and Efficient Bayesian Inference | Hong Qian | |
| Susan C. Massey | Multi-scale modeling of paracrine PDGF-driven glioma growth and invasion | Kristin Swanson | |
| Scott Moe | High order shock capturing methods with compact stencils for use with adaptive mesh refinement and mapped grids | Randall LeVeque | |
| Donsub Rim | Uncertainty quantification problems in tsunami modeling and reduced order models for hyperbolic partial differential equations | Randall LeVeque | |
| Daniel Shapero | Data assimilation problems in glaciology | Randall LeVeque/Ian Joughin | |
| Timothy B. Oleskiw | On computing shape: a study of the neural processes concerning naturalistic boundary conformation within the ventral visual pathway | Eric Shea-Brown | |
| Niket Thakkar | Energy and Charge Transfer in Open Plasmonic Systems | David Masiello | |
| Benjamin Segal | The stability and instabilities of stationary solutions to the nonlinear Schroedinger and sine-Gordon equation | Bernard Deconinck | |
2016 | |
| Xing Fu | Integrating Data-Driven Methods in Nonlinear Dynamical Systems: Control, Sparsity, and Machine Learning | Nathan Kutz | |
| Jakob Kotas | Dynamic, convex, and robust optimization with Bayesian learning for response-guided dosing | Archis Ghate | |
| Bethany Lusch | Machine learning and data decompositions for complex networked dynamical systems | Nathan Kutz | |
| Syuzanna Sargsyan | Dimensionality hyper-reduction and machine learning for dynamical systems with varying parameters | Nathan Kutz | |
| Mauricio del Razo Sarmina | Stochastic Modeling of Reversible Biochemical Reaction-Diffusion Systems and High-Resolution Shock-Capturing Methods for Fluid Interfaces | Randall LeVeque/Hong Qian | |
2015 | |
| Natasha A. Cayco Gajic | Coordinated Neural Activity: Mechanistic Origins and Impact on Stimulus Coding | Eric Shea-Brown | |
| Kathleen M. Curtius | Multiscale Modeling of Esophageal Adenocarcinoma | Georg Luebeck | |
| Mikala C. Johnson | Self-Optimizing Metamaterial Antennas | Nathan Kutz | |
| Pedro D. Maia | Mathematical Modeling of Focal Axonal Swellings Arising in Traumatic Brain Injuries and Neurodegenerative Diseases | Nathan Kutz | |
| Natalie E. Sheils | Interface Problems Using the Unified Transform Method | Bernard Deconinck | |
| Olga Trichtchenko | On the Instability of Water Waves with Surface Tension | Bernard Deconinck | |
2014 | |
| Meng-Huo Chen | Analysis of an Aggregation-based Algebraic Multigrid Method and its Parallelization | Anne Greenbaum | |
| Yu Hu | Collective Activity in Neural Networks: the Mathematical Structure of Connection Graphs and Population Codes | Eric Shea-Brown | |
| Jihwan Kim | Finite Volume Method for Tsunamis Generated by Submarine Landslides | Randall LeVeque | |
| Guillaume Lajoie | On Driven Neural Assemblies: Synchrony, Chaos and Entropy | Eric Shea-Brown | |
2013 | |
| Jacob R. Grosek | Robust Real-Time Image Processing Through Dynamic Mode Decomposition | Nathan Kutz | |
| Christopher R. Jones | Single-column and mixed-layer model analysis of subtropical stratocumulus response mechanisms relevant to climate change | Christopher Bretherton | |
| Grady I. Lemoine | Numerical Modeling of Poroelastic-Fluid Systems Using High-Resolution Finite Volume Methods | Randall LeVeque | |
| Russell C. Rockne | Patient-Specific Mathematical Radiation Oncology | Kristin Swanson | |
| Thomas D. Trogdon | Riemann-Hilbert Problems, Their Numerical Solution and the Computation of Nonlinear Special Functions | Bernard Deconinck | |
| Mingyuan Zhong | Value function approximation methods for Linearly-solvable Markov Decision Process | Emo Todorov | |
| Ying Zhou | Geographic Range Shifts under Climate Warming | Mark Kot | |
2012 | |
| Nicholas Cain | Probabilistic, Statistical, and Dynamical Models of Neural Decision Making | Eric Shea-Brown | |
| Joshua Jacobs | Vortex Dynamics of Geostrophically Adjusted Density Perturbations in Stratified, Incompressible Fluids | Randall LeVeque/Pascale Lelong | |
| Laura Matarajt Arbetman | Optimal Vaccine Allocation for Pandemic Influenza | Mark Kot/Ira Longini | |
| Vishal Vasan | Some Boundary-Value Problems for Water Waves | Bernard Deconinck | |
| Matthew Williams | Exploiting Low Dimensionality in Nonlinear Optics and Other Physical Systems | Nathan Kutz | |
| Yun Zhang | ETG-ETL Portfolio Optimization | James Burke | |
| Jiansong Zhou | Climate Response to Solar Variation: Cyclic and Secular | Ka Kit Tung | |
2011 | |
| Lisa Bishop | The Origin of Noise-Induced Phenomena: A Mathematical Analysis of Mesoscopic Chemical and Biochemical Dynamics | Hong Qian | |
| Jonathan Claridge | Numerical methods and studies of parabolic problems, operator splitting, and adaptive mesh refinement | Randall LeVeque | |
| Joshua Goldwyn | Mathematical modeling of cochlear implants -- from single neurons to psychoacoustics | Eric Shea-Brown | |
| Edwin Ding | Modeling High-Energy Temporal and Spatial Mode-Locking | Nathan Kutz | |
| Woo Hyun Kim | On the Behavior of the Entropy Production Rate of a Diffusion Process in Nonequilibrium Steady State | Hong Qian | |
| Eleftherios Kirkinis | Renormalization Group Methods in Applied Mathematics | Robert O'Malley | |
| Christine Lind | Mathematical Models for Molecular Motors | Hong Qian | |
| Kyle Mandli | Finite Volume Methods for the Multilayer Shallow Water Equations with Applications to Storm Surges | Randall LeVeque | |
| Peizhe Shi | The Coupled Process and its Applications in Cellular Molecular Biology | Hong Qian | |
2010 | |
| Kirsten Fagnan | High-resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy | Randall LeVeque | |
| Minsun Kim | A mathematical framework for spatiotemporal optimality in radiotherapy | Archis Ghate | |
| Eric MacHorro | A study of several numerical methods for the Boltzmann transport problems | Anne Greenbaum | |
| Junya Uchida | Mixed-Layer Models and Large-Eddy Simulations of Stratocumulus-Topped Marine Boundary Layers: Their Nonlinear Dynamics and Sensitivity to Cloud Droplet Concentration | Chris Bretherton | |
2009 | |
| Christopher Curtis | Exact and approximate methods for computing the spectral stability of traveling-wave solutions | Bernard Deconinck | |
| Dean Gull | Steady State Analysis of Chemical Reaction Systems | Hong Qian | |
| Larry Jean | Stochastic multi-scale modeling of carcinogenesis | Georg Luebeck | |
| David Ketcheson | High Order Strong Stability Preserving Time Integrators and Numerical Wave Propagation Methods for Hyperbolic PDEs | Randall LeVeque | |
| Michael Nivala | Nonlinear Stability in Integrable Hamiltonian Systems | Bernard Deconinck | |
| Katie Oliveras | Stability of periodic surface gravity water waves | Bernard Deconinck | |
| Yiyi Shi | Theory of Random Networks and Their Applications | Hong Qian | |
| Melissa Vellela | Mesoscopic dynamics of biochemical kinetic equations | Hong Qian | |
2008 | |
| Brandon Bale | Modeling the stability and dynamics of mode-locked fiber lasers | Nathan Kutz | |
| Miguel Gomez | Optimization-based Analysis of Rigid Mechanical Systems with Unilateral Contact and Kinetic Friction." | Anne Greenbaum | |
| Gunog Seo | The dynamics of simple predator-prey models with Holling functional responses | Mark Kot | |
| Jason Slemons | Toward the solution of the eigenproblem: Nonsymmetric tridiagonal matrices | Loyce Adams | |
2007 | |
| Jihyoun Jeon | Mathematical modeling of pre-malignant lesions in multistage carcinogenesis | Suresh Moolgavkar | |
| Matthew Patterson | Algebro-geometric algorithms for integrable systems | Bernard Deconinck | |
| Santosh Srivastava | Bayesian Minimum Expected Risk Estimation of Distributions for Statistical Learning | Maya Gupta | |
2006 | |
| David George | Finite volume methods and adaptive refinement for tsunami propagation and inundation | Randall LeVeque | |
| Eleftherios Gkioulekas | A theoretical study of the cascades of 3D, 2D, and QG turbulence | Ka Kit Tung | |
| Rafael Meza | Some Extensions and Applications of Multistage Carcinogenesis Models | Suresh Moolgavkar | |
| Damon Toth | Analysis of Age-Structured Chemostat Models | Mark Kot | |
2005 | |
| Edward Farnum | Stability and Dynamics of Solitary Waves in Nonlinear Optical Materials | Nathan Kutz | |
| William Heuett | New Methods for Modeling Large-Scale Biochemical Networks | Hong Qian | |
| Rie Komuro | Multi-Objective Evolutionary Algorithms for Ecological Process Models | E. David Ford | |
| Marica Pelanti | Wave Propagation Algorithms for Multicomponent Compressible Flows with Applications to Volcanic Jets | Randall LeVeque | |
| Matthew Peters | Moist convection and the large scale tropical circulation | Christopher Bretherton | |
| David Williams | Solving singular perturbation problems: An amplitude equation approach | Robert O'Malley | |
2004 | |
| Sarah Hewitt | Dynamics and Stability of Periodic Spatial Patterns in the Optical Parametric Oscillator | Nathan Kutz | |
| Viktoria Hsu | Ion Transport through Biological Cell Membranes: From Electro-Diffusion to Hodgkin-Huxley via a Quasi Steady-State Approach | Hong Qian | |
| Jan Medlock | Integro-differential-Equation Models in Ecology and Epidemiology | Mark Kot | |
| Timothy Reluga | Some results on temporal and spatial heterogeneity in theoretical ecology | Mark Kot | |
2003 | |
| Kathleen Coughlin | Stratospheric and Tropospheric Signals Extracted Using the Empirical Mode Decomposition Method | Ka Kit Tung | |
| Rebecca Crabb | A Dynamic Game for Managing a Conservative Pollutant in an Estuary | Thomas Leschine | |
| Steven Kusiak | The Scattering Support and the Inverse Scattering Problem at Fixed Frequency | John Sylvester | |
2002 | |
| Derek Bale | Wave Propagation Algorithms On Curved Manifolds With Applications to Relativistic Hydrodynamics | Randall LeVeque | |
| Eric Dolven | Seaquake Waves - Standing Wave Dynamics with Faraday Excitation and Radiative Loss | Harry Yeh | |
| Long Lee | Immersed Interface Methods for Incompressible Flow with Moving Interfaces | Randall LeVeque | |
| Blessing Mudavanhu | A New Ronormalization Method for the Asymptotic Solution of Multiple Scale Singular Perturbation Problems | Robert O'Malley | |
| James Rossmanith | A Wave Propagation Method with Constrained Transport for Ideal and Shallow Water Magnetohydrodynamics | Randall LeVeque | |
2001 | |
| Tiernan Fogarty | Finite Volume Methods for Acoustics and Elasto-plasticity with Damage in a Heterogeneous Medium | Randall LeVeque | |
| Karl Knaub | On the Asymptotic Behavior of Internal Layer Solutions of Advection-Diffusion-Reaction Equations | Robert O'Malley | |
| David Luke | Analysis of Optical Wavefront Reconstruction and Deconvolution in Adaptive Optics | James Burke | |
2000 | |
| Arnold Kim | Optical Pulse Propagation, Diffusion and Depolarization in Discrete Random Media | Akira Ishimaru | |
| Mark Martin | The Influence of Seasonal and Climatic Environmental Changes on Plankton in the Marine Mixed Layer | Mark Kot | |
| Benjamin Moskowitz | An Analysis of Frictional Feedback in the Madden-Julian Oscillation | Christopher Bretherton | |
| Dominik Obrist | On the stability of the swept leading-edge boundary layer | Peter Schmid | |
| Darryl Yong | Solving boundary-value problems for systems of hyperbolic conservation laws with rapidly varying coefficients | Jirair Kevorkian | |
1999 | |
| Donna Calhoun | A Cartesian Grid Method for Solving the Streamfunction Vorticity Equations in Irregular Geometries | Randall LeVeque | |
| Kristin Swanson | Mathematical Modeling of the Growth and Control of Tumors | James Murray | |
1998 | |
| Trachette Jackson | Mathematical Models in Two-Step Cancer Chemotherapy | James Murray | |
| Patrick Nelson | Mathematical Models of HIV Pathogenesis and Immunology | James Murray | |
| Eric Stollnitz | Reproducing Color Images with Custom Inks | David Salesin | |
| Christopher Thompson | A Linear, Stochastic, Dynamical Model of El Nino/Southern Oscillation | Ka Kit Tung | |
1997 | |
| David Salinger | A Splitting Algorithm for Multistage Stochastic Programming with Application to Hydropower Scheduling | Terry Rockafellar | |
1996 | |
| Daphne Manoussaki | Modelling formation of vascular networks in vitro | James Murray | |
| Wendell Orlando | Nonlinear Baroclinic Adjustment and Wavenumber Selection as a Mechanism for Atmospheric Heat Transport | Ka Kit Tung | |
| Louis Stern | An Explicitly Conservative Method for Time-Accurate Solution of Hyperbolic Partial Differential Equations on Embedded Chimera Grids | Randall LeVeque | |
| Rebecca Tyson | Pattern formation by E. coli - mathematical and numerical investigation of a biological phenomenon | James Murray | |
| Zhiyun Yang | A Cartesian Grid Method For Elliptic Boundary Value Problems in Irregular Regions | Loyce Adams | |
| Cynthia Young | The two-frequency mutual conherence function of a Gaussian beam pulse in weak turbulence | Akira Ishimaru | |
| Chaoming Zhang | Immersed interface methods for hyperbolic systems of partial differential equations with discontinuous coefficients | Randall LeVeque | |
1995 | |
| Julian Cook | Mathematical Models for Dermal Wound Healing: Wound Contraction and Scar Formation | James Murray | |
| Ming Fang | On the Axisymmetric Circulation of the Atmosphere | Ka Kit Tung | |
| Paul Kulesa | A Model Mechanism for the Initiation and Spatial Patterning of Teeth Primordia in the Alligator | James Murray | |
| Thomas Milac | The Linear Elastostatics of Spherical Shells | Frederic Wan | |
| Hugh Rand | Mesoscale Dynamics of the Marine Atmospheric Boundary Layer | Christopher Bretherton | |
| Lei Wang | Asymptotic Analysis of a Class of Three-Degree-Of-Freedom Hamiltonian Systems Near Stable Equilibria | Jirair Kevorkian | |
| Katrin White | Territoriality and Survival in Wolf-Deer Interactions | James Murray | |
1994 | |
| Margaret Brown | Geophysical inverse methods applied to the deduction of the emissions of atmospheric source gases | Ka Kit Tung | |
| George Chen | Forward-Backward splitting techniques: Theory and Applications | Terry Rockafellar | |
| Chonghua Gu | Shear Center of Plates with Variable Thickness | Frederic Wan | |
| Jacques Laforgue | Using Exponential Asymptotics to Study the Metastability and Supersensitivity of Shock and Transition Layers | Robert O'Malley | |
| Zhilin Li | The Immersed Interface Method - A Numerical Approach for Partial Differential Equations with Interfaces | Randall LeVeque | |
| Kristyn Maschhoff | Methods for Solving Large Symmetric Eigenvalue Problems Associated with Configuration Interaction Electronic Structure Calculations | Loyce Adams | |
| William Mell | An Investigation of Closure Models for Nonpremixed Turbulent Reacting Flow | George Kosaly | |
| Mike Neubert | The Nonlinear Dynamics of Predator-Prey Growth and Dispersal | Mark Kot | |
| David Stevens | An Adaptive Multilevel Method for Boundary Layer Meteorology | Chris Bretherton | |
| Mei Zhu | Mechanisms for Biological Pattern Formation: Nonlinear Effects | James Murray | |
1993 | |
| Charles Mannix | An Investigation of Numerical Methods Applicable to a Certain Class of Singular Integral Equations | Ka Kit Tung | |
| Keh-Ming Shyue | Front Tracking Methods based on Wave Propagation | Randall LeVeque | |
1991 | |
| Yeng Bun | Evolution of Three-Dimensional Disturbances in a Mixing Layer | William Criminale | |
| Kevin Gates | Divide and Conquer Methods for the Symmetric Tridiagonal Eigenvalue Problem | Loyce Adams | |
| Jeffrey Greenough | A Weakly Nonlinear Theory of Confined Supersonic Instability Modes | James Riley | |
| Steven Siems | A Numerical Investigation of Cloud-Top Entrainment Instability and Related Experiements | Chris Bretherton | |
| Ciyou Zhu | Methods for Large-Scale Extended Linear-Quadratic Programming | Terry Rockafellar | |
1990 | |
| Scott Coble | Automatic Control of Extracorporeal Blood Oxygenation | Juris Vagners | |
| Mark Pernarowski | The Mathematical Analysis of Bursting Electrical Activity in Pancreatic Beta Cells | Jirair Kevorkian | |
| Ruoxin Zhang | Problems of Hierarchical Optimization: Nonsmoothness and Analysis of Solutions | Terry Rockafellar | |
1989 | |
| Richard Beyer | A Computational Model of the Cochlea using the Immersed Boundary Method | Randall LeVeque | |
| David Bosley | Transient and Sustained Resonance in Very Slowly Varying Oscillatory Hamiltonian systems with Application to Free-Election Lasers | Jirair Kevorkian | |
| Marie Lelong | Weakly-nonlinear Internal Wave/Vortical Mode Interactions in Stably-Stratified Flows | James Riley | |
| Joseph Manke | A Tensor Product B-spline Method for Numerical Grid Generation | Loyce Adams | |
| Maria Ong | Hierarchical Basis Preconditioners for Second-Order Elliptic Problems in Three Dimensions | Loyce Adams | |
| Radhakrishnan Srinivasan | Asymptotic Solutions of Weakly Nonlinear, Dispersive Wave Propagation Problems by Fourier Analysis | Jirair Kevorkian | |
| Kraig Winters | Intensification and Instability of Internal Gravity Waves at Caustics and Critical Levels | James Riley | |
1988 | |
| Philip Harrison | A New Algorithm for Parsing Generalized Phrase Structure Grammar | Juris Vagners | |
| Angel Muleshkov | Analytical and Numerical Determination of Steady Seepage Towards Vertical Cuts | Chris Bretherton | |
| Jun Yu | Passage Through the Critical Froude Number for Shallow Water Waves over a Variable Bottom | Jirair Kevorkian | |
1987 | |
| Pierre Mourad | A Nonlinear Wave-Wave Interaction Theory for the Generation of Multiscale Large Eddies in a Neutral Atmospheric Boundary Layer | | |
| Donald Owen | A Numerical Streamline Approach to Steady Internal Flows | Carl Pearson | |
1986 | |
| Jeffrey Cordova | Numerical Streamline Methods for Solving Steady Flow Problems (Methods, Compressible, Free Surface, Finite Difference.) | | |
| Jie Sun | On Monotropic Piecewise Quadratic Programming (Network, Algorithm, Convex Programming, Decomposition Method.) | Terry Rockafellar | |