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2023

• Nicholas Barendregt
  Adaptive Decision-Making in Dynamic Environments Using Sequential Bayesian Inference
• Abe Ellison
  Gyroscopic Polynomials

• Shay Gilpin
  A New Perspective on Covariance Propagation for Data Assimilation Applications

• Evan Gorman
  On the Three-dimensional, Quadratic Differomorphism: Anti-integrability, Attractors, and Chaos

• Amanda Hampton
  On the Three-dimensional, Quadratic Differomorphism: Anti-integrability, Attractors, and Chaos
• Yifeng Mao
  Two-phase Wave Interactions and Periodic Wavemaker Problem in Dispersive Hydrodynamics
• Ruyu Tan
  Methods for Change Points Detection and Model Selection in State-Space Models
• Kris Tucker
  Analyzing Properties of Driven-Dissipative Quantum Systems from the Mean Field to Machine Learning

2022

• Subekshya Bidari
  Models of Foraging Decisions in Social Animal Groups

• Richard Clancy
  Mathematical Formulations with Uncertain Data in Optimization and Inverse Problems

• Ellen Ellefsen
  Nonlocal Models with Applications in Ecology

• Daniel Ferguson
  Inference of Multiple Diffusion Coefficients from Single Particle Trajectories
• Mingyu Hu
  Micromagnetic modeling and waves in magnetic materials
• Nicholas Landry
  Contagion on Complex Systems: Structure and Dynamics
• Allen Alvarez Loya
  High-Order Methods for Wave Phenomena
• Daniel Messenger
  Weak-form Sparse Identification of Differential Equations from Noisy Measurements
• Liam Madden
  First-order Methods for Online and Stochastic Optimization, and Approximate Compiling
• Graham Kesler O'Connor
  Source Localization on Infection Networks
• Samuel Ryskamp
  Line Soliton Interactions and Dispersive Magnetoelastic Waves
• Lyndsey Wong
  Mathematical Models of Wealth Distribution Through An Amenities-Based Theory
• Kiera van der Sande
  Contributions to Computational Techniques and Machine Learning for Applied Science

2021

• Sabina Altus
  Analysis of Multi-Structured Population Models
• Lewis Baker
  Inference of Multiple Diffusion Coefficients from Single Particle Trajectories
• Alec Dunton
  Matrix Methods for Low-Rank Compression in Large-Scale Applications
• Fortino Garcia
  Numerical Methods for Wave Phenomena
• David Gunderman
  High-order Spatial Discretization and Numerical Integration Schemes for Curved Geometries
• Erik Johnson
  Measuring image resolution in super-resolution microscopy and Bayesian estimation of population size and overlap and vaccine effectiveness
• Osman Asif Malik
  Topics in Matrix and Tensor Computations
• Nathaniel Mathews
  Computational Modeling for 3D Data Reconstruction of Solar Coronal Magnetic Fields
• Caleb Miller
  Monte Carlo Methods with Space Domain Applications
• Joy Mueller
  Perfectly Simulated and Exact Analytic Solutions for Chemical Reaction Networks and a Level Set Inspired Image Segmentation Algorithm
• Zofia Stanley
  Applications of Mathematics to Climate Modeling: Analysis and Development of Ocean Parameterizations and Multivariate Localization Functions
• Jeremy Thompson
  Local Fourier Analysis of Domain Decomposition and Multigrid Methods for High-Order Matrix-Free Finite Elements
• Lucia Minah Yang
  Numerical Analysis of Mixed Precision Algorithms and Time-steppers for Wave Turbulence, and Generative Modeling for Analogs in Data Assimilation

2020

• Dylan Abrahamsen
  Space-time Evolution with Radial Basis Functions and Hermite-based Finite Difference Methods
• Joshua Aurand
  Optimal Control of Epstein-Zin Utility on Random Time Horizons
• Harry Dudley
  Dynamical System Analysis and Data-Driven Model Selection for Differential-Algebraic Equation Models of Microbial Electrolysis

• Zhishen Huang
  Randomization in Statistical Machine Learning

• Mitchell Krock
  Some Models for Large Spatial Data
• Antony Pearson
  On Hidden Structures in Contaminated Symbolic Data
• Peter Shaffery
  Understanding the Variance Reduction Effect and Bayesian Structural Time Series for Behind-the-Meter Disaggregation
• Wenqi Zhang
  Statistical Approaches to Assess High Frequency Variability of Solar Irradiance
• Jacqui Wentz
  Spatial-temporal Effects of Diffusion in Complex Biochemical Networks
• Ashton Wiens
  Using Gaussian Processes for Registration and Nonstationarity Emulation
• Hao Xu
  Qualitative Analysis of Some Elliptic Differential Equations

2019

• Tracy Babb
  Accelerated Time-Stepping of Parabolic and Hyperbolic PDEs via Fast Direct Solvers for Elliptic Problems
• Anna Broido
  Describing the Tails of Degree Distributions in Real-World Networks
• Jessica Gronski
  Non-Convex Optimization and Applications to Bilinear Programming and Super-Resolution Imaging
• Nathan Heavner
  Building Rank-Revealing Factorizations with Randomization
• Eric Kightley
  Sparsified Gaussian Mixture Models
• Michelle Maiden
  Dispersive Hydrodynamics in Viscous Fluid Conduits

2018

• Joseph Benzaken
  Propogation and Control of Geometric Variation in Engineering Structural Design and Analysis
• Hillary Fairbanks
  Low-Rank, Multi-Fidelity Methods for Uncertainty Quantification of High-Dimensional Systems
• James Folberth
  Fast and Reliable Methods in Numerical Linear Algebra, Signal Processing and Image Processing
• Delyan Kalchev
  Dual Least-Squares Finite Element Methods ofr Hyperbolic Problems
• Zachary Mullen
  Joint Temporal Modeling of Wind Speeds and Directions via the Projected Normal
• John Nardini
  Partial Differential Equation Models of Collective Migration During Wound Healing
• Meredith Plumley
  Investigations of Asymptotic Models for Convection-Driven Flows in Astrophysical and Geophysical Fluids
• Benjamin Southworth
  Seeking Space Aliens and the Strong Approximation Property: A (Disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid
• Jay Stotsky
  Computational and Mathematical Studies of Biomechanics of Biofilms
• Peter Wills
  Studies in the Analysis of Stochastic Processes
• Xinshuo Yang
  Reduction of Multivariate Mixtures and Its Applications

2017

• Jeffery Allen
  What’s Cooler Than Being Cool? Ice Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow
• Alyson Fox
  Algebraic Multigrid (AMG) for Graph Laplacian Linear Systems: Extensions of AMG for Signed, Undirected and Unsigned, Directed Graph
• Inomzhon Mirzaev ​
  Analytical and Numerical Investigation of Long-term Behavior of Microbial Flocculation Equations
• Rebecca Mitchell
  Designing a Finite-Time Mixer: Optimizing Stirring for Two-dimensional Maps
• Wayne Mitchell
  Low-communication, Parallel Multigrid Algorithms of Elliptic Partial Differential Equations
• Ben O'Neill
  Multigrid Reduction in Time for Parabolic Problems
• Ignas Satkauskas
  Numerical Calculus of Probability Density Functions

2016

• Dale Jennings
  Advances in MCMC Methods with Applications to Particle Filtering, DSMC and Bayesian Networks
• Benjamin Sturdevant
  Fully Kinetic Ion Models for Magnetized Plasma Simulations
• Ze Chang
  Qualitative Analysis of Some Nonlinear PDE Systems
• Anthony Wong
  The Impact of Stable Water Isotopic Information on Parameter Calibration in a Land Surface Model
• Ashar Ali
  ULF Waves and Diffusive Radial Transport of Charged Particles
• Lei Bao
  Efficient Time-Integration Schemes for the Discontinuous Galerkin Non-Hydrostatic Atmospheric Models
• David Nieves
  Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows
• Bradley Martin
  Application of RBF-FD to Wave and Heat Transport Problems in Domains with Interfaces

2015

• David J. Appelhans
  Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement
• Michael Brutz
  Mathematical Modelling and Analysis of Several Diffusive Processes
• Sijia Hao
  Numerical Methods for Solving Linear Elliptic PDEs: Direct Solvers and High Order Accurate Discretizations
• Christopher A. Leibs
  First-Order Systems Least-Squares Finite Element Methods and Nested Iteration for Electromagnetic Two-Fluid Kinetic-Based Plasma Models
• Nathan D. Monnig
  From Nonlinear Embedding to Graph Distances: A Spectral Perspective
• Henry P. Romero
  Fundamental Limits of Network Communication with General Message Sets: A Combinatorial Approach

2014

• Yuanting Chen
  Bayesian Semi-parametric Modeling of Time-to-Event Data
• Jose Humberto Garcia
  Beta-Plane Approximation Of wind Driven Ocean Circulation Using A First Order System Least-Squares Formulation
• Dustin Keck
  Aggregation Dynamics: Numerical Approximations, Inverse Problems and Generalized Sensitivity
• Amrik Sen
  A Tale Of Waves And Eddies In A Sea Of Rotating Turbulence
• Sekson Sirisubtawee
  Stability and Bifurcations of a Piecewise-Smooth Elasto-Plastic Inverted Pendulum Model: Towards an Understanding of Dynamics of Buildings under Earthquake-type Forcing

2013

• Douglas Eugene Baldwin
  Dispersive Shock Wave Interactions And Two-Dimensional Oceanwave Soliton Interactions
• Adam Merritt Fox
  Destruction Of Invariant Tori In Volume-Preserving Maps
• Ryan Dean Lewis
  Nonlinear Approximations In Filter Design And Wave Propagation
• Brock Mosovsky
  Finite-Time Transport In Aperiodic Dynamical Systems
• Jonah A. Reeger
  A Computational Study Of The Fourth Painlevé Equation And A Discussion Of Adams Predictor-Corrector Methods
• Per Sebastian Skardal
  Periodic Behavior In Cardiac Tissue: Dynamics Of Spatially Discor­dant Calcium Alternans
• Dane Robert Taylor
  Spectral Theory For The Robustness And Dynamical Properties Of Complex Networks
• John Villavert
  The Analysis Of Some Nonlinear Partial Differential Equations

2012

Zachary Alexander
A Topology-based Approach for Nonlinear Time Series with Applications in Computer Performance Analysis

David Biagioni
Numerical Construction of Green's Functions in High-dimensional Elliptic Problems with Variable Coefficients and Analysis of Renewable Energy Data via Sparse and Separable Approximations

Nathan Halko
Randomized Methods for Computing Low-rank Approximations of Matrices

Jason Hammond
Analysis and Simulation of Partial Differential Equations in Mathematical Biology: Applications to Bacterial Biofilms and Fisher's Equation

Jerrad Hampton
Dissimilarity and Optimal Sampling in Urn Ensembles

Daniel Kaslovsky
Geometric Sparsity in High Dimension

Daniel Larremore
Critical Dynamics in Complex Excitable Networks

Douglas Lipinski
Efficient Ridge Tracking Algorithms for Computing Lagrangian Coherent Structures in Fluid Dynamics Applications

Kuo Liu
Hybrid First-Order System Least-Squares Finite Element Methods with the Application to Stokes and Navier-Stokes Equations

Matthew Reynolds
Nonlinear Approximations in Tomography, Quadrature Construction, and Multivariate Reductions

Yuqi Wu
Parallel Scalable Domain Decomposition Method for Simulating Blood Flows in Three-dimensional Compliant Arteries

2011

Erin Byrne
The Post-fragmentation Probability for Bacterial Aggregates

Adrianna Gillman
Fast Direct Solvers for Elliptic Partial Differential Equations

Ian Grooms
Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow

Sean Nixon
Development and Applications of Soliton Perturbation Theory

Kristine Snyder
Tuning and Control in Human Locomotion

Kye Taylor
Modeling and Analysis of the Low-dimensional Geometry of Signal and Image Patch-sets

2010

Jinyu Li
An Improved Short-DNA Elasticity Theory and a Model of the Dynamics of Biological Signaling Networks

Min Ho Park
Relaxation-corrected Bootstrap Algebraic Multigrid (rBAMG)

Lei Tang
Parallel Efficiency-based Adaptive Local Refinement

Patrick Young
Numerical Techniques for the Solution of Partial Differential and Integral Equations on Irregular Domains with Applications to Problems in Electrowetting

2009

James Adler
Nested Iteration and First Order Systems Least Squares on Incompressible Resistive Magnetohydrodynamics

Andrew Barker
Parallel Monolithic Fluid-structure Interaction Algorithms with Application to Blood Flow Simulation

Benjamin Jamroz
Reduced Modeling of the Magnetorotational Instability

Christian Ketelsen
Least-squares Finite Element Methods for Quantum Electrodynamics

Michael Levy
A High-order Element-based Galerkin Method for the Global Shallow Water Equations

Si Liu
Parallel Fully Coupled Domain Decomposition Algorithm for Some Inverse Problems

Gregory Norgard
Shock regularization of conservation laws through use of spatial averaging in nonlinear terms

2008

Nathan Aragon
Flip Estimators, Cross-Entropy, and Half-Stationary Bounding Processes for Monte Carlo Simulations

Seth Claudepierre
Solar Wind Driving of Magnetospheric Ultra-Low Frequency Pulsations

Terry Haut
Nonlocal Formulations of Ideal Fluids and Applications

Christopher Kurcz
Fast Convolutions with Helmoholtz Green's Functions and Radially Symmetric Band-Limited Kernels

Joshua Nolting
Efficiency-Based Local Adaptive Refinement for FOSLS Finite Elements

Cecile Piret
Analytical and Numerical Advances in Radial Basis Functions

Geoffrey Sanders
Extensions to Adaptive Smooth Aggregation (alphaSA) Multigrid: Eigensolver Initialization and nonsymmetric Problems

Michael Watson 
A Study of Rotationally Constrained Convection in Tall Aspect Ratio Annular Geometries

2007

Chao Jin
Parallel Domain Decomposition Methods for Stochastic Partial Differential Equations and Analysis of Nonlinear Integral Equations

Jisun Lim
The Qualitative Study of a Chemical Reaction Diffusion System and Some Integral Equations

Wenjin Mao
Demension Jumping and Auxiliary Variable Techniques for Markov Chain Monte Carlo Algorithms

Jonathan Pietarila-Graham
Regularizations as Subgrid Models for Turbulent Flows

Thaned Rojsiraphisal
A Study of the Variablility in the North Indian Ocean

Brendan Sheehan
Multigrid Methods for Isotropic Neutron Transport

Jian Wang
Recovering Bayesian Networks with Applications to Gene Regulatory Networks

Julia Zuev
Recent Advances in Numerical Partial Differential Equations

2006

• Cory Ahrens
  The Asymptotic Analysis of Communications and Wave Collapse Problems in Nonlinear Optics
• Hong Liu
  Rare Events, Heavy Tails, and Simulation
• Mark Hoefer
  Dispersive Shock Waves in Bose-Einstein Condensates and Nonlinear Nano-oscillators in Ferromagnetic Thin Films

2005

Marcio Carvalho
Applying Perfect Simulation to solve Stochastic Difference Equations that arise from certain Time Series Models

Paki Suwannajan
Evaluating the Performance of Latent Semantic Indexing

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

2004

Neil Martinsen-Burrell
Merger and Alignment of Three-dimensional Quasigeostrophic Vortices

Feng-Nan Hwang
Some Parallel Linear and Nonlinear Schwarz Methods with Applications in Computational Fluid Dynamics

Eunjung Lee
FOSLL* for Eddy Current Problems with Three-dimensional Edge Singularities

Scott MacLachlan
Improving Robustness in Multiscale Methods

Richard McNamara
Applications of Spanning Trees to Continuous-Time Markov Processes, with Emphasis on Loss Systems

Paul Mullowney
Lagrangian Particle Transport/Mixing in Blinking-Roll Systems

Mark Petersen
A Study of Geophysical and Astrophysical Turbulence using Reduced Equations

Oliver Roehrle
Multilevel First-Order System Least Squares for Quasilinear Elliptic Partial Differential Equations

Matthew Tearle
Optimal Perturbation Analysis of Stratified Shear Flows

Eric Thaler
An evaluation of the operational use of numerical solutions to the quasigeostrophic diagnostic equations by weather forecasters

Chad Westphal
First-Order System Least Squares for Geometrically-Nonlinear Elasticity in Nonsmooth Domains

2003

Allison Baker
Improving the performance of the linear solver restarted GMRES

Adriana Gómez-Hoyos (Dept. of Mathematics)
Conservative Maps: Reversibility, Invariants and Approximation

Luke Olson
Multilevel Least-Squares Finite Element Methods for Hyperbolic Partial Differential Equations

Cristina Perez
Simulating the Interaction Between Intraseasonal and Interannual Variability in the Tropical Pacific with a Coupled System of Nonlinear Ordinary Differential Equations

Kristian Sandberg
Forward and inverse wave propagation using bandlimited functions and a fast reconstruction algorithm for electron microscopy

Ulrike Schneider
Advances and Applications in Perfect Sampling

Grady Wright
Radical Basis function Interpolation: Numerical and Analytical Developments

2002

• Eric S. Wright
  Modeling and Analysis of Aqueous Chemical Reactions in a Diffusive Environment

2001

Travis Austin
Advances on a Scaled Least-Squares Method for the 3-D Linear Boltzman Equation

Brian Bloechle
On the Taylor Dispersion of Reactive Solutes in a Parallel-Plate Fracture-Matrix System

John Carter
Stability and Existence of Traveling Wave Solutions of the Two-Dimensional Nonlinear Schrödinger Equation and its Higher-Order Generalizations

Tim Chartier
Element-Based Algebraic Multigrid (AMGe) and Spectral AMGe

Andrea Codd
Elasticity-Fluid Coupled Systems and Elliptic Grid Generation (EGG) based on First-Order System Least Squares (FOSLS)

Rudy Horne
Collision induced timing jitter and four-wave mixing in wavelength division multiplexing soliton systems

Hugh MacMillan
First-Order System Least Squares and Electrical Impedance Tomography

Bobby Phillip
Asynchronous Fast Adaptive Composite Grid Methods for Elliptic Problems on Adaptively-Refined Curvilinear Grids

2000

• Vlatcheslave Akmaev
  Phylogenic Approach to Molecular Structure Prediction
• Michelle Ghrist
  High-order finite difference methods for wave equations
• Ken Jarman
  Stochastic immiscible flow with moment equations
• Vanessa Robins
  Computational Topology at Multiple Resolutions
• David Trubatch
  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

1999

• Markus Berndt
  Adaptive refinement and the Treatment of Discontinuous Coefficients for Multilevel First-Order System Least Square (FOSLS)
• David Sterling
  Anti-integrable continuation and the destruction of chaos

1998

• Lora Billings
  Dynamical Systems Methods Applied to Polynomial Factorization Families: a Study of Chaotic Attractors
• Bernard Deconinck
  The initial-value problem for multiphase solutions of the Kadomtsev-Petviahvili equation
• Laurie Heyer
  The probabilistic behavior of sequence analysis scores with application to structural alignment of RNA
• Peter Staab
  Three-dimensional acoustic-rotational flows in solid-fuel rocket motors

1997

• Nicholas Coult
  A Multiresolution Strategy for Homogenization of Partial Differential Equations

1996

• Robert Cramer
  A Multiresolution Approach to Fast Summation and Regularization of Singular Operators
• Barry Lee
  First-Order Systems least Squares for Electromagnetics
• Alejandro Spina
  Confined States in Large Aspect Ratio Thermohaline Convection

1995

• Erik Bollt
  Controlling Chaos, Targeting and Transport
• James Keiser
  I. Wavelet Based approach to Numerical Solution of Nonlinear Partial Differential Equations, and II. Nonlinear Waves I Fully Discrete Dynamical Systems
• David Sholl
  Lattice Gas Models of Surface Chemistry

1994

• Scott Herod
  Computer Assisted Determination of Lie Point Symmetries with Application to Fluid Dynamics
• Arthur Mizzi|
  Spectral Representation of the Vertical Coordinate in Three-Dimensional Atmospherical Models on Tropical B- and f- Planes
• Linda Sundbye
  Global Existence of Solutions for the Shallow water Equations

1991

• James Brannick
  Compatible Relaxation and Optimal Interpolation
• Martha Nesbitt Limber
  The Dynamics of Shooting Methods for Solving Sturm-Liouville Problems