#### Theses/Dissertations from 2017

Analytical and Numerical Investigation of Long-Term Behavior of Microbial Flocculation Equations, Inom Mirzaev

Low-Communication, Parallel Multigrid Algorithms for Elliptic Partial Differential Equations, Wayne Mitchell

#### Theses/Dissertations from 2016

ULF Waves and Diffusive Radial Transport of Charged Particles, Ashar Fawad Ali

Efficient Time-Integration Schemes for Discontinuous Galerkin Non-Hydrostatic Atmospheric Models, Lei Bao

Qualitative Analysis of Some Nonlinear PDE systems, Zu Cheng

Advances in MCMC Methods with Applications to Particle Filtering, DSMC, and Bayesian Networks, Dale Kurtis Jennings

Application of Rbf-Fd to Wave and Heat Transport Problems in Domains with Interfaces, Bradley Pifer Martin

Investigations of Reduced Equations for Rotating, Stratified and Non-hydrostatic Flows, David Joseph Nieves

Stochastic Weather Generation with Approximate Bayesian Computation, Branden Olson

Fully Kinetic Ion Models for Magnetized Plasma Simulations, Benjamin Sturdevant

The Impact of Stable Water Isotopic Information on Parameter Calibration in a Land Surface Model, Tony E. Wong

#### Theses/Dissertations from 2015

A Robust RBF-FD Formulation based on Polyharmonic Splines and Polynomials, Gregory Allen Barnett

Matrix Patch Reordering as a Strategy for Compression, Factorization, and Pattern Detection using Nonnegative Matrix Factorization Applied to Single Images, Richard Martin Charles

Probabilistic and Statistical Methods for Target Tracking, Raymond Dao

Spatially Random Processes in One-Dimensional Maps: The Logistic Map and The Arnold Circle Map, An T. Le

Spatially Random Processes in One-Dimensional Maps: the Logistic Map and the Arnold Circle Map, An Tuong Le

Toward a General Solution of the Three-Wave Resonant Interaction Equations, Ruth Ann Martin

Rays, Waves, and Separatrices, Cristian Rafael Mendoza

From Nonlinear Embedding to Graph Distances: A Spectral Perspective, Nathan D. Monnig

#### Theses/Dissertations from 2014

The Weighted Stochastic Block Model, Christopher Vinyu Aicher

Trading Computation for Communication: A Low Communication Algorithm for the Parallel Solution of PDEs Using Range Decomposition, Nested Iteration, and Adaptive Mesh Refinement, David John Appelhans

Mathematical Modelling and Analysis of Several Diffusive Processes, Michael Joseph Brutz

Asymptotic Series Solutions to One-Dimensional Helmholtz Equation, Yan Chen

Bayesian Semi-Parametric Modeling of Time-to-Event Data, Yuanting Chen

Beta-Plane Approximation of Wind Driven Ocean Circulation using a First Order System Least-Squares Formulation., Jose Humberto Garcia

Aggregation Dynamics: Numerical Approximations, Inverse Problems, and Generalized Sensitivity, Dustin D. Keck

Personalized Control of Diabetes Using a Two-Delay Model, Stephen Michael Kissler

First-Order Systems Least-Squares Finite Element Methods and Nested Iteration for Electromagnetic Two-Fluid Kinetic-Based Plasma Models, Christopher A. Leibs

Fundamental Limits of Network Communication with General Message Sets: A Combinatorial Approach, Henry Paul Romero

The Effectiveness of Calculus Workgroup on Student Performance in Calculus: A Mixed-Methods Approach, Brita B. Schneiders

A Tale of Waves and Eddies in a Sea of Rotating Turbulence, Amrik Sen

Stability and Bifurcations of a Piecewise-Smooth Elasto-Plastic Inverted Pendulum Model : Towards an Understanding of Dynamics of Buildings under Earthquake-Type Forcing, Sekson Sirisubtawee

#### Theses/Dissertations from 2013

Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions, Douglas Eugene Baldwin

Rogue Waves in Optics and Water, Tommaso Buvoli

Destruction of Invariant Tori in Volume-Preserving Maps, Adam Merritt Fox

On the adaptive use of information in habitat selection, Theodore Emil Galanthay

Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs, Tobias M. Jones

Efficient Particle Tracking Algorithms for Solute Transport in Fracture Rock with Absorption and Matrix Diffusion, Dylan Lowell Klein

Nonlinear Approximations in Filter Design and Wave Propagation, Ryan D. Lewis

Finite-Time Transport in Aperiodic Dynamical Systems, Brock Alan Mosovsky

Influence of Food Web Structure on Predator-Prey Dynamics in a Patchy Environment, Jerome Philippe Perkins

Modeling Solar Wind Mass-Loading Due to Dust in the Solar Corona, Anthony P. Rasca

A Computational Study of the Fourth Painleve Equation and a Discussion of Adams Predictor-Corrector Methods, Jonah A. Reeger

A pseudospectral implementation of Hamiltonian surface wave equations for coastal wave simulation, Andrew Johnathan Schauf

Periodic Behavior in Cardiac Tissue: Dynamics of Spatially Discordant Calcium Alternans, Per Sebastian Skardal

Spectral Theory for the Robustness and Dynamical Properties of Complex Networks, Dane R. Taylor

An Efficient Search Strategy for Aggregation and Discretization of Attributes of Bayesian Networks Using Minimum Description Length, Dai Daniel Tran

The Analysis of Some Nonlinear Partial Differential Equations, John Villavert

Stokes Drift and Meshless Wave Modeling, Adrean Andrew Webb

Hydrodynamics of Unitary Fermi Gases, Ryan E. Young

#### Theses/Dissertations from 2012

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

Sparse Encoding of Observations from a Smooth Manifold via Locally Linear Approximations, Nicholas Bertrand

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, David Joseph Biagioni

Statistical Properties of Avalanches on Complex Networks, Marshall Carpenter

Randomized Methods for Computing Low-Rank Approximations of Matrices, Nathan P. Halko

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

Dissimilarity and Optimal Sampling in Urn Ensembles, Jerrad Davis Hampton

Critical Dynamics in Complex Excitable Networks, Daniel Benjamin Larremore

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

Nonlinear approximations in tomography, quadrature construction, and multivariate reductions, Matthew Jason Reynolds

#### Theses/Dissertations from 2011

The Post-Fragmentation Probability Density for Bacterial Aggregates, Erin Byrne

Near Optimal Rational Approximations of Large Data Sets, Anil Damle

Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps, Christopher-Ian Raphael Davis

Prediction in Projection: Computer Performance Forecasting, a Dynamical Systems Approach, Joshua T. Garland

Fast Direct Solvers for Elliptic Partial Differential Equations, Adrianna Gillman

Improving Robustness of Smoothed Aggregation Multigrid for Problems with Anisotropies, Andrew Glugla

Asymptotic and Numerical Methods for Rapidly Rotating Buoyant Flow, Ian Grooms

Using Minimum Description Length for Discretization Classification of Data Modeled by Bayesian Networks, Nicholas D. Levine

Development and Applications of Soliton Perturbation Theory, Sean David Nixon

A Stable Numerical Algorithm for Near-Flat Radial Basis Functions, Collin Eugene Powell

Tuning and Control of Human Locomotion, Kristine Lynne Snyder

The Geometry of Signal and Image Patch-Sets, Kye Malcolm Taylor

#### Theses/Dissertations from 2010

A Cross Section of Oscillator Dynamics, Jason A. DeSalvo

A Review of Mathematical Techniques in Machine Learning, Owen Ardron Lewis

Relaxation-Corrected Bootstrap Algebraic Multigrid (rBAMG), Minho Park

Parallel Efficiency-based Adaptive Local Refinement, Lei Tang

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