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Theses/Dissertations from 2017

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What's Cooler Than Being Cool? Ice-Sheet Models Using a Fluidity-Based FOSLS Approach to Nonlinear-Stokes Flow., Jeffery M. Allen

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Implicit Fuzzy Choice Set Generation for Spatial Interactions Using Zero-Augmented Models, Amy DeCastro

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Optimization for High-Dimensional Data Analysis, Derek T. Driggs

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Algebraic Multigrid(amg) for Graph Laplacian Linear Systems: Extensions of Amg for Signed, Undirected and Unsigned, Directed Graphs, Alyson Lindsey Fox

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Dimensionality Detection and the Geometric Median on Data Manifolds, Lukas Ruediger Nelson Goetz-Weiss

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Twitter and Movies: Can Important Users Influence the Industry?, Jacob Mink

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

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Designing a Finite-Time Mixer: Optimizing Stirring for Two-Dimensional Maps, Rebecca Amelia Mitchell

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

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

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Multigrid Reduction in Time for Nonlinear Parabolic Problems, Ben O'Neill

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Unentangling Quantum Algorithms for Mathematicians and Engineers, Jaden K. Pieper

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Numerical Calculus of Probability Density Functions, Ignas V. Satkauskas

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Analysis and Numerical Performance of Methods of Solving the Time Independent Schr¨odinger Equation for Simulation in Strong-Field Physics, Erez Shani

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Domain Adaptation for Factoid Question Answering, Davis Yoshida

Theses/Dissertations from 2016

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

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

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Qualitative Analysis of Some Nonlinear PDE systems, Zu Cheng

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

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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

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Stochastic Weather Generation with Approximate Bayesian Computation, Branden Olson

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Fully Kinetic Ion Models for Magnetized Plasma Simulations, Benjamin Sturdevant

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

Theses/Dissertations from 2015

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

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

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Probabilistic and Statistical Methods for Target Tracking, Raymond Dao

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Numerical Methods for Solving Linear Elliptic PDEs: Direct Solvers and High Order Accurate Discretizations, Sijia Hao

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

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

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

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Rays, Waves, and Separatrices, Cristian Rafael Mendoza

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

Theses/Dissertations from 2014

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The Weighted Stochastic Block Model, Christopher Vinyu Aicher

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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

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

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

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

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

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

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

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

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

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

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

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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

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Numerical Experiments of Dynamical Processes During the 2011-2013 Surge of the Bering-Bagley Glacier System, Using a Full-Stokes Finite Element Model, Thomas Trantow

Theses/Dissertations from 2013

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

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Rogue Waves in Optics and Water, Tommaso Buvoli

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

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

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

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

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

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

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

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

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

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

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

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

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

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The Analysis of Some Nonlinear Partial Differential Equations, John Villavert

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Stokes Drift and Meshless Wave Modeling, Adrean Andrew Webb

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Hydrodynamics of Unitary Fermi Gases, Ryan E. Young

Theses/Dissertations from 2012

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

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

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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

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Statistical Properties of Avalanches on Complex Networks, Marshall Carpenter

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

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

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Dissimilarity and Optimal Sampling in Urn Ensembles, Jerrad Davis Hampton

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Critical Dynamics in Complex Excitable Networks, Daniel Benjamin Larremore

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

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Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations, Kuo Liu

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

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Parallel Domain Decomposition Methods For Simulating Blood Flows In Three-Dimensional Compliant Arteries, Yuqi Wu

Theses/Dissertations from 2011

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

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Near Optimal Rational Approximations of Large Data Sets, Anil Damle

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

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

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Fast Direct Solvers for Elliptic Partial Differential Equations, Adrianna Gillman

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

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

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

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Development and Applications of Soliton Perturbation Theory, Sean David Nixon

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

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Tuning and Control of Human Locomotion, Kristine Lynne Snyder

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

Theses/Dissertations from 2010

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A Cross Section of Oscillator Dynamics, Jason A. DeSalvo

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

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

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Parallel Efficiency-based Adaptive Local Refinement, Lei Tang

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