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Theses/Dissertations from 2020

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Regularity theory for nonlocal space-time master equations, Animesh Biswas

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Domination problems in directed graphs and inducibility of nets, Adam Blumenthal

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Statistical analysis of queueing problems using real data, Dong Dai

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Applications of harmonic analysis to topics in data science, Steven Nathan Harding

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Asymptotic solutions for high frequency Helmholtz equations, Matthew Aaron Jacobs

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A study of Galois and flag orders, Erich Christian Jauch

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Statistical models to predict exposure settings using two different iPhone camera apps, Kurt Michael Kabriel

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Crystal structure on Gelfand-Tsetlin-Zhelobenko patterns, O'Neill Kingston

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Hunting wild stego images, a domain adaptation problem in digital image forensics, Li Lin

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Conditions for the existence of quantum error correction codes, Daniel Mark Lucas

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Positive and energy stable schemes for Poisson-Nernst-Planck equations and related models, Wumaier Maimaitiyiming

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Variations on the power domination problem: Hypergraphs and robustness, Beth Ann Bjorkman Morrison

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Linear aspects of equational triality in quasigroups, Alex William Nowak

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Statistical methods for digital image forensics: Algorithm mismatch for blind spatial steganalysis and score-based likelihood ratios for camera device identification, Stephanie Reinders

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A Lax-Wendroff discontinuous Galerkin scheme for linear hyperbolic systems, Samuel Quincy Van Fleet

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Analysis of nonlocal equations: One-sided weighted fractional Sobolev spaces and Harnack inequality for fractional nondivergence form elliptic equations, Mary Colleen Vaughan

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A treatise on pansophy, Isaac Clarence Wass

Theses/Dissertations from 2019

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A dualized Kaczmarz algorithm in Hilbert and Banach space, Anna Aboud

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Selecting pairs of non-transitive dice, Baoyue Bi

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Computable structure theory on Banach spaces, Tyler Anthony Brown

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A method for characterizing graphs with specified throttling numbers, Joshua Carlson

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A polychromatic approach to a Turán-type problem in finite groups, Emelie Jeanine Curl

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Using machine learning to improve dense and sparse matrix multiplication kernels, Brandon Groth

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An implicit-explicit discontinuous Galerkin scheme using a newton-free Picard iteration for a thin-film model, Caleb Logemann

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An exploration of anti-van der Waerden numbers, Alex Schulte

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Symmetry reduction in K − P problems, Benjamin Sheller

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Hybrid discrete (H TN) approximations to the equation of radiative transfer, Minwoo Shin

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A locally-implicit Lax-Wendroff discontinuous Galerkin scheme with limiters that guarantees moment-realizability for quadrature-based moment closures, Christine Wiersma

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Efficient discontinuous Galerkin (DG) methods for time-dependent fourth order problems, Peimeng Yin

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Techniques for determining equality of the maximum nullity and the zero forcing number of a graph, Derek Dwight Young

Theses/Dissertations from 2018

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A continuum approach to modeling the vibrations within a block subjected to free rocking, Julia Raye Anderson-Lee

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Connections to zero forcing: Tree covers and power domination, Chassidy Bozeman

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An application of fuzzy logic to prospect theory, Jorge Omar Chavez Salas

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On exponential domination of graphs, Michael Dairyko

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Invariant-region-preserving discontinuous Galerkin methods for systems of hyperbolic conservation laws, Yi Jiang

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Coloring problems in graph theory, Kacy Messerschmidt

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An asymptotic-preserving spectral method based on the radon transform for the PN approximation of radiative transfer, Lindsey M. Peterson

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Direct and inverse problems for a Schrödinger-Steklov eigenproblem on different domains and spectral geometry for the first normalized Steklov eigenvalue on domains with one hole, Leoncio Rodriguez-Quinones

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Problems in extremal graphs and poset theory, Shanise Walker

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Estimation of the risk-neutral density function from option prices, Sen Zhou

Theses/Dissertations from 2017

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Large Deviation Results for Random Walks in a Sparse Random Environment, Kubilay Dagtoros

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Reflection group diagrams for a sequence of Gaussian Lorentzian lattices, Jeremiah Joel Goertz

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Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system, Pierson Guthrey

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Constructions for cospectral graphs for the normalized Laplacian matrix and distance matrix, Kristin Elizabeth Heysse

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Fourier bases on the skewed Sierpinski gasket, Calvin Francis Hotchkiss

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Topics in queueing theory, Keguo Huang

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The modified Crank-Nicolson scheme for the Allen-Cahn equation and mean curvature flow, and the numerical solutions for the stochastic Allen-Cahn equation, Junzhao Hu

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A high-order discontinuous Galerkin finite element method for a quadrature-based moment-closure model, Erica Johnson

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Association schemes and designs in symplectic vector spaces over finite fields, Robert Lazar

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Congruence n-permutable varieties, Jiali Li

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Variants of zero forcing and their applications to the minimum rank problem, Chin-Hung Lin

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Principal rank characteristic sequences, Xavier Martinez-Rivera

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Coloring problems in graph theory, Kevin Moss

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Positivity-preserving finite volume methods for compressible Navier-Stokes equations, Heather Muchowski

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Magnetohydrodynamic flow in closed channels, Monalisa Munsi

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Topics in self-interacting random walks, Steven Ronald Noren

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On minimal support solutions of underdetermined systems of linear equations, Darrin Thomas Rasberry

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Trading cookies with a random walk, Yiyi Sun

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Spider walk in a random environment, Tetiana Takhistova

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On free quasigroups and quasigroup representations, Stefanie Grace Wang

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Rainbow paths and trees in properly-colored graphs, Isaac Clarence Wass

Theses/Dissertations from 2016

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The edit distance function: Forbidding induced powers of cycles and other questions, Zhanar Berikkyzy

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The dynamical system of iterated Cevian Tribbles, Emily Ann Carroll

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On the Doi-Onsager Model of Rigid Rod-Like Polymers, Tyler Chenhall

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Fourier series for singular measures and the Kaczmarz algorithm, John Edward Herr

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Random and deterministic versions of extremal poset problems, Kirsten Ann Hogenson

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Analysis of a second order discontinuous Galerkin finite element method for the Allen-Cahn equation, Junzhao Hu

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A Hopf-Cole transformation based asymptotic method for kinetic equations with a BGK collision operator in the large scale hyperbolic limit, Nicholas Anthony Payne

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Isomorphism of uniform algebras on the 2-torus, Preechaya Sanyatit

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An implementation of the relativistic hydrodynamic equations in conservative form using Dogpack, Milo Thomas Taylor

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Limit theorems for persistent random walks in cookie environments, Zachary David Voller

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On quantum computation capabilities in an information assurance context, Garrett Ridge Yord

Theses/Dissertations from 2015

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Graph determined symbolic dynamics and hybrid systems, Kimberly Danielle Ayers

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Ordered and partially-ordered variants of Ramsey's theorem, Christopher Orlan Cox

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Positivity in function algebras, Jason Ekstrand

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Skew propagation time, Nicole F. Kingsley

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Asymptotic preserving space-time discontinuous Galerkin methods for a class of relaxation systems, Anna Lischke

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Correctness results for on-line robust principal components analysis, Brian Thomas Lois

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Modeling and controllability of a heat equation with a point mass, José de Jesús Martínez

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The upper triangular algebra loop of degree 4, Michael Mbindyo Munywoki

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Partial geometric designs and difference families, Kathleen Elizabeth Nowak

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A fractional approach to minimum rank and zero forcing, Kevin Francis Palmowski

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On 8p-dimensional Hopf algebras with the Chevalley property, Jolie Dianna Roat

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Estimating the number of covering relations in a formal concept lattice, Aaron Michael Rodriguez

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Mathematical and statistical models in evolutionary game theory, Min Wang

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Asset pricing based on stochastic delay differential equations, Yun Zheng

Theses/Dissertations from 2014

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Second order characteristic based schemes for chemotaxis system, Saleh Albashrawi

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Sign patterns that require eventual exponential nonnegativity, Craig Jeremy Erickson

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On the spectrum of discontinuous Galerkin methods for linear convection-diffusion equations, Diana Hay

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The Frobenius-Schur indicator of Tambara-Yamagami categories, Ryan T. Johnson

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On diamond-free subposets of the Boolean lattice: An application of flag algebras, Lucas Kramer

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Threshold dynamics in hyperbolic partial differential equations, Yongki Lee

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On the nonlinear regime of electrically induced viscous jets with finite conductivity, Saulo Issachar Orizaga

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Numerical superposition of Gaussian beams over propagating domain for high frequency waves and high-order invariant-preserving methods for dispersive waves, Nattapol Ploymaklam

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Positive semidefinite propagation time, Nathan Warnberg

Theses/Dissertations from 2013

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Non-local interactions in spatial evolutionary games, Ozgur Hakan Aydogmus

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On Modified l_1-Minimization Problems in Compressed Sensing, Man Bahadur Basnet

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Commutative, idempotent groupoids and the constraint satisfaction problem, David Michael Failing

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Computation and analysis of evolutionary game dynamics, Yiping Hao

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Statistical summary of protein structures, Yuanyuan Huang