#### Submissions from 2017

Scalable Parallel Self-Assembly of Nanoparticle Anti-Reflection Coatings, Khalid Askar, Jiamin Wang, Sin-Yen Leo, and Christopher Kim

Shift-Symmetric Configurations in Two-Dimensional Cellular Automata: Irreversibility, Insolvability, and Enumeration, Peter Banda, John S. Caughman IV, Martin Cenek, and Christof Teuscher

Some Remarks on Interpolation and Best Approximation, Randolph E. Bank and Jeffrey S. Ovall

Spanning Tree Decompositions of Complete Graphs Orthogonal to Rotational 1-Factorizations (Article), John Caughman, John Krussel, and James Mahoney

A Finite Difference Method for Off-fault Plasticity throughout the Earthquake Cycle, Brittany A. Erickson, Eric M. Dunham, and Arash Khosravifar

Reorganizing Algebraic Thinking: An Introduction to Dynamic System Modeling, Diana Fisher

A Weighted Möbius Function, Derek Garton

Bayesian Group Testing Under Sum Observations: A Parallelizable Two-Approximation for Entropy Loss, Weidong Han, Purnima Rajan, Peter I. Frazier, and Bruno Jedynak

Structural Cerebellar Correlates of Cognitive and Motor Dysfunctions in Cerebellar Degeneration, Kalyani Kansal, Zhen Yang, Ann M. Fishman, Harris I. Sair, Sarah H. Ying, Bruno Jedynak, Jerry L. Prince, and Chiadi U. Onyike

Minimizing Differences of Convex Functions with Applications to Facility Location and Clustering, Nguyen Mau Nam, R. Blake Rector, and Daniel Giles

Extremality of Convex Sets with Some Applications, Boris S. Mordukhovich and Mau Nam Nguyen

Subgradients of Minimal Time Functions without Calmness, Nguyen Mau Nam and Dang Van Cuong

Nesterov's Smoothing Technique and Minimizing Differences of Convex Functions for Hierarchical Clustering, Mau Nam Nguyen, Wondi Geremew, Sam Raynolds, and Tuyen Tran

Convergence Analysis of a Proximal Point Algorithm for Minimizing Differences of Functions, Thai An Nguyen and Mau Nam Nguyen

Fast On-Line Kernel Density Estimation for Active Object Localization, Anthony D. Rhodes, Max H. Quinn, and Melanie Mitchell

Bayesian Optimization for Refining Object Proposals, Anthony D. Rhodes, Jordan Witte, Melanie Mitchell, and Bruno Jedynak

#### Submissions from 2016

A Toolbox to Visually Explore Cerebellar Shape Changes in Cerebellar Disease and Dysfunction, S. Mazdak Abulnaga, Zhen Yang, Aaron Carass, Kalyani Kansal, Bruno Jedynak, Chiadi U. Onyike, Sarah H. Ying, and Jerry L. Prince

The Log-Exponential Smoothing Technique and Nesterov’s Accelerated Gradient Method for Generalized Sylvester Problems, N. T. An, Daniel J. Giles, Nguyen Mau Nam, and R. Blake Rector

Voxel Based Morphometry in Optical Coherence Tomography: Validation & Core Findings, Bhavna J. Antony, Min Chen, Aaron Carass, Bruno M. Jedynak, Omar Al-Louzi, Sharon D. Solomon, Shiv Saidha, Peter Calabresi, and Jerry L. Prince

A Scalable Preconditioner for a Primal DPG Method, Andrew T. Barker, Veselin A. Dobrev, Jay Gopalakrishnan, and Tzanio Kolev

Temporal Order of Alzheimer's Disease-Related Cognitive Marker Changes in BLSA and WRAP Longitudinal Studies, Murat Bilgel, Rebecca L. Koscik, Yang An, Jerry L. Prince, Susan M. Resnick, Sterling C. Johnson, and Bruno Jedynak

A Multivariate Nonlinear Mixed Effects Model for Longitudinal Image Analysis: Application to Amyloid Imaging, Murat Bilgel, Jerry L. Prince, Dean F. Wong, Susan M. Resnick, and Bruno M. Jedynak

Transients in the Synchronization of Asymmetrically Coupled Oscillator Arrays, Carlos E. Cantos, David K. Hammond, and J. J. P. Veerman

Signal Velocity in Oscillator Arrays, Carlos E. Cantos, J.J. P. Veerman, and David K. Hammond

Breaking Spaces and Forms for the DPG Method and Applications Including Maxwell Equations, Carsten Carstensen, Leszek Demkowicz, and Jay Gopalakrishnan

Innovation-Weight Parametrization in Data Assimilation: Formulation & Analysis with NAVDAS-AR/NAVGEM, Dacian N. Daescu and Rolf H. Langland

Towards a Complete Characterization of Vulnerability of Networked Synchronization Processes, Rahul Dhal, Gerardo Lafferriere, and John Caughman

Computational Methods for Asynchronous Basins, Ian H. Dinwoodie

Some Finite Abelian Group Theory and Some q-Series Identities, Derek Garton

Robust Error Estimates for Approximations of Non-Self-Adjoint Eigenvalue Problems, Stefano Giani, Luka Grubišić, Agnieszka Międlar, and Jeffrey S. Ovall

Mapped Tent Pitching Schemes for Hyperbolic Systems, Jay Gopalakrishnan, Joachim Schöberl, and C. Wintersteiger

Dopamine Transporter, Depression and Anxiety Differences Between Tremor-Predominant and Non-Tremulous PD are Already Evident Within 2 Years of PD Diagnosis, Qianyun Hu, Fengquan Zhou, C. Pierre Jedynak, Liana S. Rosenthal, Zoltan Mari, and Bruno Jedynak

Intensity Inhomogeneity Correction of Macular OCT using N3 and Retinal Flatspace, Andrew Lang, Aaron Carass, Bruno Jedynak, Sharon D. Solomon, Peter Calabresi, and Jerry L. Prince

Minimizing Differences of Convex Functions with Applications to Facility Location and Clustering, Mau Nam Nguyen, R. Blake Rector, and Daniel J. Giles

Associations Between Performance on an Abbreviated CogState Battery, Other Measures of Cognitive Function, and Biomarkers in People at Risk for Alzheimer's Disease, Annie M. Racine, Lindsay R. Clark, Sara C. Berman, Rebecca L. Koscik, Kimberly D. Mueller, Derek Norton, Christopher R. Nicholas, Kaj Blennow, Henrik Zetterberg, Bruno M. Jedynak, Murat Bilgel, Cynthia M. Carlsson, Bradley T. Christian, Sanjay Asthana, and Sterling C. Johnson

MCI Status, Amyloid and Tau Biomarkers, and Composite Cognitive Impairment Scores are Associated with Cogstate Performance in the Wisconsin Registry for Alzheimer's Prevention, Annie M. Racine, Rebecca L. Koscik, Lindsay R. Clark, Kimberly D. Mueller, Sara Elizabeth Berman, Christopher R. Nicholas, Sanjay Asthana, Kaj Blennow, Henrik Zetterberg, Bruno Jedynak, Murat Bilgel, Bradley T. Christian, Cynthia M. Carlsson, and Sterling C. Johnson

Cycle Structures of Orthomorphisms Extending Partial Orthomorphisms of Boolean Groups, Nichole Louise Schimanski and John S. Caughman IV

An Ensemble Approach to Weak-Constraint Four-Dimensional Variational Data Assimilation, Jeremy A. Shaw and Dacian Daescu

Tridiagonal Matrices and Boundary Conditions, J. J. P. Veerman and David K. Hammond

Full State Revivals in Linearly Coupled Chains with Commensurate Eigenspectra, J. J. P. Veerman and Jovan Petrovic

Automated Cerebellar Lobule Segmentation with Application to Cerebellar Structural Analysis in Cerebellar Disease, Zhen Yang, Chuyang Ye, John A. Bogovic, Bruno Jedynak, Sarah H. Ying, and Jerry L. Prince

#### Submissions from 2015

On a Convex Set with Nondifferentiable Metric Projection, Shyan S. Akmal, Nguyen Mau Nam, and J. J. P. Veerman

Monomials and Basin Cylinders for Network Dynamics, Daniel Austin and Ian H. Dinwoodie

On the Coupling of DPG and BEM, Thomas Führer, Norbert Heuer, and Michael Karkulik

Robust Estimates for hp-Adaptive Approximations of Non-Self-Adjoint Eigenvalue Problems, Stefano Giani, Luka Grubišić, Agnieszka Międlar, and Jeffrey S. Ovall

A Tent Pitching Scheme Motivated by Friedrichs theory, Jay Gopalakrishnan, Peter Monk, and Paulina Sepúlveda

Dynamics of Locally Coupled Oscillators with Next-Nearest-Neighbor Interaction, J. Herbrych, A. G. Chazirakis, N. Christakis, and J. J. P. Veerman

Transients of Platoons with Asymmetric and Different Laplacians, Ivo Herman, Dan Martinec, and J. J. P. Veerman

Stability of a Circular System With Multiple Asymmetric Laplacians, Ivo Herman, Dan Martinec, J. J. P. Veerman, and Michael Sebek

On Stochastic Comparisons of Largest Order Statistics in the Scale Model, Subhash C. Kochar and Nuria Torrado

Mathematical Model for Bone Mineralization, Svetlana V. Komarova, Lee Safranek, Jay Gopalakrishnan, Miao-jung Yvonne Ou, Marc D. McKee, Monzur Murshed, Frank Rauch, and Erica Zuhr

A Posteriori Eigenvalue Error Estimation for the Schrödinger Operator with the Inverse Square Potential, Hengguang Li and Jeffrey S. Ovall

Statistical Model of OFDM and its Application in Nonlinearity Analysis of LTE-Advanced Systems, Xiao Li, Kwok-Wai Tam, and Fu Li

Body Sensations: Neurobiology, Learning to Feel, and Sensory Teamwork, Gin McCollum

Geometric Approach to Convex Subdifferential Calculus, Boris S. Mordukhovich and Nguyen Mau Nam

A Written Instrument for Assessing Students’ Units Coordination Structures, Anderson Norton, Steven Boyce, Nathan Phillips, Tessa Anwyll, Catherine Ulrich, and Jesse L. M. Wilkins

Stochastic Comparisons of Weighted Sums of Arrangement Increasing Random Variables, Xiaoqing Pan, Min Yuan, and Subhash C. Kochar

Periodic State Revivals in Commensurate Waveguide Arrays, Jovan Petrovic and J. J. P. Veerman

#### Submissions from 2014

Convergence Rates of the DPG Method with Reduced Test Space Degree, Timaeus Bouma, Jay Gopalakrishnan, and Ammar Harb

Prospective Elementary Mathematics Teacher Content Knowledge: An Introduction, Christine Browning, Eva Thanheiser, Alden Edson, Patrick M. Kimani, Dana Olanoff, Jennifer M. Tobias, and Ian Whitacre

Transients in the Synchronization of Oscillator Arrays, Carlos E. Cantos and J. J. P. Veerman

Conditional Tests on Basins of Attraction with Finite Fields, Ian H. Dinwoodie

Vanishing Configurations in Network Dynamics with Asynchronous Updates, Ian H. Dinwoodie

Exact Tests for Singular Network Data, Ian H. Dinwoodie and Kruti Pandya

Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation, Jay Gopalakrishnan, Ignacio Muga, and Nicole Olivares

An Analysis of the Practical DPG Method, Jay Gopalakrishnan and Weifeng Qiu

A Posteriori Estimates Using Auxiliary Subspace Techniques, Harri Hakula, Michael Neilan, and Jeffrey S. Ovall

Regularity of Mediatrices in Surfaces, Pilar Herreros, Mario Ponce, and J. J. P. Veerman

Nonsmooth Algorithms and Nesterov's Smoothing Technique for Generalized Fermat-Torricelli Problems, Nguyen Mau Nam, Nguyen Thai An, R. Blake Rector, and Jie Sun

Prospective Elementary Mathematics Teacher Content Knowledge: What Do We Know, What Do We Not Know, and Where Do We Go?, Eva Thanheiser, Christine Browning, Alden Edson, Jane-Jane Lo, Ian Whitacre, Dana Olanoff, and Crystal Morton

Mathematical Content Knowledge for Teaching Elementary Mathematics: A Focus on Whole-Number Concepts and Operations, Eva Thanheiser, Ian Whitacre, and George J. Roy

Stochastic Order Relations Among Parallel Systems from Weibull Distributions, Nuria Torrado and Subhash C. Kochar

On Rank Driven Dynamical Systems, J. J. P. Veerman and F. J. Prieto

#### Submissions from 2013

Multigrid for an HDG Method, Bernardo Cockburn, O. Bubois, and Jay Gopalakrishnan

Nonnegativity of Exact and Numerical Solutions of Some Chemotactic Models, Patrick De Leenheer, Jay Gopalakrishnan, and Erica Zuhr

A Primal DPG Method Without a First-Order Reformulation, L. Demkowicz and Jay Gopalakrishnan

Some New Applications of P-P Plots, Isha Dewan and Subhash C. Kochar

On Continuously Defective Elastic Crystals, Marek Elźanowski and Serge Preston

Supplementary Balance Laws for Cattaneo Heat Propagation, Serge Preston

Building a Knowledge Base: Understanding Prospective Elementary Teachers’ Mathematical Content Knowledge, Eva Thanheiser, Christine Browning, Alden Edson, Signe Kastberg, and Jane-Jane Lo

Stability of Large Flocks: an Example, J. J. P. Veerman and F. M. Tangerman

#### Submissions from 2012

Well Conditioned Boundary Integral Equations for Two-Dimensional Sound-Hard Scattering Problems in Domains with Corners, Akash Anand, Jeffrey S. Ovall, and Catalin Turc

Mixed Finite Element Approximation of the Vector Laplacian with Dirichlet Boundary Conditions, Douglas N. Arnold, Richard S. Falk, and Jay Gopalakrishnan

Self-assembled nanoparticle antiglare coatings, Khalid Askar, Blayne M. Phillips, Xuan Dou, Juan Lopez, Carl Smith, Bin Jiang, and Peng Jiang

A Locking-Free hp DPG Method for Linear Elasticity with Symmetric Stresses, Jamie Bramwell, Leszek Demkowicz, Jay Gopalakrishnan, and Weifeng Qiu

Instability in a Generalized Keller–Segel model, Patrick De Leenheer, Jay Gopalakrishnan, and Erica Zuhr

Wavenumber Explicit Analysis of a DPG Method for the Multidimensional Helmholtz Equation, Leszek Demkowicz, Jay Gopalakrishnan, Ignacio Muga, and Jeffrey Zitelli

A Class of Discontinuous Petrov–Galerkin Methods. Part III: Adaptivity, Leszek Demkowicz, Jay Gopalakrishnan, and Antti H. Niemi

Convergence Analysis of a Multigrid Algorithm for the Acoustic Single Layer Equation, Simon Gemmrich, Jay Gopalakrishnan, and Nilima Nigam

Benchmark Results for Testing Adaptive Finite Element Eigenvalue Procedures II (Cluster Robust Eigenvector and Eigenvalue Estimates), Stefano Giani, Luka Grubisic, and Jeffrey S. Ovall

Stochastic Comparisons of Order Statistics and Spacings: A Review, Subhash C. Kochar

On the Skewness of Order Statistics with Applications, Subhash C. Kochar and Maochao Xu

Some Unified Results on Comparing Linear Combinations of Independent Gamma Random Variables, Subhash C. Kochar and Maochao Xu

Partial Expansion of a Lipschitz Domain and Some Applications, Weifeng Qiu and Jay Gopalakrishnan

Supporting Implementation of the Common Core State Standards for Mathematics: Recommendations for Professional Development, Paola Sztajn, Karen A. Marrongelle, Peg Smith, and Bonnie L. Melton

Understanding Multidigit Whole Numbers: The Role of Knowledge Components, Connections, and Context in Understanding Regrouping 3+-Digit Numbers, Eva Thanheiser

Asymptotic Reliability Rheory of k-out-of-n Systems, Nuria Torrado and J. J. P. Veerman

#### Submissions from 2011

Determination of the Electric Field Intensity and Space Charge Density Versus Height Prior to Triggered Lightning, Christopher J. Biagi, Martin A. Uman, Jay Gopalakrishnan, J. D. Hill, Vladimir A. Rakov, T. Ngin, and Douglas M. Jordan

Analysis of HDG Methods for Stokes Flow, Bernardo Cockburn, Jay Gopalakrishnan, Ngoc Cuong Nguyen, Jaume Peraire, and Francisco-Javier Sayas

Analysis of the DPG Method for the Poisson Equation, Leszek Demkowicz and Jay Gopalakrishnan