#### Submissions from 2015

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

Continuously Defective Crystals with a Prescribed Defectiveness, Marek Elźanowski and Serge Preston

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

Polynomial Extension Operators. Part III, Leszek Demkowicz, Jay Gopalakrishnan, and Joachim Schöberl

Reliable A-Posteriori Error Estimators for hp-Adaptive Finite Element Approximations of Eigenvalue/lEigenvector Problems, Stefano Giani, Luka Grubisic, and Jeffrey S. Ovall

A Second Elasticity Element Using the Matrix Bubble, Jay Gopalakrishnan and Johnny Guzmán

Symmetric Nonconforming Mixed Finite Elements for Linear Elasticity, Jay Gopalakrishnan and Johnny Guzmán

Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations, Jay Gopalakrishnan and Minah Oh

A Review on Convolutions of Gamma Random Variables, Baha-Eldin Khaledi and Subhash C. Kochar

Biomimetic broadband antireflection gratings on solar-grade multicrystalline silicon wafers, Blayne M. Phillips, Peng Jiang, and Bin Jiang

Balance Systems and the Variational Bicomplex, Serge Preston

Ensemble Methods for Dynamic Data Assimilation of Chemical Observations in Atmospheric Models, Adrian Sandu, Emil Constantinescu, Gregory R. Carmichael, Tianfeng Chai, Dacian Daescu, and John H. Seinfeld

#### Submissions from 2010

Hybridization and Postprocessing Techniques for Mixed Eigenfunctions, Bernardo Cockburn, Jay Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, and Jaume Peraire

Multigrid in a Weighted Space Arising from Axisymmetric Electromagnetics, Dylan M. Copeland, Jay Gopalakrishnan, and Minah Oh

A Class of Discontinuous Petrov–Galerkin Methods. II. Optimal Test Functions, Leszek Demkowicz and Jay Gopalakrishnan

A Class of Discontinuous Petrov–Galerkin Methods. Part I: The Transport Equation, Leszek Demkowicz and Jay Gopalakrishnan

On the Integrability of Orthogonal Distributions in Poisson Manifolds, Daniel Fish and Serge Preston

A Projection-Based Error Analysis of HDG Methods, Jay Gopalakrishnan, Bernardo Cockburn, and Francisco-Javier Sayas

Effect of Network Structure on the Stability Margin of Large Vehicle with Distributed Control, He Hao, Prabir Barooah, and J. J. P. Veerman

Phase-Linking and the Perceived Motion during Off-Vertical Axis Rotation, Jan Holly, Scott Wood, and Gin McCollum

On Residual Lifetimes of k-out-of-n Systems With Nonidentical Components, Subhash C. Kochar and Maochao Xu

Symmetries of the Central Vestibular System: Forming Movements for Gravity and a Three-Dimensional World, Gin McCollum and Douglas Hanes

Supplementary Balance Laws and the Entropy Principle, Serge Preston

Material Uniformity and the Concept of the Stress Space, Serge Preston and Marek Elźanowski

Investigating Further Preservice Teachers’ Conceptions of Multidigit Whole Numbers: Refining a Framework, Eva Thanheiser

Developing Mathematical Content Knowledge for Teaching Elementary School Mathematics, Eva Thanheiser, Christine Browning, Meg Moss, Tad Watanabe, and Gina Garza-Kling

Symmetry and Stability of Homogeneous Flocks, J. J. P. Veerman

A Class of Discontinuous Petrov–Galerkin Methods. Part IV: The Optimal Test Norm and Time-Harmonic Wave Propagation in 1D., Jeffrey Zitelli, Leszek Demkowicz, Jay Gopalakrishnan, D. Pardo, and V. M. Calo

#### Submissions from 2009

The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow, Bernardo Cockburn and Jay Gopalakrishnan

A New Elasticity Element Made for Enforcing Weak Stress Symmetry, Bernardo Cockburn, Jay Gopalakrishnan, and Johnny Guzmán

Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems, Bernardo Cockburn, Jay Gopalakrishnan, and Raytcho Lazarov

Polynomial Extension Operators. Part II, Leszek Demkowicz, Jay Gopalakrishnan, and Joachim Schöberl

Variational Theory of Balance Systems, Serge Preston

Large-scale Assembly of Periodic Nanostructures with Metastable Square Lattices, Chih-Hung Sun, Wei-Lun Min, Nicholas C. Linn, Peng Jiang, and Bin Jiang

A Single Particle Impact Model for Motion in Avalanches, J. J. P. Veerman, Dacian Daescu, M. J. Romero-Vallés, and P. J. Torres

Stability of Linear Flocks on a Ring Road, J. J. P. Veerman and Carlos Martins da Fonseca

Automated Traffic and the Finite Size Resonance, J. J. P. Veerman, Borko D. Stošić, and F. M. Tangerman

#### Submissions from 2008

Uniform Materials and the Multiplicative Decomposition of the Deformation Gradient in Finite Elasto-Plasticity, Vincenzo Ciancio, Marina Dolfin, Mauro Francaviglia, and Serge Preston

A Mixed Method for Axisymmetric Div-Curl Systems, Dylan M. Copeland, Jay Gopalakrishnan, and Joseph E. Pasciak

On The Spectra of Certain Directed Paths, Carlos Martins da Fonseca and J. J. P. Veerman

Polynomial Extension Operators. Part I, Leszek Demkowicz, Jay Gopalakrishnan, and Joachim Schöberl

Order Restricted Inference for Comparing the Cumulative Incidence of a Competing Risk Over Several Populations, Hammou El Barmi, Subhash C. Kochar, and Hari Mukerjee

Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures, Jay Gopalakrishnan, Shari Moskow, and Fadil Santosa

Multigrid Convergence for Second Order Elliptic Problems with Smooth Complex Coefficients, Jay Gopalakrishnan and Joseph E. Pasciak

Correction to "Stochastic comparisons of parallel systems when components have proportional hazard rates", Subhash C. Kochar and Maochao Xu

How Students use Mathematical Resources in an Electrostatics Context, Dawn C. Meredith and Karen A. Marrongelle

Bioinspired broadband antireflection coatings on GaSb, Wei-Lun Min, Amaury P. Betancourt, Peng Jiang, and Bin Jiang

Utilization of Revoicing Based on Learners‘ Thinking in an Inquiry-Oriented Differential Equations Class, Oh Kwon Nam, Mi Kyung Ju, Chris Rasmussen, Karen A. Marrongelle, Jae Hee Park, Kyoung Hee Cho, Jung Sook Park, and Jee Hyun Park

Multisymplectic Theory of Balance Systems, I, Serge Preston

The Indefinite Metric of R. Mrugala and the Geometry of the Thermodynamical Phase Space, Serge Preston and James Vargo

Templated biomimetic multifunctional coatings, Chih-Hung Sun, Adriel Gonzalez, Nicholas C. Linn, Peng Jiang, and Bin Jiang

Biomimetic Subwavelength Antireflective Gratings on GaAs, Chih-Hung Sun, Brian J. Ho, Bin Jiang, and Peng Jiang

Broadband moth-eye antireflection coatings on silicon, Chih-Hung Sun, Peng Jiang, and Bin Jiang

#### Submissions from 2007

The Topology of Surface Mediatrices, James Bernhard and J. J. P. Veerman

Textured Crystallization of Ultrathin Hafnium Oxide Films on Silicon Substrate, Fakhruddin Bohra, Bin Jiang, and Jian-Min Zuo

Locally Conservative Fluxes for the Continuous Galerkin Method, Bernardo Cockburn, Jay Gopalakrishnan, and Haiying Wang

A Model of the Self-Driven Evolution of a Defective Continuum, Marek Elźanowski and Serge Preston

Some Recent Results on Stochastic Comparisons and Dependence among Order Statistics in the Case of PHR Model, Subhash C. Kochar and Maochao Xu

Stochastic Comparisons of Parallel Systems When Component Have Proportional Hazard Rates, Subhash C. Kochar and Maochao Xu