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Submissions from 2012

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

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

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

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

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

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

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

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

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

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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

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

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

Submissions from 2011

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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

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

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

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

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

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

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

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

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

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

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Balance Systems and the Variational Bicomplex, Serge Preston

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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

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

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

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

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

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

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

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

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

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

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

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Supplementary Balance Laws and the Entropy Principle, Serge Preston

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

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

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

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

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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

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

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

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

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

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Variational Theory of Balance Systems, Serge Preston

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

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

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

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

Submissions from 2008

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

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

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

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

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

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

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

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

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

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

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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

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Multisymplectic Theory of Balance Systems, I, Serge Preston

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

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

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

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

Submissions from 2007

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

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

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

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

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

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

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Self-assembled biomimetic antireflection coatings, Nicholas C. Linn, Chih-Hung Sun, Peng Jiang, and Bin Jiang

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Templated fabrication of large area subwavelength antireflection gratings on silicon, Chih-Hung Sun, Wei-Lun Min, Nicholas C. Linn, Peng Jiang, and Bin Jiang

Submissions from 2006

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Kernels of Directed Graph Laplacians, John S. Caughman IV and J. J. P. Veerman

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The Convergence of V-Cycle Multigrid Algorithms for Axisymmetric Laplace and Maxwell Equations, Jay Gopalakrishnan and Joseph E. Pasciak

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Correction to "Dependence, Dispersiveness, and Multivariate Hazard Rate Ordering", Baha-Eldin Khaledi and Subhash C. Kochar

Submissions from 2005

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A Note on Lattice Chains and Delannoy Numbers, John S. Caughman IV, Clifford R. Haithcock, and J. J. P. Veerman

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The Terwilliger Algebra of an Almost-Bipartite P- and Q-Polynomial Association Scheme, John S. Caughman IV, Mark S. MacLean, and Paul M. Terwilliger

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Error Analysis of Variable Degree Mixed Methods for Elliptic Problems via Hybridization, Bernardo Cockburn and Jay Gopalakrishnan

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Incompressible Finite Elements via Hybridization. Part II: The Stokes System in Three Space Dimensions, Bernardo Cockburn and Jay Gopalakrishnan

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Incompressible Finite Elements via Hybridization. Part I: The Stokes System in Two Space Dimensions, Bernardo Cockburn and Jay Gopalakrishnan

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Modeling the Evolution of Inhomogeneities, Marek Elźanowski and Serge Preston

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Nédélec Spaces in Affine Coordinates, Jay Gopalakrishnan, Luis E. García-Castillo, and Leszek Demkowicz

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Dependence, Dispersiveness, and Multivariate Hazard Rate Ordering, Baha-Eldin Khaledi and Subhash C. Kochar

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Curvature of the Weinhold Metric for Thermodynamical Systems with 2 Degrees of Freedom, Manuel Santoro and Serge Preston

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A Solvable Model for Gravity Driven Granular Dynamics, J. J. P. Veerman

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Flocks and Formations, J. J. P. Veerman, Gerardo Lafferriere, John S. Caughman IV, and A. Williams

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Stable Motions of Vehicle Formations, Anca Williams, Gerardo Lafferriere, and J. J. P. Veerman

Submissions from 2004

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A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems, Bernardo Cockburn and Jay Gopalakrishnan

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Material Symmetry in a Theory of Continuously Defective Crystals, Marek Elźanowski and G. Parry

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Quasioptimality of Some Spectral Mixed Methods, Jay Gopalakrishnan and Leszek Demkowicz

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Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations, Jay Gopalakrishnan, Joseph E. Pasciak, and Leszek Demkowicz

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Decentralized Control of Vehicle Formations, Gerardo Lafferriere, Anca Williams, John S. Caughman IV, and J. J. P. Veerman

Submissions from 2003

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Estimation of Cumulative Incidence Functions in Competing Risks Studies Under an Order Restriction, Hammou El Barmi, Subhash C. Kochar, Hari Mukerjee, and Francisco J. Samaniego

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A Model of the Evolution of a Two-dimensional Defective Structure, Marcelo Epstein and Marek Elźanowski

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A Schwarz Preconditioner for a Hybridized Mixed Method, Jay Gopalakrishnan

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A Multilevel Discontinuous Galerkin Method, Jay Gopalakrishnan and Guido Kanschat

Submissions from 2002

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Single-Particle Model for a Granular Ratchet, Albert J. Bae, Welles Antonio Martinez Morgado, J. J. P. Veerman, and Giovani L. Vasconcelos

Another Look at the Evolution of Material Structures, Ernst Binz and Marek Elźanowski

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Conformal Laplacian and Conical Singularities, Boris Botvinnik and Serge Preston