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Submissions from 2019

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A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs, Gang Chen, Guosheng Fu, John R. Singler, and Yangwen Zhang

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An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs, Gang Chen, John R. Singler, and Yangwen Zhang

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Positivity-Preserving, Energy Stable Numerical Schemes for the Cahn-Hilliard Equation with Logarithmic Potential, Wenbin Chen, Cheng Wang, Xiaoming Wang, and Steven M. Wise

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A Second Order BDF Numerical Scheme with Variable Steps for the Cahn-Hilliard Equation, Wenbin Chen, Xiaoming Wang, Yue Yan, and Zhuying Zhang

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Interpolatory HDG Method for Parabolic Semilinear PDEs, Bernardo Cockburn, John R. Singler, and Yangwen Zhang

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A Dynamic Matrix Exponential Via a Matrix Cylinder Transformation, Tom Cuchta, David E. Grow, and Nick Wintz

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A Comparative Study on Nonlocal Diffusion Operators Related to the Fractional Laplacian, Siwei Duo, Hong Wang, and Yanzhi Zhang

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Accurate Numerical Methods for Two and Three Dimensional Integral Fractional Laplacian with Applications, Siwei Duo and Yanzhi Zhang

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Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications, Siwei Duo and Yanzhi Zhang

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A Note on Incremental POD Algorithms for Continuous Time Data, Hiba Fareed and John R. Singler

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On Corrected Phase-Type Approximations of the Time Value of Ruin with Heavy Tails, Daniel J. Geiger and Akim Adekpedjou

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A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems, Max Gunzburger, Nan Jiang, and Z. Wang

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Boundary Layers for the Subcritical Modes of the 3d Primitive Equations in a Cube, Makram Hamouda, Daozhi Han, Chang-Yeol Jung, Krutika Tawri, and Roger Temam

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Dynamic Bifurcation and Transition in the Rayleigh-Bénard Convection with Internal Heating and Varying Gravity, Daozhi Han, Marco Hernandez, and Quan Wang

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On the Instabilities and Transitions of the Western Boundary Current, Daozhi Han, Marco Hernandez, and Quan Wang

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Extensions of Schauder's and Darbo's Fixed Point Theorems, Zhaocai Hao, Martin Bohner, and Junjun Wang

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Chapter 1: Finite Elements for 1D second order elliptic equation, Xiaoming He

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Chapter 2: 2D/3D Finite Element Spaces, Xiaoming He

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Chapter 3: Finite Elements for 2D second order elliptic equation, Xiaoming He

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Efficient Smooth Non-Convex Stochastic Compositional Optimization via Stochastic Recursive Gradient Descent, Wenqing Hu, Chris Junchi Li, Xiangru Lian, Ji Liu, and Huizhuo Yuan

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On the Global Convergence of Continuous-Time Stochastic Heavy-Ball Method for Nonconvex Optimization, Wenqing Hu, Chris Junchi Li, and Xiang Zhou

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Large Deviations and Averaging for Systems of Slow-Fast Stochastic Reaction-Diffusion Equations, Wenqing Hu, Michael Salins, and Konstantinos Spiliopoulos

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Joint Manufacturing and Onsite Microgrid System Control using Markov Decision Process and Neural Network Integrated Reinforcement Learning, Wenqing Hu, Zeyi Sun, Y. Zhang, and Y. Li

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Real-Time Frequency Regulation using Aggregated Electric Vehicles in Smart Grid, Md. Monirul Islam, Xiao Zhong, Zeyi Sun, Haoyi Xiong, and Wenqing Hu

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An Empirical Saddlepoint Approximation Based Method for Smoothing Survival Functions under Right Censoring, Pratheepa Jeganathan, Noroharivelo V. Randrianampy, Robert L. Paige, and A. Alexandre Trindade

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A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations, Nan Jiang

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An Efficient Ensemble Algorithm for Numerical Approximation of Stochastic Stokes–Darcy Equations, Nan Jiang and Changxin Qiu

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A Multi-Step Approach to Modeling the 24-Hour Daily Profiles of Electricity Load using Daily Splines, Abdelmonaem Jornaz and V. A. Samaranayake

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The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces, Rowan Killip, Satoshi Masaki, Jason Murphy, and Monica Visan

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Almost Sure Scattering for the Energy-Critical NLS with Radial Data Below H¹(ℝ⁴), Rowan Killip, Jason Murphy, and Monica Visan

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A Hierarchical Dimension Reduction Approach for Big Data with Application to Fault Diagnostics, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani

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A Multi-Step Nonlinear Dimension-Reduction Approach with Applications to Big Data, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani

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On the Existence of Solutions of Variational Inequalities in Nonreflexive Banach Spaces, Vy Khoi Le

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On the Solvability of Inclusions with Multivalued Compact Perturbations of Bi-Mappings, Vy Khoi Le

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Fast, Unconditionally Energy Stable Large Time Stepping Method for a New Allen-Cahn Type Square Phase-Field Crystal Model, Fubiao Lin, Xiaoming He, and Xiaoxia Wen

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New Solution to the Pressure Transient Equation in a Two-Layer Reservoir with Crossflow, Jing Lu, Botao Zhou, Md. Motiur Rahman, and Xiaoming He

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Convection in a Coupled Free Flow-Porous Media System, Matthew McCurdy, Nicholas Moore, and Xiaoming Wang

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A Framework of Integrating Manufacturing Plants in Smart Grid Operation: Manufacturing Flexible Load Identification, Md. Monirul Islam, Zeyi Sun, Wenqing Hu, and Cihan H. Dagli

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A Course in Harmonic Analysis, Jason Murphy

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Random Data Final-State Problem for the Mass-Subcritical NLS in L², Jason Murphy

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Challenges in Topological Object Data Analysis, Vic Patrangenaru, Peter Bubenik, Robert L. Paige, and Daniel Osborne

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A Nonparametric Approach to 3D Shape Analysis from Digital Camera Images -- II, Mingfei Qiu, Robert L. Paige, and Vic Patrangenaru

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HDG-POD Reduced Order Model of the Heat Equation, Jiguang Shen, John R. Singler, and Yangwen Zhang

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Three-Dimensional Rotation of Paramagnetic and Ferromagnetic Prolate Spheroids in Simple Shear and Uniform Magnetic Field, Christopher A. Sobecki, Yanzhi Zhang, and Cheng Wang

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Complex Associations between Environmental Factors and Child Growth: Novel Mixed-Methods Approach, Lee E. Voth-Gaeddert, Khalid K. Al-Jabery, Gayla R. Olbricht, Donald C. Wunsch, and Daniel B. Oerther

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DBSDA: Lowering the Bound of Misclassification Rate for Sparse Linear Discriminant Analysis via Model Debiasing, Haoyi Xiong, Wei Cheng, Jiang Bian, Wenqing Hu, Zeyi Sun, and Zhishan Guo

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Numerical Approximations for the Hydrodynamics Coupled Binary Surfactant Phase Field Model: Second-Order, Linear, Unconditionally Energy Stable Schemes, Chen Xu, Chuanjun Chen, Xiaofeng Yang, and Xiaoming He

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A Diffuse Interface Model and Semi-Implicit Energy Stable Finite Element Method for Two-Phase Magnetohydrodynamic Flows, Jinjin Yang, Shipeng Mao, Xiaoming He, Xiaofeng Yang, and Yinnian He

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Convergence Analysis of an Unconditionally Energy Stable Projection Scheme for Magneto-Hydrodynamic Equations, Xiaofeng Yang, Guo-Dong Zhang, and Xiaoming He

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A Khmaladze-Transformed Test of Fit with ML Estimation in the Presence of Recurrent Events, K. D. Zamba and Akim Adekpedjou

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A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations, Guo-Dong Zhang, Xiaoming He, and Xiaofeng Yang

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An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs, X. Zhang, Y. Zhang, and John R. Singler

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Fabrication and Verification of a Glass-Silicon-Glass Micro-/Nanofluidic Model for Investigating Multi-Phase Flow in Shale-Like Unconventional Dual-Porosity Tight Porous Media, Yandong Zhang, Chuanle Zhou, Chuang Qu, Mingzhen Wei, Xiaoming He, and Baojun Bai

Submissions from 2018

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Spacelike Curves in the Lightlike Cone, Nemat Abazari, Martin Bohner, Ilgin Sager, and Alizera Sedaghatdoost

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Confidence Bands for Quantiles As a Function of Covariates in Recurrent Event Models, Akim Adekpedjou, Gayla R. Olbricht, and Gideon K. D. Zamba

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An Existence Result for Impulsive Multi-Point Boundary Value Systems Using a Local Minimization Principle, Ghasem A. Afrouzi, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi

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Approximation Degree of Durrmeyer-Bézier Type Operators, Purshottam N. Agrawal, Serkan Araci, Martin Bohner, and Kumari Lipi

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Mini Review: A Note on Nonoscillatory Solutions for Higher Dimensional Time Scale Systems, Elvan Akin, Ozkan Ozturk, Ismail Ugur Tiryaki, and Gulsah Yeni

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Oscillation Criteria for Four-Dimensional Time-Scale Systems, Elvan Akin and Gulsah Yeni

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Linear Programming Problems on Time Scales, Rasheed Al-Salih and Martin Bohner

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Further Results on Finite-Time Distributed Control of Multiagent Systems with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler

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Parametrization of Scale-Invariant Self-Adjoint Extensions of Scale-Invariant Symmetric Operators, Miron B. Bekker, Martin Bohner, Alexander P. Ugol'nikov, and Hristo Voulov

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Rank-Based Inference with Responses Missing Not at Random, Huybrechts F. Bindele and Akim Adekpedjou

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A Critical Point Approach to Boundary Value Problems on the Real Line, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi

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The Generalized Hypergeometric Difference Equation, Martin Bohner and Tom Cuchta

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A Nonautonomous Beverton-Holt Equation of Higher Order, Martin Bohner, Fozi M. Dannan, and Sabrina Streipert

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Fite-Hille-Wintner-Type Oscillation Criteria for Second-Order Half-Linear Dynamic Equations with Deviating Arguments, Martin Bohner, Taher S. Hassan, and Tongxing Li

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Cobweb Model with Conformable Fractional Derivatives, Martin Bohner and Veysel Fuat Hatipoglu

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Almost Periodic Functions in Quantum Calculus, Martin Bohner and Jaqueline Godoy Mesquita

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Massera's Theorem in Quantum Calculus, Martin Bohner and Jaqueline Godoy Mesquita

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A Further Extension of the Extended Riemann-Liouville Fractional Derivative Operator, Martin Bohner, Gauhar Rahman, Shahid Mubeen, and Kottakkaran Sooppy Nisar

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An Impulsive Delay Discrete Stochastic Neural Network Fractional-Order Model and Applications in Finance, Martin Bohner and Ivanka M. Stamova

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An HDG Method for Distributed Control of Convection Diffusion PDEs, Gang Chen, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng

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A New Proof of Scattering below the Ground State for the Non-Radial Focusing NLS, Benjamin Dodson and Jason Murphy

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A Data Assimilation Enabled Model for Coupling Dual Porosity Flow with Free Flow, Craig Douglas, Xiukun Hu, Baojun Bai, Xiaoming He, Mingzhen Wei, and Jiangyong Hou

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A Fast Algorithm for Solving the Space-Time Fractional Diffusion Equation, Siwei Duo, Lili Ju, and Yanzhi Zhang

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A Novel and Accurate Finite Difference Method for the Fractional Laplacian and the Fractional Poisson Problem, Siwei Duo, Hans Werner van Wyk, and Yanzhi Zhang

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Incremental Proper Orthogonal Decomposition for PDE Simulation Data, Hiba Fareed, John R. Singler, Yangwen Zhang, and Jiguang Shen

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Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model, Yali Gao, Xiaoming He, Liquan Mei, and Xiaofeng Yang

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Distributed Learning of Deep Sparse Neural Networks for High-Dimensional Classification, Shweta Garg, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity, Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, Xiao Zhang, and Yangwen Zhang

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A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations, Max Gunzburger, Nan Jiang, and Michael Schneier

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Analysis and Approximation of a Fractional Laplacian-Based Closure Model for Turbulent Flows and Its Connection to Richardson Pair Dispersion, Max Gunzburger, Nan Jiang, and Feifei Xu

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Boundary Layers for the 3D Primitive Equations in a Cube: The Zero-Mode, Makram Hamouda, Daozhi Han, Chang-Yeol Jung, and Roger Temam

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Immersed Finite Element Particle-in-Cell Simulations of Plasma Charging at the Lunar Terminator, Daoru Frank Han, Joseph J. Wang, and Xiaoming He

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Dynamical Transitions of a Low-Dimensional Model for Rayleigh-Bénard Convection under a Vertical Magnetic Field, Daozhi Han, Marco Hernandez, and Quan Wang

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A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn-Hilliard-Darcy System, Daozhi Han and Xiaoming Wang

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Observer-Based Feedback Boundary Stabilization of the Navier-Stokes Equations, Xiaoming He, Weiwei Hu, and Yangwen Zhang

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Numerical Approximations for a Smectic-A Liquid Crystal Flow Model: First-Order, Linear, Decoupled and Energy Stable Schemes, Qiumei Huang, Xiaofeng Yang, and Xiaoming He

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Trace Pursuit Variable Selection for Multi-Population Data, Lei Huo, Xuerong Meggie Wen, and Zhou Yu

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A Superconvergent HDG Method for Distributed Control of Convection Diffusion PDEs, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng

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A Convergence Analysis of the Perturbed Compositional Gradient Flow: Averaging Principle and Normal Deviations, Wenqing Hu and Chris Junchi Li

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Dynamics of Geodesic Flows with Random Forcing on Lie Groups with Left-Invariant Metrics, Wenqing Hu and V. Sverak

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An Efficient, Partitioned Ensemble Algorithm for Simulating Ensembles of Evolutionary MHD Flows at Low Magnetic Reynolds Number, Nan Jiang and Michael Schneier

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The Initial-Value Problem for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions, Rowan Killip, Jason Murphy, and Monica Visan

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A Minimax Approach for Classification with Big-Data, Raghavan Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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A Multi-Step Nonlinear Dimension-Reduction Approach with Applications to Bigdata, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani

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Direct Error Driven Learning for Deep Neural Networks with Applications to Bigdata, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals, Vy Khoi Le and Klaus Schmitt

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A Stabilized Finite Volume Element Method for a Coupled Stokes-Darcy Problem, Ru Li, Jian Li, Xiaoming He, and Zhangxin Chen