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Submissions from 2020

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A Superconvergent Hybridizable Discontinuous Galerkin Method for Dirichlet Boundary Control of Elliptic PDEs, Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, and Xiaobo Zheng

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On the Long-Time Behavior of a Perturbed Conservative System with Degeneracy, Wenqing Hu

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Flexible Energy Load Identification in Intelligent Manufacturing for Demand Response using a Neural Network Integrated Particle Swarm Optimization, Md Monirul Islam, Zeyi Sun, Ruwen Qin, Wenqing Hu, Haoyi Xiong, and Kaibo Xu

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Invariance of White Noise for KdV on the Line, Rowan Killip, Jason Murphy, and Monica Visan

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Direct Error-Driven Learning for Deep Neural Networks with Applications to Big Data, R. Krishnan, S. Jagannathan, and V. A. Samaranayake

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Direct Error Driven Learning for Classification in Applications Generating Big-Data, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake

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On Variational Inequalities with Multivalued Perturbing Terms Depending on Gradients, Vy Khoi Le

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Discontinuous Finite Volume Element Method for a Coupled Navier-Stokes-Cahn-Hilliard Phase Field Model, Rui Li, Yali Gao, Jie Chen, Li Zhang, Xiaoming He, and Zhangxin Chen

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Discrete Unified Gas Kinetic Scheme for a Reformulated BGK-Vlasov-Poisson System in All Electrostatic Plasma Regimes, Hongtao Liu, Feng Shi, Jie Wan, Xiaoming He, and Yong Cao

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New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data, Sarah Locke and John R. Singler

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A Fully Decoupled Iterative Method with Three-Dimensional Anisotropic Immersed Finite Elements for Kaufman-Type Discharge Problems, Chang Lu, Jie Wan, Yong Cao, and Xiaoming He

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Three-Dimensional Immersed Finite-Element Method for Anisotropic Magnetostatic/Electrostatic Interface Problems with Nonhomogeneous Flux Jump, Chang Lu, Zhi Yang, Jinwei Bai, Yong Cao, and Xiaoming He

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Stability of Small Solitary Waves for the One-Dimensional Nls with an Attractive Delta Potential, Satoshi Masaki, Jason Murphy, and Jun Ichi Segata

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The Energy-Critical Nonlinear Wave Equation with an Inverse-Square Potential, Changxing Miao, Jason Murphy, and Jiqiang Zheng

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Numerical Simulations for the Energy-Supercritical Nonlinear Wave Equation, Jason Murphy and Yanzhi Zhang

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Statistical Comparative Analysis and Evaluation of Validation Indices for Clustering Optimization, Thy Nguyen, Jason Viehman, Dacosta Yeboah, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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Impulsive Synchronization of Time-Scales Complex Networks with Time-Varying Topology, Yong Pei, Martin Bohner, and Dechang Pi

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A Domain Decomposition Method for the Time-Dependent Navier-Stokes-Darcy Model with Beavers-Joseph Interface Condition and Defective Boundary Condition, Changxin Qiu, Xiaoming He, Jian Li, and Yanping Lin

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Exploratory Analysis of Concussion Recovery Trajectories using Multi-Modal Assessments and Serum Biomarkers, Zachary Roy, Sujit Subhash, Lien A. Bui, Bassam Hadi, Daniel B. Hier, Donald C. Wunsch, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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Handling missing data for unsupervised learning with an application on a FITBIR Traumatic Brain Injury (TBI) Dataset, Louis Steinmeister, Dacosta Yeboah, Gayla Olbricht, Tayo Obafemi-Ajayi, Bassam Hadi, Daniel Hier, and Donald C. Wunsch

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A General Class of Additive Semiparametric Models for Recurrent Event Data, Russell Stocker and Akim Adekpedjou

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On the Noisy Gradient Descent that Generalizes as SGD, Jingfeng Wu, Wenqing Hu, Haoyi Xiong, Jun Huan, Vladimir Braverman, and Zhanxing Zhu

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A Generalized Finite Difference Method for Solving Elliptic Interface Problems, Yanan Xing, Lina Song, Xiaoming He, and Changxin Qiu

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An Explainable and Statistically Validated Ensemble Clustering Model Applied to the Identification of Traumatic Brain Injury Subgroups, Dacosta Yeboah, Louis Steinmeister, Daniel B. Hier, Bassam Hadi, Donald C. Wunsch, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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Thermal Effect of Cold Fluid Injection on Fracture Integrity of Host Rock: A Microscale Analysis of Single Asperity, Chao Zeng, Wen Deng, Chenglin Wu, and Matt Insall

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Fully Decoupled, Linear and Unconditionally Energy Stable Time Discretization Scheme for Solving the Magneto-Hydrodynamic Equations, Guo-Dong Zhang, Xiaoming He, and Xiaofeng Yang

Submissions from 2019

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Control of Wheeled Mobile Robots on Time Scales, Elvan Akin, Haci Guzey, and Ozkan Ozturk

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On Nonoscillatory Solutions of Three Dimensional Time-Scale Systems, Elvan Akin, Taher Hassan, Ozkan Ozturk, and Ismail U. Tiryaki

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On Volterra-Integro Dynamical Systems On Time Scales, Elvan Akin and Ozkan Ozturk

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Computational Learning Approaches to Data Analytics in Biomedical Applications, First Edition, Khalid Al-Jabery, Tayo Obafemi-Ajayi, Gayla Olbricht, and Donald C. Wunsch

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Coupled and Decoupled Stabilized Mixed Finite Element Methods for Nonstationary Dual-Porosity-Stokes Fluid Flow Model, Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, and Haibiao Zheng

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Robustness of Finite-Time Distributed Control Algorithm with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler

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Balanced Truncation Model Reduction of a Nonlinear Cable-Mass PDE System with Interior Damping, Belinda A. Batten, Hesam Shooriy, John R. Singler, and Madhuka H. Weerasinghe

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Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi

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Spectral Analysis of an Impulsive Quantum Difference Operator, Martin Bohner and Serifenur Cebesoy

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Periodic Solutions of Linear, Riccati, and Abel Dynamic Equations, Martin Bohner, Armengol Gasull, and Claudia Valls

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Asymptotic Behavior of Solutions of Forced Third-Order Dynamic Equations, Martin Bohner, Said R. Grace, and Irena Jadlovska

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

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Exact Solution to a Dynamic SIR Model, Martin Bohner, Sabrina H. Streipert, and Delfim F. M. Torres

Oscillation Criteria for Second-Order Differential Equations with Superlinear Neutral Term, Martin Bohner, B. Sudha, K. Tangavelu, and E. Thandapani

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An Old Task in New Clothes: A Preregistered Direct Replication Attempt of Enclothed Cognition Effects on Stroop Performance, Devin Michael Burns, Elizabeth L. Fox, Michael Greenstein, Gayla R. Olbricht, and DeMaris Montgomery

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Extremal Solutions of Multi-Valued Variational Inequalities in Plane Exterior Domains, Siegfried Carl and Vy Khoi Le

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Hyperspaces of Generalized Continua which Are Infinite Cylinders, W. J. Charatonik, Tomas Fernandez-Bayort, and Antonio Quintero

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Local Connectedness of Inverse Limits, W. J. Charatonik and Faruq A. Mena

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Method of Upper and Lower Solutions for Nonlinear Caputo Fractional Difference Equations and its Applications, Churong Chen, Martin Bohner, and Baoguo Jia

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Ulam-Hyers Stability of Caputo Fractional Difference Equations, Churong Chen, Martin Bohner, and Baoguo Jia

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Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations I: An HDG K Method, Gang Chen, Bernardo Cockburn, John R. Singler, and Yangwen Zhang

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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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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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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