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Submissions from 2022

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Modeling and a Robin-Type Decoupled Finite Element Method for Dual-Porosity-Navier-Stokes System with Application to Flows Around Multistage Fractured Horizontal Wellbore, Jiangyong Hou, Dan Hu, Xiaoming He, and Changxin Qiu

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Modified Scattering for a Dispersion-Managed Nonlinear Schrödinger Equation, Jason Murphy and Tim Van Hoose

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A Fully Decoupled Linearized Finite Element Method with Second-Order Temporal Accuracy and Unconditional Energy Stability for Incompressible MHD Equations, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

Submissions from 2021

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On Thin Continua, Hussam Abobaker and W. J. Charatonik

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Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations, Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, and Alaa E. Hamza

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Hyers-Ulam and Hyers-Ulam-Rassias Stability of First-Order Linear Dynamic Equations, Maryam A. Alghamdi, Alaa Aljehani, Martin Bohner, and Alaa E. Hamza

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Oscillation of Nonlinear Third-Order Difference Equations with Mixed Neutral Terms, Jehad Alzabut, Martin Bohner, and Said R. Grace

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A Multivalued Logarithm on Time Scales, Douglas R. Anderson and Martin Bohner

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Corrigendum To: Finite-Time Distributed Control with Time Transformation (International Journal of Robust and Nonlinear Control, (2021), 31, 1, (107-130), 10.1002/Rnc.5264), Ehsan Arabi, Tansel Yucelen, and John R. Singler

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

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A Kinetic Model for Blood Biomarker Levels after Mild Traumatic Brain Injury, Sima Azizi, Daniel B. Hier, Blaine Allen, Tayo Obafemi-Ajayi, Gayla R. Olbricht, Matthew S. Thimgan, and Donald C. Wunsch

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An Implicit Particle-In-Cell Model based on Anisotropic Immersed-Finite-Element Method, Jinwei Bai, Yong Cao, Xiaoming He, and Peng E

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Oscillation of Even-Order Neutral Differential Equations with Retarded and Advanced Arguments, Martin Bohner, Bose Rani, Srinivasan Selvarangam, and Ethiraju Thandapani

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First-Order Nonlinear Dynamic Initial Value Problems, Martin Bohner, Sanket Tikare, and Iguer Luis Domini dos Santos

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Qualitative Analysis of Caputo Fractional Integro-Differential Equations with Constant Delays, Martin Bohner, Osman Tunç, and Cemil Tunç

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Heterogeneity in Blood Biomarker Trajectories after Mild TBI Revealed by Unsupervised Learning, Lien A. Bui, Dacosta Yeboah, Louis Steinmeister, Sima Azizi, Daniel Hier, Donald C. Wunsch, Gayla R. Olbricht, and Tayo Obafemi-Ajayi

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A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional Pdes, John Burkardt, Yixuan Wu, and Yanzhi Zhang

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Introduction, Siegfried Carl and Vy Khoi Le

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Mathematical Preliminaries, Siegfried Carl and Vy Khoi Le

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Multi-Valued Elliptic Variational Inequalities on Convex Sets, Siegfried Carl and Vy Khoi Le

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Multi-Valued Parabolic Variational Inequalities on Convex Sets, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Equations, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Inequalities and Inclusions, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Inequalities in Unbounded Domains, Siegfried Carl and Vy Khoi Le

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Multi-Valued Variational Inequalities with Convex Functionals, Siegfried Carl and Vy Khoi Le

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On Systems of Parabolic Variational Inequalities with Multivalued Terms, Siegfried Carl and Vy Khoi Le

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Mappings and Spaces Defined by the Function Epsilon, W. J. Charatonik and Daria Michalik

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Menger Curve as Inverse Limit, W. J. Charatonik and Şahika Şahan

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Conservative Unconditionally Stable Decoupled Numerical Schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq System, Wenbin Chen, Daozhi Han, Xiaoming Wang, and Yichao Zhang

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Dynamics of Plane Waves in the Fractional Nonlinear Schrödinger Equation with Long-Range Dispersion, Siwei Duo, Taras I. Lakoba, and Yanzhi Zhang

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Wave Propagation for Reaction-Diffusion Equations on Infinite Random Trees, Wai Tong Louis Fan, Wenqing Hu, and Grigory Terlov

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A Linear Second-Order in Time Unconditionally Energy Stable Finite Element Scheme for a Cahn-Hilliard Phase-Field Model for Two-Phase Incompressible Flow of Variable Densities, Guosheng Fu and Daozhi Han

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Dynamic Capability and Open-Source Strategy in the Age of Digital Transformation, Nobuyuki Fukawa, Yanzhi Zhang, and Sunil Erevelles

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Second-Order, Fully Decoupled, Linearized, and Unconditionally Stable Scalar Auxiliary Variable Schemes for Cahn-Hilliard-Darcy System, Yali Gao, Xiaoming He, and Yufeng Nie

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Bilinear State Systems on an Unbounded Time Scale, David E. Grow and Nick Wintz

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Fast Implicit Difference Schemes for Time-Space Fractional Diffusion Equations with the Integral Fractional Laplacian, Xian Ming Gu, Hai Wei Sun, Yanzhi Zhang, and Yong Liang Zhao

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On the Phase-Field Modeling of Rapid Solidification, Yijia Gu, Xiaoming He, and Daozhi Han

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Scattering for the Non-Radial Energy-Critical Inhomogeneous NLS, Carlos M. Guzmán and Jason Murphy

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Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow, Daozhi Han, Marco Hernandez, and Quan Wang

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Existence and Weak-Strong Uniqueness of Solutions to the Cahn-Hilliard-Navier-Stokes-Darcy System in Superposed Free Flow and Porous Media, Daozhi Han, Xiaoming He, Quan Wang, and Yanyun Wu

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Stability and Approximation of Solutions in New Reproducing Kernel Hilbert Spaces on a Semi-Infinite Domain, Jabar S. Hassan and David E. Grow

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Blood Biomarkers for Mild Traumatic Brain Injury: A Selective Review of Unresolved Issues, Daniel B. Hier, Tayo Obafemi-Ajayi, Matthew S. Thimgan, Gayla R. Olbricht, Sima Azizi, Blaine Allen, Bassam A. Hadi, and Donald C. Wunsch

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Hausdorff Compactifications, Matt Insall, Peter A. Loeb, and Małgorzata Aneta Marciniak

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Pattern Selection in the Schnakenberg Equations: from Normal to Anomalous Diffusion, Hatim K. Khudhair, Yanzhi Zhang, and Nobuyuki Fukawa

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On Optimal Pointwise in Time Error Bounds and Difference Quotients for the Proper Orthogonal Decomposition, Birgul Koc, Samuele Rubino, Michael Schneier, John R. Singler, and Traian Iliescu

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Extremal Solutions in Systems of Variational Inequalities with Multivalued Mappings, Vy Khoi Le

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Bivariate Barycentric Rational Interpolation Method for Two Dimensional Fractional Volterra Integral Equations, Hongyan Liu, Jin Huang, and Xiaoming He

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A Novel Convergence Analysis of Robin-Robin Domain Decomposition Method for Stokes-Darcy System with Beavers-Joseph Interface Condition, Yingzhi Liu, Yinnian He, Xuejian Li, and Xiaoming He

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Testing Differentially Methylated Regions through Functional Principal Component Analysis, Mohamed Milad and Gayla R. Olbricht

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Threshold Scattering for the 2D Radial Cubic-Quintic NLS, Jason Murphy

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Failure of Scattering to Solitary Waves for Long-Range Nonlinear Schrödinger Equations, Jason Murphy and Kenji Nakanishi

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Small Sample Inference for Exponential Survival Times with Heavy Right-Censoring, Robert L. Paige and Noroharivelo V. Randrianampy

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Distributed Min-Max Learning Scheme for Neural Networks with Applications to High-Dimensional Classification, Krishnan Raghavan, Shweta Garg, Sarangapani Jagannathan, and V. A. Samaranayake

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A Game Theoretic Approach for Addressing Domain-Shift in Big-Data, Krishnan Raghavan, Jagannathan Sarangapani, and V. A. Samaranayake

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Fourth Derivative Singularly P-Stable Method for the Numerical Solution of the Schrödinger Equation, Ali Shokri, Higinio Ramos, Mohammad Mehdizadeh Khalsaraei, Fikret A. Aliev, and Martin Bohner

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Predictive Modeling of Sports-Related Concussions using Clinical Assessment Metrics, Sujit Subhash, Tayo Obafemi-Ajayi, Dennis Goodman, Donald C. Wunsch, and Gayla R. Olbricht

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Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces, Sanket Tikare, Martin Bohner, Bipan Hazarika, and Ravi P. Agarwal

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On the Fast Convergence of Random Perturbations of the Gradient Flow, Jiaojiao Yang, Wenqing Hu, and Chris Junchi Li

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Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

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Direct Pore-Level Visualization and Verification of In Situ Oil-in-Water Pickering Emulsification during Polymeric Nanogel Flooding for EOR in a Transparent Three-Dimensional Micromodel, Yandong Zhang, Jiaming Geng, Junchen Liu, Baojun Bai, Xiaoming He, Mingzhen Wei, and Wen Deng

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Second-Order Decoupled Energy-Stable Schemes for Cahn-Hilliard-Navier-Stokes Equations, Jia Zhao and Daozhi Han

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Fully-Kinetic Particle-In-Cell Simulations of Photoelectron Sheath on Uneven Lunar Surface, Jianxun Zhao, Xinpeng Wei, Xiaoming He, Daoru Frank Han, and Xiaoping Du

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Photoelectron Sheath Near the Lunar Surface: Fully Kinetic Modeling and Uncertainty Quantification Analysis, Jianxun Zhao, Xinpeng Wei, Zhangli Hu, Xiaoming He, Daoru Frank Han, Zhen Hu, and Xiaoping Du

Submissions from 2020

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A Natural Frenet Frame for Null Curves on the Lightlike Cone in Minkowski Space ℝ⁴₂, Nemat Abazari, Martin Bohner, Ilgin Sağer, Alireza Sedaghatdoost, and Yusuf Yayli

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Semiparametric Estimation with Spatially Correlated Recurrent Events, Akim Adekpedjou and Sophie Dabo-Niang

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Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces, Ali Akgul and David E. Grow

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Parameter Identification for Gompertz and Logistic Dynamic Equations, Elvan Akin, Neslihan Nesliye Pelen, Ismail Ugur Tiryaki, and Fusun Yalcin

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On Exact Solutions to Epidemic Dynamic Models, Elvan Akin and Gülşah Yeni

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Continuous and Discrete Modeling of HIV-1 Decline on Therapy, Elvan Akin, Gülşah Yeni, and Alan S. Perelson

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A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System, M. D. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, Yifan Wang, and Haibiao Zheng

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

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

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Scattering Below the Ground State for the 2d Radial Nonlinear Schrödinger Equation, Anudeep Kumar Arora, Benjamin Dodson, and Jason Murphy

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Binary Metrics, Samer Assaf, Tom Cuchta, and Matt Insall

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Deformation and Coalescence of Ferrodroplets in Rosensweig Model using the Phase Field and Modified Level Set Approaches under Uniform Magnetic Fields, Feng Bai, Daozhi Han, Xiaoming He, and Xiaofeng Yang

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Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods, David Barilla, Martin Bohner, Shapour Heidarkhani, and Shahin Moradi

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Student Preclass Preparation by Both Reading the Textbook and Watching Videos Online Improves Exam Performance in a Partially Flipped Course, Kaleb Bassett, Gayla R. Olbricht, and Katie Shannon

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Sharp Oscillation Criteria for Second-Order Neutral Delay Differential Equations, Martin Bohner, Said R. Grace, and Irena Jadlovská

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Gehring Inequalities on Time Scales, Martin Bohner and S. H. Saker

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Separable Differential Operators with Parameters, Martin Bohner and Veli B. Shakhmurov

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Almost Periodic Solutions of Cohen-Grossberg Neural Networks with Time-Varying Delay and Variable Impulsive Perturbations, Martin Bohner, Gani Tr. Stamov, and Ivanka M. Stamova

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An Integrable SIS Model on Time Scales, Martin Bohner and Sabrina Streipert

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A Minimal Congruence Lattice Representation for 𝕄ₚ₊₁, Roger Bunn, David E. Grow, Matt Insall, and Philip Thiem

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Targeted Learning for the Dynamic Selection of Channel Estimation Methodology, Arul Mathi Maran Chandran, Maciej Jan Zawodniok, and Akim Adekpedjou

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Caputo Fractional Continuous Cobweb Models, Churong Chen, Martin Bohner, and Baoguo Jia

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Existence and Uniqueness of Solutions for Nonlinear Caputo Fractional Difference Equations, Churong Chen, Martin Bohner, and Baoguo Jia

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Uniquely Solvable and Energy Stable Decoupled Numerical Schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq System, Wenbin Chen, Daozhi Han, Xiaoming Wang, and Yichao Zhang

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Scattering For Defocusing Energy Subcritical Nonlinear Wave Equations, Benjamin Dodson, Andrew Lawrie, D. Mendelson, and Jason Murphy

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On the Nonlinear Stability and the Existence of Selective Decay States of 3D Quasi-Geostrophic Potential Vorticity Equation, Ogul Esen, Daozhi Han, Taylan Sengul, and Quan Wang

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Error Analysis of an Incremental Proper Orthogonal Decomposition Algorithm for PDE Simulation Data, Hiba Fareed and John R. Singler

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Analysis of a Hybridizable Discontinuous Galerkin Scheme for the Tangential Control of the Stokes System, Wei Gong, Weiwei Hu, Mariano Mateos, John R. Singler, and Yangwen Zhang

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A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows, Daozhi Han and Nan Jiang

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Dynamic Transitions and Bifurcations for Thermal Convection in the Superposed Free Flow and Porous Media, Daozhi Han, Quan Wang, and Xiaoming Wang

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New Reproducing Kernel Hilbert Spaces on Semi-Infinite Domains with Existence and Uniqueness Results for the Nonhomogeneous Telegraph Equation, Jabar S. Hassan and David E. Grow

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A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian, Shapour Heidarkhani, Martin Bohner, Giuseppe Caristi, and Farahnaz Ayazi

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An Artificial Compressibility Ensemble Algorithm for a Stochastic Stokes-Darcy Model with Random Hydraulic Conductivity and Interface Conditions, Xiaoming He, Nan Jiang, and Changxin Qiu

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Evaluation of Standard and Semantically-Augmented Distance Metrics for Neurology Patients, Daniel B. Hier, Jonathan Kopel, Steven U. Brint, Donald C. Wunsch, Gayla R. Olbricht, Sima Azizi, and Blaine Allen

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A Model-Free Conditional Screening Approach Via Sufficient Dimension Reduction, Lei Huo, Xuerong Meggie Wen, and Zhou Yu

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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