Submissions from 2021
First-Order Nonlinear Dynamic Initial Value Problems, Martin Bohner, Sanket Tikare, and Iguer Luis Domini dos Santos
Qualitative Analysis of Caputo Fractional Integro-Differential Equations with Constant Delays, Martin Bohner, Osman Tunç, and Cemil Tunç
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
A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional Pdes, John Burkardt, Yixuan Wu, and Yanzhi Zhang
Introduction, Siegfried Carl and Vy Khoi Le
Mathematical Preliminaries, Siegfried Carl and Vy Khoi Le
Multi-Valued Elliptic Variational Inequalities on Convex Sets, Siegfried Carl and Vy Khoi Le
Multi-Valued Parabolic Variational Inequalities on Convex Sets, Siegfried Carl and Vy Khoi Le
Multi-Valued Variational Equations, Siegfried Carl and Vy Khoi Le
Multi-Valued Variational Inequalities and Inclusions, Siegfried Carl and Vy Khoi Le
Multi-Valued Variational Inequalities in Unbounded Domains, Siegfried Carl and Vy Khoi Le
Multi-Valued Variational Inequalities with Convex Functionals, Siegfried Carl and Vy Khoi Le
On Systems of Parabolic Variational Inequalities with Multivalued Terms, Siegfried Carl and Vy Khoi Le
Mappings and Spaces Defined by the Function Epsilon, W. J. Charatonik and Daria Michalik
Menger Curve as Inverse Limit, W. J. Charatonik and Şahika Şahan
Conservative Unconditionally Stable Decoupled Numerical Schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq System, Wenbin Chen, Daozhi Han, Xiaoming Wang, and Yichao Zhang
A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-HilliardModel, Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, and Steven M. Wise
Dynamics of Plane Waves in the Fractional Nonlinear Schrödinger Equation with Long-Range Dispersion, Siwei Duo, Taras I. Lakoba, and Yanzhi Zhang
Wave Propagation for Reaction-Diffusion Equations on Infinite Random Trees, Wai Tong Louis Fan, Wenqing Hu, and Grigory Terlov
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
Dynamic Capability and Open-Source Strategy in the Age of Digital Transformation, Nobuyuki Fukawa, Yanzhi Zhang, and Sunil Erevelles
Second-Order, Fully Decoupled, Linearized, and Unconditionally Stable Scalar Auxiliary Variable Schemes for Cahn-Hilliard-Darcy System, Yali Gao, Xiaoming He, and Yufeng Nie
Bilinear State Systems on an Unbounded Time Scale, David E. Grow and Nick Wintz
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
On the Phase-Field Modeling of Rapid Solidification, Yijia Gu, Xiaoming He, and Daozhi Han
Scattering for the Non-Radial Energy-Critical Inhomogeneous NLS, Carlos M. Guzmán and Jason Murphy
Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow, Daozhi Han, Marco Hernandez, and Quan Wang
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
Stability and Approximation of Solutions in New Reproducing Kernel Hilbert Spaces on a Semi-Infinite Domain, Jabar S. Hassan and David E. Grow
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
Inverse Limits With Set-valued Functions Having Graphs That Are Arcs, W. (William) T. (Thomas) Ingram
Hausdorff Compactifications, Matt Insall, Peter A. Loeb, and Małgorzata Aneta Marciniak
Pattern Selection in the Schnakenberg Equations: from Normal to Anomalous Diffusion, Hatim K. Khudhair, Yanzhi Zhang, and Nobuyuki Fukawa
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
Extremal Solutions in Systems of Variational Inequalities with Multivalued Mappings, Vy Khoi Le
Efficient, Positive, And Energy Stable Schemes For Multi-D Poisson–Nernst–Planck Systems, Hailiang Liu and Wumaier Maimaitiyiming
Bivariate Barycentric Rational Interpolation Method for Two Dimensional Fractional Volterra Integral Equations, Hongyan Liu, Jin Huang, and Xiaoming He
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
Stokes-Darcy System, Small-Darcy-Number Behaviour and Related Interfacial Conditions, Wenqi Lyu and Xiaoming Wang
Testing Differentially Methylated Regions through Functional Principal Component Analysis, Mohamed Milad and Gayla R. Olbricht
Threshold Scattering for the 2D Radial Cubic-Quintic NLS, Jason Murphy
Failure of Scattering to Solitary Waves for Long-Range Nonlinear Schrödinger Equations, Jason Murphy and Kenji Nakanishi
Small Sample Inference for Exponential Survival Times with Heavy Right-Censoring, Robert L. Paige and Noroharivelo V. Randrianampy
Distributed Min-Max Learning Scheme for Neural Networks with Applications to High-Dimensional Classification, Krishnan Raghavan, Shweta Garg, Sarangapani Jagannathan, and V. A. Samaranayake
A Game Theoretic Approach for Addressing Domain-Shift in Big-Data, Krishnan Raghavan, Jagannathan Sarangapani, and V. A. Samaranayake
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
Predictive Modeling of Sports-Related Concussions using Clinical Assessment Metrics, Sujit Subhash, Tayo Obafemi-Ajayi, Dennis Goodman, Donald C. Wunsch, and Gayla R. Olbricht
Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces, Sanket Tikare, Martin Bohner, Bipan Hazarika, and Ravi P. Agarwal
Global Weak Solutions To The Navier{Stokes{Darcy{Boussinesq System For Thermal Convection In Coupled Free And Porous Media Flows, Xiaoming Wang and Hao Wu
On the Fast Convergence of Random Perturbations of the Gradient Flow, Jiaojiao Yang, Wenqing Hu, and Chris Junchi Li
A Deep Learning Model to Predict Traumatic Brain Injury Severity and Outcome from MR Images, Dacosta Yeboah, Hung Nguyen, Daniel B. Hier, Gayla R. Olbricht, and Tayo Obafemi-Ajayi
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
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
Second-Order Decoupled Energy-Stable Schemes for Cahn-Hilliard-Navier-Stokes Equations, Jia Zhao and Daozhi Han
Photoelectron Sheath and Plasma Charging on the Lunar Surface: Semianalytic Solutions and Fully-Kinetic Particle-In-Cell Simulations, Jianxun Zhao, Xinpeng Wei, Xiaoping Du, Xiaoming He, and Daoru Frank Han
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
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
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
Semiparametric Estimation with Spatially Correlated Recurrent Events, Akim Adekpedjou and Sophie Dabo-Niang
Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces, Ali Akgul and David E. Grow
Parameter Identification for Gompertz and Logistic Dynamic Equations, Elvan Akin, Neslihan Nesliye Pelen, Ismail Ugur Tiryaki, and Fusun Yalcin
On Exact Solutions to Epidemic Dynamic Models, Elvan Akin and Gülşah Yeni
Continuous and Discrete Modeling of HIV-1 Decline on Therapy, Elvan Akin, Gülşah Yeni, and Alan S. Perelson
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
Separated and State-Constrained Separated Linear Programming Problems on Time Scales, Rasheed Al-Salih and Martin Bohner
Scattering Below the Ground State for the 2d Radial Nonlinear Schrödinger Equation, Anudeep Kumar Arora, Benjamin Dodson, and Jason Murphy
Binary Metrics, Samer Assaf, Tom Cuchta, and Matt Insall
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
Existence Results for Dynamic Sturm-Liouville Boundary Value Problems Via Variational Methods, David Barilla, Martin Bohner, Shapour Heidarkhani, and Shahin Moradi
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
Sharp Oscillation Criteria for Second-Order Neutral Delay Differential Equations, Martin Bohner, Said R. Grace, and Irena Jadlovská
Gehring Inequalities on Time Scales, Martin Bohner and S. H. Saker
Separable Differential Operators with Parameters, Martin Bohner and Veli B. Shakhmurov
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
An Integrable SIS Model on Time Scales, Martin Bohner and Sabrina Streipert
A Minimal Congruence Lattice Representation for 𝕄ₚ₊₁, Roger Bunn, David E. Grow, Matt Insall, and Philip Thiem
Targeted Learning for the Dynamic Selection of Channel Estimation Methodology, Arul Mathi Maran Chandran, Maciej Jan Zawodniok, and Akim Adekpedjou
Caputo Fractional Continuous Cobweb Models, Churong Chen, Martin Bohner, and Baoguo Jia
Existence and Uniqueness of Solutions for Nonlinear Caputo Fractional Difference Equations, Churong Chen, Martin Bohner, and Baoguo Jia
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
A Stabilized Second Order Exponential Time Differencing Multistep Method for Thin Film Growth Model Without Slope Selection, Wenbin Chen, Weijia Li, Zhiwen Luo, Cheng Wang, and Xiaoming Wang
Energy Stable Higher-Order Linear ETD Multi-Step Methods for Gradient Flows: Application to Thin Film Epitaxy, Wenbin Chen, Weijia Li, Cheng Wang, Shufen Wang, and Xiaoming Wang
Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System, Wenbin Chen, Cheng Wang, Shufen Wang, Xiaoming Wang, and Steven M. Wise
Scattering For Defocusing Energy Subcritical Nonlinear Wave Equations, Benjamin Dodson, Andrew Lawrie, D. Mendelson, and Jason Murphy
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
Error Analysis of an Incremental Proper Orthogonal Decomposition Algorithm for PDE Simulation Data, Hiba Fareed and John R. Singler
Vanishing Porosity Limit of the Coupled Stokes-Brinkman System, Mingwen Fei, Dongjuan Niu, and Xiaoming Wang
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
A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows, Daozhi Han and Nan Jiang
Dynamic Transitions and Bifurcations for Thermal Convection in the Superposed Free Flow and Porous Media, Daozhi Han, Quan Wang, and Xiaoming Wang
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
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
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
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
A Model-Free Conditional Screening Approach Via Sufficient Dimension Reduction, Lei Huo, Xuerong Meggie Wen, and Zhou Yu
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
On the Long-Time Behavior of a Perturbed Conservative System with Degeneracy, Wenqing Hu
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
Invariance of White Noise for KdV on the Line, Rowan Killip, Jason Murphy, and Monica Visan
