Submissions from 2021
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
Scattering for the Cubic-Quintic Nls: Crossing the Virial Threshold, Rowan Killip, Jason Murphy, and Monica Visan
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
Estimating Average Treatment Effect on the Treated Via Sufficient Dimension Reduction, Lu Li, Wei Luo, Xuerong Meggie Wen, and Zhou Yu
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
Scattering for the Non-radial Inhomogeneous NLS, Changxing Miao, Jason Murphy, and Jiqiang Zheng
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
Adaptive Kriging Method for Uncertainty Quantification of the Photoelectron Sheath and Dust Levitation on the Lunar Surface, Xinpeng Wei, Jianxun Zhao, Xiaoming He, Zhen Hu, Xiaoping Du, and Daoru Han
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
Predicting Lifespan of Drosophila Melanogaster: A Novel Application of Convolutional Neural Networks and Zero-inflated Autoregressive Conditional Poisson Model, Yi Zhang, V. A. Samaranayake, Gayla R. Olbricht, and Matthew S. Thimgan
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
Hereditarily Irreducible Maps, Hussam Abobaker and Włodzimierz J. Charatonik
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
On Weak Rigidity and Weakly Mixing Enveloping Semigroups, Ethan Akin, Eli Glasne, and Benjamin Weiss
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
Petrović -Type Inequalities for Harmonic Convex Functions on Coordinates, Imran Abbas Baloch, Martin Bohner, and Manuel De La SEN
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
Existence and Multiplicity of Weak Solutions for a Neumann Elliptic Problem with -Laplacian, Martin Bohner, Giuseppe Caristi, Fariba Gharehgazlouei, and Shapour Heidarkhani
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
Inverse Limits and Atomic Projections, Włodzimierz J. Charatonik, Faruq A. Mena, and Robert Paul Roe
Open Diameters on Graphs, Włodzimierz J. Charatonik, Robert Paul Roe, and Ismail Uğur Tiryaki
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
Direct Error-Driven Learning for Deep Neural Networks with Applications to Big Data, R. Krishnan, S. Jagannathan, and V. A. Samaranayake
Direct Error Driven Learning for Classification in Applications Generating Big-Data, R. Krishnan, Jagannathan Sarangapani, and V. A. Samaranayake
On Variational Inequalities with Multivalued Perturbing Terms Depending on Gradients, Vy Khoi Le
Rejoinder on ‘A Selective overview of Sparse Sufficient Dimension Reduction’, Lu Li, Xuewong Meggie Wen, and Zhou Yu
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
Positive And Free Energy Satisfying Schemes For Diffusion With Interaction Potentials, Hailiang Liu and Wumaier Maimaitiyiming
Unconditional positivity-preserving and energy stable schemes for a reduced poisson-nernst-planck system, Hailiang Liu and Wumaier Maimaitiyiming
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
New Proper Orthogonal Decomposition Approximation Theory for PDE Solution Data, Sarah Locke and John R. Singler
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
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
Stability of Small Solitary Waves for the One-Dimensional Nls with an Attractive Delta Potential, Satoshi Masaki, Jason Murphy, and Jun Ichi Segata
The Energy-Critical Nonlinear Wave Equation with an Inverse-Square Potential, Changxing Miao, Jason Murphy, and Jiqiang Zheng
Numerical Simulations for the Energy-Supercritical Nonlinear Wave Equation, Jason Murphy and Yanzhi Zhang
Statistical Comparative Analysis and Evaluation of Validation Indices for Clustering Optimization, Thy Nguyen, Jason Viehman, Dacosta Yeboah, Gayla R. Olbricht, and Tayo Obafemi-Ajayi
Impulsive Synchronization of Time-Scales Complex Networks with Time-Varying Topology, Yong Pei, Martin Bohner, and Dechang Pi
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
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
