Submissions from 2020
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
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
A General Class of Additive Semiparametric Models for Recurrent Event Data, Russell Stocker and Akim Adekpedjou
On the Noisy Gradient Descent that Generalizes as SGD, Jingfeng Wu, Wenqing Hu, Haoyi Xiong, Jun Huan, Vladimir Braverman, and Zhanxing Zhu
A Generalized Finite Difference Method for Solving Elliptic Interface Problems, Yanan Xing, Lina Song, Xiaoming He, and Changxin Qiu
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
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
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
Control of Wheeled Mobile Robots on Time Scales, Elvan Akin, Haci Guzey, and Ozkan Ozturk
On Nonoscillatory Solutions of Three Dimensional Time-Scale Systems, Elvan Akin, Taher Hassan, Ozkan Ozturk, and Ismail U. Tiryaki
On Volterra-Integro Dynamical Systems On Time Scales, Elvan Akin and Ozkan Ozturk
Computational Learning Approaches to Data Analytics in Biomedical Applications, First Edition, Khalid Al-Jabery, Tayo Obafemi-Ajayi, Gayla Olbricht, and Donald C. Wunsch
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
Robustness of Finite-Time Distributed Control Algorithm with Time Transformation, Ehsan Arabi, Tansel Yucelen, and John R. Singler
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
Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi
Spectral Analysis of an Impulsive Quantum Difference Operator, Martin Bohner and Serifenur Cebesoy
Periodic Solutions of Linear, Riccati, and Abel Dynamic Equations, Martin Bohner, Armengol Gasull, and Claudia Valls
Asymptotic Behavior of Solutions of Forced Third-Order Dynamic Equations, Martin Bohner, Said R. Grace, and Irena Jadlovska
Dynamic Cobweb Models with Conformable Fractional Derivatives, Martin Bohner and Veysel Fuat Hatipoglu
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
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
Extremal Solutions of Multi-Valued Variational Inequalities in Plane Exterior Domains, Siegfried Carl and Vy Khoi Le
Hyperspaces of Generalized Continua which Are Infinite Cylinders, W. J. Charatonik, Tomas Fernandez-Bayort, and Antonio Quintero
Local Connectedness of Inverse Limits, W. J. Charatonik and Faruq A. Mena
Method of Upper and Lower Solutions for Nonlinear Caputo Fractional Difference Equations and its Applications, Churong Chen, Martin Bohner, and Baoguo Jia
Ulam-Hyers Stability of Caputo Fractional Difference Equations, Churong Chen, Martin Bohner, and Baoguo Jia
Superconvergent Interpolatory HDG Methods for Reaction Diffusion Equations I: An HDG K Method, Gang Chen, Bernardo Cockburn, John R. Singler, and Yangwen Zhang
A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs, Gang Chen, Guosheng Fu, John R. Singler, and Yangwen Zhang
An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs, Gang Chen, John R. Singler, and Yangwen Zhang
Positivity-Preserving, Energy Stable Numerical Schemes for the Cahn-Hilliard Equation with Logarithmic Potential, Wenbin Chen, Cheng Wang, Xiaoming Wang, and Steven M. Wise
A Second Order BDF Numerical Scheme with Variable Steps for the Cahn-Hilliard Equation, Wenbin Chen, Xiaoming Wang, Yue Yan, and Zhuying Zhang
Interpolatory HDG Method for Parabolic Semilinear PDEs, Bernardo Cockburn, John R. Singler, and Yangwen Zhang
A Dynamic Matrix Exponential Via a Matrix Cylinder Transformation, Tom Cuchta, David E. Grow, and Nick Wintz
A Comparative Study on Nonlocal Diffusion Operators Related to the Fractional Laplacian, Siwei Duo, Hong Wang, and Yanzhi Zhang
Accurate Numerical Methods for Two and Three Dimensional Integral Fractional Laplacian with Applications, Siwei Duo and Yanzhi Zhang
Numerical Approximations for the Tempered Fractional Laplacian: Error Analysis and Applications, Siwei Duo and Yanzhi Zhang
A Note on Incremental POD Algorithms for Continuous Time Data, Hiba Fareed and John R. Singler
On Corrected Phase-Type Approximations of the Time Value of Ruin with Heavy Tails, Daniel J. Geiger and Akim Adekpedjou
A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems, Max Gunzburger, Nan Jiang, and Z. Wang
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
Dynamic Bifurcation and Transition in the Rayleigh-Bénard Convection with Internal Heating and Varying Gravity, Daozhi Han, Marco Hernandez, and Quan Wang
On the Instabilities and Transitions of the Western Boundary Current, Daozhi Han, Marco Hernandez, and Quan Wang
Extensions of Schauder's and Darbo's Fixed Point Theorems, Zhaocai Hao, Martin Bohner, and Junjun Wang
Chapter 1: Finite Elements for 1D second order elliptic equation, Xiaoming He
Chapter 2: 2D/3D Finite Element Spaces, Xiaoming He
Chapter 3: Finite Elements for 2D second order elliptic equation, Xiaoming He
Efficient Smooth Non-Convex Stochastic Compositional Optimization via Stochastic Recursive Gradient Descent, Wenqing Hu, Chris Junchi Li, Xiangru Lian, Ji Liu, and Huizhuo Yuan
On the Global Convergence of Continuous-Time Stochastic Heavy-Ball Method for Nonconvex Optimization, Wenqing Hu, Chris Junchi Li, and Xiang Zhou
Large Deviations and Averaging for Systems of Slow-Fast Stochastic Reaction-Diffusion Equations, Wenqing Hu, Michael Salins, and Konstantinos Spiliopoulos
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
Real-Time Frequency Regulation using Aggregated Electric Vehicles in Smart Grid, Md. Monirul Islam, Xiao Zhong, Zeyi Sun, Haoyi Xiong, and Wenqing Hu
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
A Pressure-Correction Ensemble Scheme for Computing Evolutionary Boussinesq Equations, Nan Jiang
An Efficient Ensemble Algorithm for Numerical Approximation of Stochastic Stokes–Darcy Equations, Nan Jiang and Changxin Qiu
A Multi-Step Approach to Modeling the 24-Hour Daily Profiles of Electricity Load using Daily Splines, Abdelmonaem Jornaz and V. A. Samaranayake
The Radial Mass-Subcritical NLS in Negative Order Sobolev Spaces, Rowan Killip, Satoshi Masaki, Jason Murphy, and Monica Visan
Almost Sure Scattering for the Energy-Critical NLS with Radial Data Below H¹(ℝ⁴), Rowan Killip, Jason Murphy, and Monica Visan
A Hierarchical Dimension Reduction Approach for Big Data with Application to Fault Diagnostics, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani
A Multi-Step Nonlinear Dimension-Reduction Approach with Applications to Big Data, R. Krishnan, V. A. Samaranayake, and Jagannathan Sarangapani
On the Existence of Solutions of Variational Inequalities in Nonreflexive Banach Spaces, Vy Khoi Le
On the Solvability of Inclusions with Multivalued Compact Perturbations of Bi-Mappings, Vy Khoi Le
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
New Solution to the Pressure Transient Equation in a Two-Layer Reservoir with Crossflow, Jing Lu, Botao Zhou, Md. Motiur Rahman, and Xiaoming He
Convection in a Coupled Free Flow-Porous Media System, Matthew McCurdy, Nicholas Moore, and Xiaoming Wang
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
A Course in Harmonic Analysis, Jason Murphy
Random Data Final-State Problem for the Mass-Subcritical NLS in L², Jason Murphy
Challenges in Topological Object Data Analysis, Vic Patrangenaru, Peter Bubenik, Robert L. Paige, and Daniel Osborne
A Nonparametric Approach to 3D Shape Analysis from Digital Camera Images -- II, Mingfei Qiu, Robert L. Paige, and Vic Patrangenaru
HDG-POD Reduced Order Model of the Heat Equation, Jiguang Shen, John R. Singler, and Yangwen Zhang
Three-Dimensional Rotation of Paramagnetic and Ferromagnetic Prolate Spheroids in Simple Shear and Uniform Magnetic Field, Christopher A. Sobecki, Yanzhi Zhang, and Cheng Wang
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
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
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
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
Convergence Analysis of an Unconditionally Energy Stable Projection Scheme for Magneto-Hydrodynamic Equations, Xiaofeng Yang, Guo-Dong Zhang, and Xiaoming He
A Khmaladze-Transformed Test of Fit with ML Estimation in the Presence of Recurrent Events, K. D. Zamba and Akim Adekpedjou
A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations, Guo-Dong Zhang, Xiaoming He, and Xiaofeng Yang
An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs, X. Zhang, Y. Zhang, and John R. Singler
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
Spacelike Curves in the Lightlike Cone, Nemat Abazari, Martin Bohner, Ilgin Sager, and Alizera Sedaghatdoost
Confidence Bands for Quantiles As a Function of Covariates in Recurrent Event Models, Akim Adekpedjou, Gayla R. Olbricht, and Gideon K. D. Zamba
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
Approximation Degree of Durrmeyer-Bézier Type Operators, Purshottam N. Agrawal, Serkan Araci, Martin Bohner, and Kumari Lipi
Mini Review: A Note on Nonoscillatory Solutions for Higher Dimensional Time Scale Systems, Elvan Akin, Ozkan Ozturk, Ismail Ugur Tiryaki, and Gulsah Yeni
Oscillation Criteria for Four-Dimensional Time-Scale Systems, Elvan Akin and Gulsah Yeni
Linear Programming Problems on Time Scales, Rasheed Al-Salih and Martin Bohner
