Submissions from 2025
Estimation And Model Misspecification For Recurrent Event Data With Covariates Under Measurement Errors, Ravinath Alahakoon, Gideon K.D. Zamba, Xuerong Meggie Wen, and Akim Adekpedjou
On the Sharpness of a Korn’s Inequality for Piecewise H1 Space and its Applications, Qingguo Hong, Young Ju Lee, and Jinchao Xu
A New Proper Orthogonal Decomposition Method with Second Difference Quotients for the Wave Equation, Andrew Janes and John R. Singler
Investigation Of Dynamic Adsorption And Desorption Of Polymer Nanogel In Porous Media Through Microfluidics, Junchen Liu, Fuqiao Bai, Abdulaziz A. Almakimi, Mingzhen Wei, Xiaoming He, Ibnelwaleed A. Hussein, and Baojun Bai
Stabilizer-free Weak Galerkin Method and its Optimal L² Error Estimates for the Time-dependent Poisson—Nernst–Planck Problem, Wenjuan Li, Fuzheng Gao, and Xiaoming He
Granular Fuzzy Calculus on Time Scales and its Applications to Fuzzy Dynamic Equations, Tri Truong, Martin Bohner, Ewa Girejko, Agnieszka B. Malinowska, and Ngo Van Hoa
Efficient Fully Discrete and Decoupled Scheme with Unconditional Energy Stability and Second-order Accuracy for Micropolar Navier–Stokes Equations, Guo Dong Zhang, Yunqing Huang, Xiaoming He, and Xiaofeng Yang
Submissions from 2024
OPEN DIAMETER MAPS ON SUSPENSIONS, Hussam Abobaker, Włodzimierz J. Charatonik, and Robert Paul Roe
A High-Order Multi-Resolution Wavelet Method for Nonlinear Systems of Differential Equations, Muhammad Ahsan, Weidong Lei, Martin Bohner, and Amir Ali Khan
The Multi-resolution Haar Wavelets Collocation Procedure for Fractional Riccati Equations, Muhammad Ahsan, Weidong Lei, Amir Ali Khan, and Martin Bohner
A Time Scale Approach for Analyzing Pathogenesis of Atl Development Associated with Htlv-1 Infection, Elvan Akın and Neslihan Nesliye Pelen
Differential Methylation Region Detection Via an Array-Adaptive Normalized Kernelweighted Model, Daniel Alhassan, Gayla R. Olbricht, and Akim Adekpedjou
On a Fully Coupled Nonlocal Multipoint Boundary Value Problem for a Dual Hybrid System of Nonlinear Q -Fractional Differential Equations, Ahmed Alsaedi, Martin Bohner, Bashir Ahmad, and Boshra Alharbi
The Cubic-Quintic Nonlinear Schrödinger Equation with Inverse-Square Potential, Alex H. Ardila and Jason Murphy
Cfirm: An Integrated Code Package for the Low-Temperature Plasma Simulation on Structured Grids, Jinwei Bai, Hongtao Liu, Xiaoming He, Wei Jiang, and Yong Cao
Fractional P-Laplacian Elliptic Dirichlet Problems, David Barilla, Martin Bohner, Giuseppe Caristi, Fariba Gharehgazlouei, and Shapour Heidarkhani
Three Solutions for a Discrete Fourth-Order Boundary Value Problem with Three Parameters, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi
Critical Point Approaches to Nonlinear Square Root Laplacian Equations, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Amjad Salari
Existence of Solutions by Coincidence Degree Theory for Hadamard Fractional Differential Equations at Resonance, Martin Bohner, Alexander Domoshnitsky, Seshadev Padhi, and Satyam Narayan Srivastava
A Lemma on C0-semigroups on Time Scales and Approximate Controllability of the Heat Dynamic Equation, Martin Bohner, Cosme Duque, Hugo Leiva, and Zoraida Sivoli
THE UNCERTAIN MALTHUSIAN MODEL on TIME SCALES, Martin Bohner, Ewa Girejko, Agnieszka B. Malinowska, and Tri Truong
Lipschitz Stability for Impulsive Riemann–liouville Fractional Differential Equations, Martin Bohner and Snezhana Hristova
Generalized Periodicity and Applications to Logistic Growth, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert
Integral Manifolds for Impulsive HCV Conformable Neural Network Models, Martin Bohner, Ivanka Stamova, Gani Stamov, and Cvetelina Spirova
EXISTENCE of SOLUTIONS for NONLINEAR IMPULSIVE MULTIPLE RETARDED DIFFERENTIAL and IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS of SECOND ORDER, Martin Bohner, Osman Tunç, and Cemil Tunç
L∞ Bounds for Transient Growth in Repetitive and Iterative Learning Control Systems, Douglas A. Bristow and John R. Singler
Recovery of the Nonlinearity from the Modified Scattering Map, Gong Chen and Jason Murphy
STABILITY ESTIMATES FOR THE RECOVERY OF THE NONLINEARITY FROM SCATTERING DATA, Gong Chen and Jason Murphy
Efficient Mini-Batch Stochastic Gradient Descent with Centroidal Voronoi Tessellation for Pde-Constrained Optimization under Uncertainty, Liuhong Chen, Meixin Xiong, Ju Ming, and Xiaoming He
A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential, Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, and Xiaoming Wang
Convergence Analysis of a Second Order Numerical Scheme for the Flory–Huggins–Cahn–Hilliard–Navier–Stokes System, Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, and Xiaoming Wang
Optimal Error Estimates of a Second-order Fully Decoupled Finite Element Method for the Nonstationary Generalized Boussinesq Model, Qianqian Ding, Yuanyuan Hou, and Xiaoming He
Phase-Field Model Of Strain Effect On Superconducting Transitions And Mesoscale Pattern Formation, Daniel Fortino, Qingguo Hong, Limin Ma, Jinchao Xu, and Long Qing Chen
A Second-Order, Mass-Conservative, Unconditionally Stable and Bound-Preserving Finite Element Method for the Quasi-Incompressible Cahn-Hilliard-Darcy System, Yali Gao, Daozhi Han, and Xiaoming Wang
A Fully Decoupled Numerical Method for Cahn–Hilliard–Navier–Stokes–Darcy Equations based on Auxiliary Variable Approaches, Yali Gao, Rui Li, Xiaoming He, and Yanping Lin
Development of PIFE-PIC-ESP: Parallel Immersed Finite Element Particle-In-Cell for ElectroSpray Propulsion, Daoru Han, Guy E. Brawley, and Xiaoming He
Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons, Wenrui Hao, Qingguo Hong, and Xianlin Jin
Multiple Imputation For Robust Cluster Analysis To Address Missingness In Medical Data, Arnold Harder, Gayla R. Olbricht, Godwin Ekuma, Daniel B. Hier, and Tayo Obafemi-Ajayi
TRANSMISSION OF FAST SOLITONS FOR THE NLS WITH AN EXTERNAL POTENTIAL, Christopher C. Hogan and Jason Murphy
Multivalued Variational Inequalities with Generalized Fractional Φ-Laplacians, Vy Khoi Le
On A Multivalued Prescribed Mean Curvature Problem And Inclusions Defined On Dual Spaces, Vy Khoi Le
VARIATIONAL DATA ASSIMILATION and its DECOUPLED ITERATIVE NUMERICAL ALGORITHMS for STOKES-DARCY MODEL, Xuejian Li, Wei Gong, Xiaoming He, and Tao Lin
Small Darcy Number Limit Of The Navier-Stokes-Darcy System, Wenqi Lyu and Xiaoming Wang
Global Dynamics Below Excited Solitons for the Non-Radial NLS with Potential, Satoshi Masaki, Jason Murphy, and Jun Ichi Segata
Maximum Likelihood Estimation for Generalized Inflated Power Series Distributions, Robert L. Paige
Statistical Modeling of Right-Censored Spatial Data using Gaussian Random Fields, Fathima Z. Sainul Abdeen, Akim Adekpedjou, and Sophie Dabo Niang
Bad Stats: A Regular Series Exploring Slip-Ups, Snafus and Salutary Lessons from the World of Statistics: The Wakefield Study and the Autism Debate, V. A. Samaranayake
The Challenger Disaster: A Major Malfunction of Statistical Reasoning, V. A. Samaranayake
Mesenchymal Stem Cells in Autoimmune Disease: A Systematic Review and Meta-analysis of Pre-clinical Studies, Hailey N. Swain, Parker D. Boyce, Bradley A. Bromet, Kaiden Barozinksy, Lacy Hance, Dakota Shields, Gayla R. Olbricht, and Julie A. Semon
Thermal Performance Of Forced Convection Of Water- NEPCM Nanofluid Over A Semi-Cylinder Heat Source, Xiaoming Wang, Rassol H. Rasheed, Babak Keivani, Dheyaa J. Jasim, Abbas J. Sultan, Sajad Hamedi, Hamed Kazemi-Varnamkhasti, Soheil Salahshour, and Davood Toghraie
PARAMETRIC MODEL REDUCTION with CONVOLUTIONAL NEURAL NETWORKS, Yumeng Wang, Shiping Zhou, and Yanzhi Zhang
An Immersed Selective Discontinuous Galerkin Method In Particle-in-cell Simulation With Adaptive Cartesian Mesh And Polynomial Preserving Recovery, Siyu Wu, Jinwei Bai, Xiaoming He, Ren Zhao, and Yong Cao
Variable-Order Fractional Laplacian And Its Accurate And Efficient Computations With Meshfree Methods, Yixuan Wu and Yanzhi Zhang
Time Scale Theory On Stability Of Explicit And Implicit Discrete Epidemic Models: Applications To Swine Flu Outbreak, Gülşah Yeni, Elvan Akın, and Naveen K. Vaidya
A New Reduced Basis Method for Parabolic Equations based on Single-Eigenvalue Acceleration, Qijia Zhai, Qingguo Hong, and Xiaoping Xie
Cell-Average based Neural Network Method for Hunter-Saxton Equations, Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, and Xiaoming He
A UNIFIED FRAMEWORK of the SAV-ZEC METHOD for a MASS-CONSERVED ALLEN-CAHN TYPE TWO-PHASE FERROFLUID FLOW MODEL, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang
Multiple and Nonexistence of Positive Solutions for a Class of Fractional Differential Equations with P-Laplacian Operator, Haoran Zhang, Zhaocai Hao, and Martin Bohner
A Novel and Simple Spectral Method for Nonlocal Pdes with the Fractional Laplacian, Shiping Zhou and Yanzhi Zhang
Submissions from 2023
RANK-BASED INFERENCE FOR SURVEY SAMPLING DATA, Akim Adekpedjou and Huybrechts F. Bindele
A Haar Wavelet Multi-Resolution Collocation Method for Singularly Perturbed Differential Equations with Integral Boundary Conditions, Muhammad Ahsan, Martin Bohner, Aizaz Ullah, Amir Ali Khan, and Sheraz Ahmad
Fractal Newton Methods, Ali Akgül and David E. Grow
A Logarithm On Time Scales And Its Uses, Douglas R. Anderson, Martin Bohner, and Guo Cheng Wu
Threshold Solutions For The 3d Cubic-quintic NLS, Alex H. Ardila and Jason Murphy
WEIGHTED DYNAMIC ESTIMATES FOR CONVEX AND SUBHARMONIC FUNCTIONS ON TIME SCALES, Hira Ashraf Baig, Martin Bohner, Naveed Ahmad, and Muhammed Shoaib Saleem
Dynamic Equations, Control Problems On Time Scales, And Chaotic Systems, Martin Bohner
POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES, Martin Bohner, Hüseyin Budak, and Hasan Kara
Three Solutions For Discrete Anisotropic Kirchhoff-type Problems, Martin Bohner, Giuseppe Caristi, Ahmad Ghobadi, and Shapour Heidarkhani
Uniqueness For An Inverse Quantum-Dirac Problem With Given Weyl Function, Martin Bohner and Ayça Çetinkaya
Vallée-Poussin Theorem for Hadamard Fractional Functional Differential Equations, Martin Bohner, Alexander Domoshnitsky, Elena Litsyn, Seshadev Padhi, and Satyam Narayan Srivastava
Vallée-Poussin Theorem For Equations With Caputo Fractional Derivative, Martin Bohner, Alexander Domoshnitsky, Seshadev Padhi, and Satyam Narayan Srivastava
OSCILLATION of SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS, Martin Bohner, Hassan El-Morshedy, Said Grace, and Irena Jadlovská
Inequalities For Interval-valued Riemann Diamond-alpha Integrals, Martin Bohner, Linh Nguyen, Baruch Schneider, and Tri Truong
On H-Manifolds Stability for Impulsive Delayed SIR Epidemic Models, Martin Bohner, Gani Stamov, Ivanka Stamova, and Cvetelina Spirova
On The Fundamental Qualitative Properties Of Integro-delay Differential Equations, Martin Bohner, Osman Tunç, and Erdal Korkmaz
Optical Characterization of Boron Carbide Powders Synthesized with Varying B-To-C Ratios, Harlan J. Brown-Shaklee, Eric W. Neuman, William Fahrenholtz, and Gregory E. Hilmas
THRESHOLD SOLUTIONS FOR THE INTERCRITICAL INHOMOGENEOUS NLS, Luccas Campos and Jason Murphy
Averaging For The 2 D Dispersion-managed NLS, Luccas Campos, Jason Murphy, and Tim Van Hoose
The Infinite Schmidt Number Limit of the Salt Fingering Convection Model and the Inertial Free Salt Convection Model, Yining Cao, Xiaoming Wang, and Jin Han Xie
Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions, Siegfried Carl and Vy Khoi Le
Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations, John Carter, Daozhi Han, and Nan Jiang
Metrizable Subspaces of Representation Spaces, Włodzimierz J. Charatonik, Matt Insall, and Daria Michalik
Metrizable Subspaces of Representation Spaces, Włodzimierz J. Charatonik, Matt Insall, and Daria Michalik
A New Global Divergence Free and Pressure-Robust Hdg Method for Tangential Boundary Control of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang
A New Global Divergence Free and Pressure-Robust Hdg Method for Tangential Boundary Control of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang
ON the SUPERCONVERGENCE of a HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD for the CAHN-HILLIARD EQUATION, Gang Chen, Daozhi Han, John R. Singler, and Yangwen Zhang
Discrete Matrix Hypergeometric Functions, Tom Cuchta, David E. Grow, and Nick Wintz
Discrete Matrix Hypergeometric Functions, Tom Cuchta, David E. Grow, and Nick Wintz
Error Analysis of a Fully Discrete Projection Method for Magnetohydrodynamic System, Qianqian Ding, Xiaoming He, Xiaonian Long, and Shipeng Mao
Error Analysis of a Fully Discrete Projection Method for Magnetohydrodynamic System, Qianqian Ding, Xiaoming He, Xiaonian Long, and Shipeng Mao
A New Approach to Proper Orthogonal Decomposition with Difference Quotients, Sarah Locke Eskew and John R. Singler
Network Structures and the Properties of Na-Ca-Sr-Borophosphate Glasses, Parker T. Freudenberger, Rebekah L. Blatt, Randall E. Youngman, and Richard K. Brow
Fully Decoupled Energy-stable Numerical Schemes For Two-phase Coupled Porous Media And Free Flow With Different Densities And Viscosities, Yali Gao, Xiaoming He, Tao Lin, and Yanping Lin
Trilinear Immersed-Finite-Element Method For Three-Dimensional Anisotropic Interface Problems In Plasma Thrusters, Yajie Han, Guangqing Xia, Chang Lu, and Xiaoming He
Recovery of a Cubic Nonlinearity for the Nonlinear Schrödinger Equation, Christopher C. Hogan, Jason Murphy, and David E. Grow
Characterization of Virgin, Re-Used, and Oxygen-Reduced Copper Powders Processed by the Plasma Spheroidization Process, M. Hossein Sehhat, David Perez-Palomino, Connor Wiedemeier, Tristan Cullom, and Joseph William Newkirk
Modeling and a Domain Decomposition Method with Finite Element Discretization for Coupled Dual-Porosity Flow and Navier–Stokes Flow, Jiangyong Hou, Dan Hu, Xuejian Li, and Xiaoming He
THE SCATTERING MAP DETERMINES THE NONLINEARITY, Rowan Killip, Jason Murphy, and Monica Visan
On Variational Inequalities on Exterior Domains with Multivalued Convection Terms, Vy Khoi Le
On Variational Inequalities on Exterior Domains with Multivalued Convection Terms, Vy Khoi Le