Submissions from 2026
Fourier Series for Two-dimensional Singular-fibered Measures, Chad M. Berner, Noah G. Giddings, John E. Herr, and Palle E.T. Jorgensen
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
Existence Results for a Discrete Fractional Boundary Value Problem, David Barilla, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi
Fourier Series for Singular Measures in Higher Dimensions, Chad Berner, John E. Herr, Palle E.T. Jorgensen, and Eric S. Weber
Dynamics Beyond Bounds: (ω,c)-Periodic Functions and Their Impact on Delayed Population Models on Time Scales, Puja Bharti, Soniya Dhama, and Martin Bohner
Floquet Theory for First-order Delay Equations and an Application to Height Stabilization of a Drone’s Flight, Martin Bohner, Alexander Domoshnitsky, Oleg Kupervasser, and Alex Sitkin
Generalized Transversality Conditions For Fuzzy Quantum-symmetric Variational Problems Via Granular Approach, Martin Bohner, Ewa Girejko, Agnieszka B. Malinowska, Linh Nguyen, Baruch Schneider, and Tri Truong
Some New Hardy-Type Inequalities with Negative Parameters on Time Scales, Martin Bohner, Irena Jadlovská, and Ahmed I. Saied
Massera’s Theorem On Arbitrary Discrete Time Domains, Martin Bohner, Jaqueline G. Mesquita, and Sabrina Streipert
Well-posedness and Regularity of the Darcy-Boussinesq System in Layered Porous Media, Yining Cao, Weisheng Niu, and Xiaoming Wang
Multi-valued Variational Inequalities For Variable Exponent Double Phase Problems: Comparison And Extremality Results, Siegfried Carl, Vy Khoi Le, and Patrick Winkert
The Projective Fraïssé Limit of the Family of all Connected Finite Graphs with Confluent Epimorphisms, Wlodzimierz J. Charatonik, Aleksandra Kwiatkowska, and Robert Paul Roe
A Decoupled, Linear, Unconditionally Stable, and Fully Discrete Finite Element Scheme for Two-phase Ferrofluid Flows with Different Densities and Viscosities, Xiaoyong Chen, Rui Li, Jian Li, and Xiaoming He
Error Estimates Of Semi-implicit Numerical Scheme For A Diffuse Interface Model Of Two-phase Magnetohydrodynamic Flows, Dongmei Duan, Fuzheng Gao, Jinjin Yang, and Xiaoming He
Saddlepoint Confidence Intervals For Directly Standardized Rates, Pasan M. Edirisinghe and Robert L. Paige
Students’ Perceptions of Self And Peers Predict Self-Reports of Cheating, Amber M. Henslee, Luke Settles, Sara E. Johnson, and Gayla R. Olbricht
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
A Two-grid Characteristic Finite Element Method for Incompressible Flow, Yu Jiang, Junchang Qin, and Xiaoming He
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
Ceno: Non-uniform, Segment and Parallel Zero-Knowledge Virtual Machine, Tianyi Liu, Zhenfei Zhang, Yuncong Zhang, Wenqing Hu, and Ye Zhang
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
Variational Data Assimilation with Finite-element Discretization for Second-order Parabolic Interface Equation, Xuejian Li, Xiaoming He, Wei Gong, and Craig C. Douglas
Novel Statistical and Topological Data Analyses of 2D Electronic Images, Robert L. Paige and Vic Patrangenaru
Variable Selection in Mixture Cure Models using Elastic Net Penalty: Application to COVID-19 Data, Aluwani Ramalata, Akim Adekpedjou, and Maseka Lesaoana
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
A Personalized and Adaptive Distribution Classification of Actigraphy Segments into Sleep-Wake States, Austin G. Vandegriffe, V. A. Samaranayake, and Matthew S. Thimgan
A Mass and Charge Conservative Fully Discrete Scheme for a 3D Diffuse Interface Model of the Two-phase Inductionless MHD Flows, Xiaorong Wang, Xuerui Mao, Shipeng Mao, and Xiaoming He
Convolutional Neural Network-based Reduced-order Modeling For Parametric Nonlocal PDEs, Yumeng Wang, Shiping Zhou, and Yanzhi Zhang
A Selective Discontinuous Galerkin Implicit Particle-in-cell Method For Plasma Simulation With Improved Interpolation, Siyu Wu, Yang Li, Hongtao Liu, Xiaoming He, and Yong Cao
Unconditionally Optimal Convergent Zero-Energy-Contribution Scheme for Two Phase MHD Model, Jinjin Yang, Shipeng Mao, and Xiaoming He
Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang
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
Energy-Stable and Efficient Finite Element Schemes for the Shliomis Model of Ferrofluid Flows, Guo Dong Zhang, Kejia Pan, Xiaoming He, and Xiaofeng Yang
Green's Function Representation and Numerical Approximation of the Two-dimensional Stochastic Stokes Equation, Jie Zhu, Yujun Zhu, Ju Ming, and Xiaoming He
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
Frame-Like Fourier Expansions for Finite Borel Measures on R, Chad Berner
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