Submissions from 2024
A Quadratic Spline Projection Method For Computing Stationary Densities of Random Maps, Azzah Alshekhi, Jiu Ding, and Noah Rhee
Submissions from 2023
Solving the Yang-Baxter-Like Matrix Equation For a Rank-One Matrix, Mohammaed Ahmed Adam Abdalrahman, Jiu Ding, and Qianglian Huang
On the Selection of a Better Radial Basis Function and Its Shape Parameter In Interpolation Problems, Chuin-Shan Chen, Amir Noorizadegan, D.L. Young, and C.S. Chen
On the Determination of Locating the Source Points of the MFS Using Effective Condition Number, C.S. Chen, Amir Noorizadegan, D.L. Young, and Chuin-Shan Chen
Computing Invariant Densities of a Class of Piecewise, Zi Wang, Jiu Ding, and Noah Rhee
Submissions from 2022
Maximum Entropy Methods, Jiu Ding
Motivating and Supporting Academic Achievement in STEM Through Culturally Relevant Literacy Practices, A. Dean Franks and Anna Wan
Training RBF Neural Networks For the Solution of Elliptic Boundary Value Problems, Andreas Karageorghis and C.S. Chen
Fictitious Centre RBF Method For High Order BVPs In Multiply Connected Domains, Andreas Karageorghis, Amir Noorizadegan, and C.S. Chen
Solving Inverse Conductivity Problems In Doubly Connected Domains By the Homogenization Functions of Two Parameters, Jun Lu, Lianpeng Shi, Chein-Shan Liu, and C.S. Chen
Effective Condition Number For the Selection of the RBF Shape Parameter With the Fictitious Point Method, Amir Noorizadegan, Chuin-Shan Chen, D.L. Young, and C.S. Chen
Minimal Automorphic Superpositions of Crowns, Bernd S.W. Schröder
Set Recognition of Decomposable Graphs and Steps Towards Their Reconstruction, Bernd S.W. Schröder
Remarks On the Inverse Problem of the Collinear Central Configurations In the N-Body Problem, Zhifu Xie
Submissions from 2021
The Norm Convergence of a Least Squares Approximation Method for Random Maps, Raymond Manna Bangura, Congming Jin, and Jiu Ding
Improved Geometric Modeling Using the Method of Fundamental Solutions, C. S. Chen, Lionel Amuzu, Kwesi Acheampong, and Huiqing Zhu
RBF–DQ Algorithms for Elliptic Problems In Axisymmetric Domains, C. S. Chen, Malgorzata A. Jankowska, and Andreas Karageorghis
Kansa RBF Collocation Method With Auxiliary Boundary Centres For High Order BVPs, C. S. Chen, Andreas Karageorghis, and Lionel Amuzu
Space–Time Localized Polynomial Basis Functions For Solving Parabolic and Hyperbolic Equations, C.S. Chen, Ahmed Naji, Yanhua Cao, and Chuin Shan Chen
A Network Thermodynamic Analysis of Amyloid Aggregation Along Competing Pathways, P. Ghosh, J. Pateras, Vijay Rangachari, and A. Vaidya
A Nonuniform Anisotropic FEM for Elliptic Boundary Layer Optimal Control Problems, Hongbo Guan, Yong Yang, and Huiqing Zhu
A Note On the Immersed Finite Element Basis Functions For Elliptic Interface Problems, Hongbo Guan, Zhimin Zhang, and Huiqing Zhu
A Local Refinement Purely Meshless Scheme for Time Fractional Nonlinear Schrödinger Equation In Irregular Geometry Region, Tao Jiang, Rong Rong Jiang, Jin Jing Huang, Jiu Ding, and Jin Lian Ren
Revisiting Manne et al. (2000): A Reformulation and Alternative Interpretation Under the Modified Internal-Energy Theory of Second-Sound, Pedro M. Jordan and James V. Lambers
On the Propagation and Bifurcation of Singular Surface Shocks Under a Class of Wave Equations Based On Second-Sound Flux Models and Logistic Growth, P. M. Jordan and J. V. Lambers
The Kansa RBF Method With Auxiliary Boundary Centres For Fourth Order Boundary Value Problems, Andreas Karageorghis, Demetriana Tappoura, and C. S. Chen
On the Application of a Krylov Subspace Spectral Method to Poroacoustic Shocks In Inhomogeneous Gases, James V. Lambers and Pedro M. Jordan
Maximal Spacelike Surfaces In a Certain Homogeneous Lorentzian 3-Manifold, Sungwook Lee
Ghost Point Method Using RBfs and Polynomial Basis Functions, Zhiying Ma, Xinxiang Li, and C. S. Chen
The Fixed Point Property in the Set of All Order Relations on a Finite Set, Bernd S.W. Schröder
Providing Access By Integrating Computer Aided Design In Mathematics Teacher Education Courses, Anna Wan and Jessica Ivy
Commuting Perturbations of Operator Equations, Xue Xu and Jiu Ding
Two-Step MPS-MFS Ghost Point Method for Solving Partial Differential Equations, D. L. Young, Shin Ruei Lin, Chuin Shan Chen, and C. S. Chen
Submissions from 2020
Space–Time Polynomial Particular Solutions Method for Solving Time-Dependent Problems, Yanhua Cao, C. S. Chen, and Hui Zheng
Localized Meshless Methods based on polynomial basis functions for solving axisymmetric equations, Wanru Chang, C. S. Chen, Xiao Yan Liu, and J. Li
Localized Meshless Methods Based On Polynomial Basis Functions for Solving Axisymmetric Equations, Wanru Chang, C. S. Chen, Xiao Yan Liu, and J. Li
A Novel RBF Collocation Method Using Fictitious Centres, C. S. Chen, Andreas Karageorghis, and Fangfang Dou
Improved RBF Collocation Methods For Fourth Order Boundary Value Problems, C.S. Chen, A. Karageorghis, and Hui Zheng
The LMAPS for Solving Fourth-Order PDEs With Polynomial Basis Functions, C. S. Chen, Shu Hui Shen, Fangfang Dou, and J. Li
An Efficient Method of Approximate Particular Solutions Using Polynomial Basis Functions, Cheng Deng, Hui Zheng, Mingfu Fu, Jingang Xiong, and C. S. Chen
Solving Fourth-Order PDEs Using the LMAPS, Cheng Deng, Hui Zheng, Hui Zheng, Yan Shi, C. S. Chen, and C. S. Chen
On the Stable Perturbation and Nashed’s Condition for Generalized Inverses, Jiu Ding and Qianglian Huang
Source Nodes On Elliptic Pseudo-Boundaries In the Method of Fundamental Solutions for Laplace's Equation; Selection of Pseudo-Boundaries, Fangfang Dou, Li Ping Zhang, Zi Cai Li, and C. S. Chen
A Maximum-Entropy Meshfree Method for Computation of Invariant Measures, Tingting Fang, Hongxia Jia, Congming Jin, and Jiu Ding
The Convergence and Superconvergence of a MFEM For Elliptic Optimal Control Problems, Hongbo Guan, Yong Yang, and Huiqing Zhu
A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities, Congming Jin and Jiu Ding
Hybrid Chebyshev Polynomial Scheme For Solving Elliptic Partial Differential Equations, B. Khatri Ghimire, Xinxiang Li, C. S. Chen, and A. R. Lamichhane
The Radial Basis Function Differential Quadrature Method With Ghost Points, Ji Lin, Yuxiang Zhao, Daniel Watson, and C. S. Chen
Implicit Surface Reconstruction With Radial Basis Functions Via PDEs, Xiao Yan Liu, Hui Wang, C. S. Chen, Qing Wang, Xiaoshuang Zhou, and Yong Wang
A Dynamic F4 Algorithm To Compute Gröbner Bases, John Perry
The Automorphism Conjecture for Ordered Sets of Dimension 2 and Interval Orders, Bernd S.W. Schröder
A Localized MAPS Using Polynomial Basis Functions for the Fourth-Order Complex-Shape Plate Bending Problems, Zhuo Chao Tang, Zhuo Jia Fu, and C. S. Chen
An Efficient MAPS for Solving Fourth Order Partial Differential Equations Using Trigonometric Functions, Dan Wang, C. S. Chen, and Wen Li
The Radial Basis Function-Differential Quadrature Method for Elliptic Problems In Annular Domains, Daniel W. Watson, Andreas Karageorghis, and Ching-Shyang Chen
Central Configurations In the Planar 6-Body Problem Forming Two Equilateral Triangles, Zhifu Xie, Gokul Bhusal, and Hamas Tahir
Super Central Configurations In the Collinear 5-Body Problem, Zhifu Xie and William Johnson
Improved 3D Surface Reconstruction Via The Method of Fundamental Solutions, Hui Zheng, Feng Wang, C. S. Chen, M. Lei, and Yong Wang
A Fictitious Points One-Step MPS-MFS Technique, Xiaomin Zhu, Fangfang Dou, Andreas Karageorghis, and C. S. Chen
Submissions from 2019
All Solutions of the Yang-Baxter-Like Matrix Equation When A3 = A, Mansour Saeed Ibrahim Adam, Jiu Ding, Qianglian Huang, and Lanping Zhu
Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains, Ching-Shyang Chen and Andreas Karageorghis
Localized Method of Fundamental Solutions for Solving Two-Dimensional Laplace and Biharmonic Equations, C.M. Fan, Y.K. Huang, Ching-Shyang Chen, and S.R. Kuo
A Semi-Analytical Collocation Trefftz Scheme For Solving Multi-Term Time Fractional Diffusion-Wave Equations, Zhuojia Fu, Li-Wen Yang, Huiqing Zhu, and Wenzhi Xu
Meshless Methods For Solving Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs, Hongbo Guan, Yong Wang, and Huiqing Zhu
All Non-Commuting Solutions of the Yang-Baxter Matrix Equation for a Class of Diagonalizable Matrices, Qianglian Huang, Mansour Saeed Ibrahim Adam, Jiu Ding, and Lanping Zhu
Convergence Analysis of Projection Methods for Frobenius-Perron Operators Based On Matrix Norm Techniques, Qianglian Huang, Jiu Ding, and Noah H. Rhee
The Broucke-Hénon Orbit and the Schubart Orbit In the Planar Three-Body Problem With Two Equal Masses, Wentian Kuang, Tiancheng Ouyang, Zhifu Xie, and Duokui Yan
A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotrophic Media, Ji Lin, Sergiy Reutskiy, Ching-Shyang Chen, and Jun Lu
Diagonalization of 1-D Differential Operators With Piecewise Constant Coefficients Using the Uncertainty Principle, Sarah D. Long, Somayyeh Sheikholeslami, James V. Lambers, and Carley Walker
A Gradient Reproducing Kernel Collocation Method for High Order Differential Equations, Ashkan Mahdavi, Sheng-Wei Chi, and Huiqing Zhu
An Adaptive Method of Fundamental Solutions for Solving the Laplace Equation, Jaeyoun Oh, Huiqing Zhu, and Zhuojia Fu
The Fixed Point Property For Closed Neighborhoods of Line Segments In LP, Bernd Schroeder
Fixed Point Property for Finite Ordered Sets That Contain No Crowns With 6 or More Elements, Bernd S.W. Schroeder
The MAPS Based On Trigonometric Basis Functions For Solving Elliptic Partial Differential Equations With Variable Coefficients and Cauchy-Navier Equations, Dan Wang, Ching-Shyang Chen, C.M. Fan, and Ming Li
Data Fitting and Scenario Analysis of Vaccination in the 2014 Ebola Outbreak in Liberia, Zhifu Xie
The MAPS With Polynomial Basis Functions For Solving Axisymmetric Time-Fractional Equations, Qiang Xi, C.S. Chen, Zhuojia Fu, and Eva Comino
Solving the Yang-Baxter-Like Matrix Equation With Non-Diagonalizable Elementary Matrices, Duanmei Zhou, Guoliang Chen, Jiu Ding, and Haiyan Tian
Submissions from 2018
Solving a Class of Quadratic Matrix Equations, Mansour Saeed Ibrahim Adam, Jiu Ding, Qianglian Huang, and Lanping Zhu
Solving Fourth Order Differential Equations Using Particular Solutions of Helmholtz-Type Equations, Wanru Chang, Ching-Shyang Chen, and Wen Li
Big Data Solutions to Interpreting Complex Systems in the Environment, Hongmei Chi, Sharmini Pitter, Nan Li, and Haiyan Tian
Inverse Problem of Central Configurations in the Collinear 5-Body Problem, Candice Davis, Scott Geyer, William Johnson, and Zhifu Xie
Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices, Qixiang Dong, Jiu Ding, and Qianglian Huang
The Method of Particular Solutions for Solving Nonlinear Poisson Problems, Fangfang Dou, Yanshan Liu, and Ching-Shyang Chen
Analysis On the Method of Fundamental Solutions for Biharmonic Equations, Fangfang Dou, Zi-Cai Li, Ching-Shyang Chen, and Zhaolu Tian
Modeling the Diffusion of Heat Energy Within Composites of Homogeneous Materials Using the Uncertainty Principle, Elyse M. Garon and James V. Lambers
The Method of Brackets In Experimental Mathematics, Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor H. Moll
An Extension of the Method of Brackets: Part 1, Ivan Gonzalez, Karen T. Kohl, Lin Jiu, and Victor H. Moll
Improved Kansa RBF Method for the Solution of Nonlinear Boundary Value Problems, Malgorzata A. Jankowska, Andreas Karageorghis, and Ching-Shyang Chen
A Maximum Entropy Method for Solving the Boundary Value Problem of Second Order Ordinary Differential Equations, Congming Jin and Jiu Ding
A Piecewise Linear Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities, Congming Jin, Tulsi Upadhyay, and Jiu Ding
The Adaptive Algorithm for the Selection of Sources of the Method of Fundamental Solutions, Ji Lin, A.R. Lamichlane, Ching-Shyang Chen, and Jun Lu
Particular Solutions of Products of Helmholtz-Type Equations Using the Matern Function, Xiao-Yan Liu, Ching-Shyang Chen, Wen Li, and Ming Li
The Method of Transformed Angular Basis Function for Solving the Laplace Equation, Xinxiang Li, Jaeyoun Oh, Yong Wang, and Huiqing Zhu
A Continuum of Periodic Solutions to the Planar Four-Body Problem With Two Pairs of Equal Masses, Tiancheng Ouyang and Zhifu Xie
Modeling of First-Order Photobleaching Kinetics Using Krylov Subspace Spectral Methods, Somayyeh Sheikholeslami and James V. Lambers
Convergence Analysis of Krylov Subspace Spectral Methods for Reaction-Diffusion Equations, Somayyeh Sheikholeslami, James V. Lambers, and Carley Walker
The Method of Particular Solutions Using Trigonometric Basis Functions, Zhaolu Tian, Xinxiang Li, C.M. Fan, and Ching-Shyang Chen
Adding a New Dimension of Teaching Mathematics Educators, Anna Wan and Jessica Ivy
A High Accurate Simulation of Thin Plate Problems By Using the Method of Approximate Particular Solutions With High Order Polynomial Basis, Jingang Xiong, Pengfei Jiang, Hui Zheng, and Ching-Shyang Chen
A Quadratic Spline Least Squares Method for Computing Absolutely Continuous Invariant Measures, Duanmei Zhou, Guoliang Chen, Jiu Ding, and Noah H. Rhee
Nodal Superconvergence of the Local Discontinuous Galerkin Method for Singularly Perturbed Problems, Huiqing Zhu and Fatih Celiker