Follow

Submissions from 2020

Link

Space–Time Polynomial Particular Solutions Method for Solving Time-Dependent Problems, Yanhua Cao, C. S. Chen, and Hui Zheng

Link

Localized Meshless Methods Based On Polynomial Basis Functions for Solving Axisymmetric Equations, Wanru Chang, C. S. Chen, Xiao Yan Liu, and J. Li

Link

A Novel RBF Collocation Method Using Fictitious Centres, C. S. Chen, Andreas Karageorghis, and Fangfang Dou

Link

The LMAPS for Solving Fourth-Order PDEs With Polynomial Basis Functions, C. S. Chen, Shu Hui Shen, Fangfang Dou, and J. Li

Link

An Efficient Method of Approximate Particular Solutions Using Polynomial Basis Functions, Cheng Deng, Hui Zheng, Mingfu Fu, Jingang Xiong, and C. S. Chen

Link

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

Link

The Convergence and Superconvergence of a MFEM For Elliptic Optimal Control Problems, Hongbo Guan, Yong Yang, and Huiqing Zhu

Link

A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities, Congming Jin and Jiu Ding

Link

The Radial Basis Function Differential Quadrature Method With Ghost Points, Ji Lin, Yuxiang Zhao, Daniel Watson, and C. S. Chen

Link

Implicit Surface Reconstruction With Radial Basis Functions Via PDEs, Xiao Yan Liu, Hui Wang, C. S. Chen, Qing Wang, Xiaoshuang Zhou, and Yong Wang

Link

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

Link

An Efficient MAPS for Solving Fourth Order Partial Differential Equations Using Trigonometric Functions, Dan Wang, C. S. Chen, and Wen Li

Link

The Radial Basis Function-Differential Quadrature Method for Elliptic Problems In Annular Domains, Daniel W. Watson, Andreas Karageorghis, and Ching-Shyang Chen

Link

Central Configurations In the Planar 6-Body Problem Forming Two Equilateral Triangles, Zhifu Xie, Gokul Bhusal, and Hamas Tahir

PDF

A Fictitious Points One-Step MPS-MFS Technique, Xiaomin Zhu, Fangfang Dou, Andreas Karageorghis, and C. S. Chen

Submissions from 2019

Link

All Solutions of the Yang-Baxter-Like Matrix Equation When A3 = A, Mansour Saeed Ibrahim Adam, Jiu Ding, Qianglain Huang, and Lanping Zhu

Link

Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains, Ching-Shyang Chen and Andreas Karageorghis

Link

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

Link

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

Link

Meshless Methods For Solving Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs, Hongbo Guan, Yong Wang, and Huiqing Zhu

Link

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

Link

Convergence Analysis of Projection Methods for Frobenius-Perron Operators Based On Matrix Norm Techniques, Qianglian Huang, Jiu Ding, and Noah H. Rhee

Link

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

Link

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

PDF

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

Link

A Gradient Reproducing Kernel Collocation Method for High Order Differential Equations, Ashkan Mahdavi, Sheng-Wei Chi, and Huiqing Zhu

Link

An Adaptive Method of Fundamental Solutions for Solving the Laplace Equation, Jaeyoun Oh, Huiqing Zhu, and Zhuojia Fu

Link

The Fixed Point Property For Closed Neighborhoods of Line Segments In LP, Bernd Schroeder

Link

Fixed Point Property for Finite Ordered Sets That Contain No Crowns With 6 or More Elements, Bernd S.W. Schroeder

Link

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

Link

Data Fitting and Scenario Analysis of Vaccination in the 2014 Ebola Outbreak in Liberia, Zhifu Xie

Link

The MAPS With Polynomial Basis Functions For Solving Axisymmetric Time-Fractional Equations, Qiang Xi, C.S. Chen, Zhuojia Fu, and Eva Comino

Link

Solving the Yang-Baxter-Like Matrix Equation With Non-Diagonalizable Elementary Matrices, Duanmei Zhou, Guoliang Chen, Jiu Ding, and Haiyan Tian

Submissions from 2018

Link

Solving a Class of Quadratic Matrix Equations, Mansour Saeed Ibrahim Adam, Jiu Ding, Qianglian Huang, and Lanping Zhu

Link

Solving Fourth Order Differential Equations Using Particular Solutions of Helmholtz-Type Equations, Wanru Chang, Ching-Shyang Chen, and Wen Li

Link

Big Data Solutions to Interpreting Complex Systems in the Environment, Hongmei Chi, Sharmini Pitter, Nan Li, and Haiyan Tian

Link

Inverse Problem of Central Configurations in the Collinear 5-Body Problem, Candice Davis, Scott Geyer, William Johnson, and Zhifu Xie

Link

Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices, Qixiang Dong, Jiu Ding, and Qianglian Huang

Link

The Method of Particular Solutions for Solving Nonlinear Poisson Problems, Fangfang Dou, Yanshan Liu, and Ching-Shyang Chen

Link

Analysis On the Method of Fundamental Solutions for Biharmonic Equations, Fangfang Dou, Zi-Cai Li, Ching-Shyang Chen, and Zhaolu Tian

Link

The Method of Brackets In Experimental Mathematics, Ivan Gonzalez, Karen Kohl, Lin Jiu, and Victor H. Moll

PDF

An Extension of the Method of Brackets: Part 1, Ivan Gonzalez, Karen T. Kohl, Lin Jiu, and Victor H. Moll

PDF

Improved Kansa RBF Method for the Solution of Nonlinear Boundary Value Problems, Malgorzata A. Jankowska, Andreas Karageorghis, and Ching-Shyang Chen

PDF

A Maximum Entropy Method for Solving the Boundary Value Problem of Second Order Ordinary Differential Equations, Congming Jin and Jiu Ding

Link

A Piecewise Linear Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities, Congming Jin, Tulsi Upadhyay, and Jiu Ding

Link

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

PDF

Particular Solutions of Products of Helmholtz-Type Equations Using the Matern Function, Xiao-Yan Liu, Ching-Shyang Chen, Wen Li, and Ming Li

Link

The Method of Transformed Angular Basis Function for Solving the Laplace Equation, Xinxiang Li, Jaeyoun Oh, Yong Wang, and Huiqing Zhu

Link

A Continuum of Periodic Solutions to the Planar Four-Body Problem With Two Pairs of Equal Masses, Tiancheng Ouyang and Zhifu Xie

PDF

Modeling of First-Order Photobleaching Kinetics Using Krylov Subspace Spectral Methods, Somayyeh Sheikholeslami and James V. Lambers

Link

Convergence Analysis of Krylov Subspace Spectral Methods for Reaction-Diffusion Equations, Somayyeh Sheikholeslami, James V. Lambers, and Carley Walker

PDF

The Method of Particular Solutions Using Trigonometric Basis Functions, Zhaolu Tian, Xinxiang Li, C.M. Fan, and Ching-Shyang Chen

Link

Adding a New Dimension of Teaching Mathematics Educators, Anna Wan and Jessica Ivy

Link

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

Link

A Quadratic Spline Least Squares Method for Computing Absolutely Continuous Invariant Measures, Duanmei Zhou, Guoliang Chen, Jiu Ding, and Noah H. Rhee

Link

Nodal Superconvergence of the Local Discontinuous Galerkin Method for Singularly Perturbed Problems, Huiqing Zhu and Fatih Celiker

Submissions from 2017

Link

Corrigendum to "The F5 Criterion Revised", Alberto Arri and John Perry

PDF

Integrals of Frullani Type and the Method of Brackets, Sergio Bravo, Ivan Gonzalez, Karen T. Kohl, and Victor H. Moll

PDF

Polynomial Particular Solutions for Solving Elliptic Partial Differential Equations, Thir R. Dangal, Ching-Shyang Chen, and Ji Lin

Link

Generalizing a Caccioppoli-Type Inequality, Jiu Ding, Vilmos Komornik, and Bernd S.W. Schröder

Link

A Time Integration Method of Approximate Fundamental Solutions for Nonlinear Poisson-Type Boundary Value Problems, Corey Jones and Haiyan Tian

Link

Kansa-RBF Algorithms for Elliptic Problems In Regular Polygonal Domains, Andreas Karageorghis, Malgorzata A. Jankowska, and Ching-Shyang Chen

Kansa-RBF Algorithms for Elliptic Problems In Regular Polygonal Domains, Andreas Karageorghis, Malgorzata A. Jankowska, and Ching-Shyang Chen

Link

From Integrals to Multi-Sum Identities, Karen T. Kohl

Link

Particular Solutions of Laplace and Bi-harmonic Operators Using Matern Radial Basis Functions, A.R. Lamichhane and C.S. Chen

Link

Method of Particular Solutions Using Polynomial Basis Functions for the Simulation of Plate Bending Vibration Problems, Ji Lin, Ching-Shyang Chen, Fajie Wang, and Thir Dangal

Link

Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method, Xiao-Yan Liu, C.S. Chen, and Andreas Karageorghis

Link

The MFS Versus the Trefftz Method for the Laplace Equation In 3D, Hui Lv, Fang Hao, Yong Wang, and Ching-Shyang Chen

Link

Explicit Solutions of the Yang-Baxter-like Matrix Equation for an Idempotent Matrix, Saeed Ibrahim Adam Mansour, Jiu Ding, and Qianglian Huang

Link

The MFS and MAFS for Solving Laplace and Biharmonic Equations, Xiangnan Pei, Ching-Shyang Chen, and Fangfang Dou

Link

The Fixed Point Property for Ordered Sets of Interval Dimension 2, Bernd S.W. Schröder

Link

Analysis of the Method of Fundamental Solutions for the Modified Helmholtz Equation, Zhaolu Tian, Zi-Cai Li, Hung-Tsai Huang, and Ching-Shyang Chen

Link

A Modified Method of Approximate Particular Solutions for Solving Linear and Nonlinear PDEs, Guangming Yao, Ching-Shyang Chen, and Hui Zheng

Link

On the Yang-Baxter-like Matrix Equation for Rank-two Matrices, Duanmei Zhou, Guoliang Chen, and Jiu Ding

Link

Solving the Yang-Baxter-Like Matrix Equation for Rank-Two Matrices, Duanmei Zhou, Guoliang Chen, and Jiu Ding

Link

Solving the Yang-Baxter-Like Matrix Equation for Nilpotent Matrices of Index Three, Duanmei Zhou and Jiu Ding

Submissions from 2016

Link

On Choosing the Location of the Sources in the MFS, C.S. Chen, A. Karageorghis, and Yan Li

Link

Solution of Nonlinear Time-Dependent PDEs Through Componentwise Approximation of Matrix Functions, Alexandru Cibotarica, James V. Lambers, and Elisabeth M. Palchak

Link

On Polynomial Maximum Entropy Method for Classical Moment Problem, Jiu Ding, Noah H. Rhee, and Chenhua Zhang

Link

Solving the Yang-Baxter-like Matrix Equation for a Class of Elementary Matrices, Jiu Ding and Haiyan Tian

Link

Complete Commuting Solutions of the Yang-Baxter-like Matrix Equation for Diagonalizable Matrices, Qixiang Dong and Jiu Ding

Link

Numerical Solutions of Elliptic Partial Differential Equations using Chebyshev Polynomials, B. Khatri Ghimire, H.Y. Tian, and A.R. Lamichhane

Link

Flat Lorentz Surfaces in Anti-de Sitter 3-space and Gravitational Instantons, Jun-Ichi Inoguchi, Marianty Ionel, and Sungwook Lee

PDF

Solving Fredholm Integral Equations via a Piecewise Linear Maximum Entropy Method, Congming Jin and Jiu Ding

Link

Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains, Andreas Karageorghis, C.S. Chen, and Xiao-Yan Liu

Link

Vertex-Colored Graphs, Bicycle Spaces and Mahler Measure, Kalyn R. Lamey, Daniel S. Silver, and Susan G. Williams

Link

Fast Method of Approximate Particular Solutions Using Chebyshev Interpolation, A.R. Lamichhane, D.L. Young, and C.S. Chen

Link

Improved Finite Integration Method for Partial Differential Equations, M. Li, Z.L. Tian, Y.C. Hon, C.S. Chen, and P.H. Wen

Link

Fast Solution of Three-Dimensional Modified Helmholtz Equations by the Method of Fundamental Solutions, Ji Lin, C.S. Chen, and Chein-Shan Liu

Link

Fast Simulation of Multi-Dimensional Wave Problems by the Sparse Scheme of the Method of Fundamental Solutions, Ji Lin, C.S. Chen, Chein-Shan Liu, and Jun Lu

PDF

Recurrence Relations for Orthogonal Polynomials for PDEs In Polar and Cylindrical Geometrics, Megan Richardson and James V. Lambers

PDF

A Cacciopoli-Type Inequality to Prove Coercivity of a Bilinear Form Associated with Spatial Hysteresis Internal Damping for an Euler-Bernoulli Beam, Bernd S.W. Schröder, Jonathan B. Walters, and Katie A. Evans

Link

All Solutions of the Yang-Baxter-like Matrix Equation for Rank-One Matrices, Haiyan Tian

Link

Method of Fundamental Solutions for Three-Dimensional Exterior Potential Flows, D.L. Young, C.K. Chou, C.W. Chen, J.Y. Lai, and D.W. Watson

Link

Localized Method of Approximate Particular Solutions for Solving Unsteady Navier-Stokes Problem, Xueying Zhang, Muyuan Chen, C.S. Chen, and Zhiyong Li

PDF

Error Analysis of an HDG Method for a Distributed Optimal, Huiqing Zhu and Fatih Celiker

Submissions from 2015

Link

Solution of Time-Dependent PDE Through Rapid Estimation of Block Gaussian Quadrature Nodes, Elisabeth M. Palchak, Alexandru Cibotarica, and James V. Lambers

PDF

The Fixed Vertex Property for Graphs, Bernd S.W. Schröder

Link

A Piecewise Quadratic Maximum Entropy Method for the Statistical Study of Chaos, Tulsi Upadhyay, Jiu Ding, and Noah H. Rhee

Submissions from 2014

PDF

Reducing the Size and Number of Linear Programs in a Dynamic Gröbner Basis Algorithm, Massimo Caboara and John Edward Perry III