Follow

Submissions from 2017

Link

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

Link

Minimal Timelike Surfaces In a Certain Homogeneous Lorentzian 3-Manifold, Sungwook Lee

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

Students' Reactions to Reform Mathematics Pedagogy In a Postsecondary Remedial Mathematics Course, Luke Smith, W. Gary Martin, Anna Wan, and Gilbert Dueñas

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

Link

The Use of Retractions in the Fixed Point Theory for Ordered Sets, Bernd S.W. Schröder

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

Fast Solution for Solving the Modified Helmholtz Equation with the Method of Fundamental Solutions, C. S. Chen, Xinrong Jiang, Wen Chen, and Guangming Yao

Link

Engineering Analysis with Boundary Elements: Preface, C. S. Chen, Ming Li, and C. C. Tsai

Link

Commuting Solutions of the Yang-Baxter Matrix Equation, J. Ding, C. Zhang, and N. H. Rhee

Link

High-Order Time-Stepping For Nonlinear PDE Through Rapid Estimation of Block Gaussian Quadrature Nodes, James V. Lambers

Link

The Closed-Form Particular Solutions For Laplace and Biharmonic Operators Using a Gaussian Function, A. R. Lamichhane and C. S. Chen

Link

Finite Integration Method For Solving Multi-Dimensional Partial Differential Equations, M. Li, C. S. Chen, Y. C. Hon, and P. H. Wen

Link

Compactly Supported Radial Basis Functions for Solving Certain High Order Partial Differential Equations In 3D, Wen Li, Ming Li, C. S. Chen, and Xiaofeng Liu

Link

A Structural Approach for Independent Domination of Regular Graphs, Jeremy Lyle

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

Analyses of Circular Magnetoelectroelastic Plates With Funcitonally Graded Material Properties, J. Sladek, V. Sladek, S. Krahulec, C. S. Chen, and D. L. Young

Link

Comparing Two Types of Bases For Solving Elliptic Boundary Value Problems, Haiyan Y. Tian, Hongmei Chi, and Yanzhao Cao

Link

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

Link

The Localized Method of Approximated Particular Solutions For Near-Singular Two- and Three-Dimensional Problems, Guangming Yao, C. S. Chen, Wen Li, and D. L. Young

Link

Implicit Local Radial Basis Function Interpolations Based On Function Values, Guangming Yao, Jia Duo, C. S. Chen, and L. H. Shen

Link

Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations, Xueying Zhang, Xin An, and C. S. Chen

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

Link

When a Matrix and Its Inverse Are Nonnegative, Jiu Ding and N. H. Rhee

Link

On the Ill-Conditioning of the MFS For Irregular Boundary Data With Sufficient Regularity, Guorui Feng, Ming Li, and C. S. Chen

Link

Localized Method of Approximate Particular Solutions with Cole-Hopf Transformation for Multi-Dimensional Burgers Equations, C. Y. Lin, M. H. Gu, D. L. Young, and C. S. Chen

Link

A New Scheme For the Solution of Reaction Diffusion and Wave Propagation Problems, Ji Lin, Wen Chen, and C. S. Chen

Link

Numerical Treatment of Acoustic Problems With Boundary Singularities By the Singular Boundary Method, Ji Lin, Wen Chen, and C. S. Chen

Link

Circulant Matrix and Conformal Mapping For Solving Partial Differential Equations, Xiao Yan Liu, Wen Li, Ming Li, and C. S. Chen

PDF

A Note On Independent Sets In Graphs With Large Minimum Degree and Small Cliques, Jeremy Lyle

PDF

A Look Inside Mathematics Coaching: Roles, Content, and Dynamics, Rejoice Mudzimiri, Elizabeth A. Burroughs, Jennifer Luebeck, John Sutton, and David Yopp

Link

Genome-Wide Gene Expression Profiles in Lung Tissues of Pig Breeds Differing in Resistance to Porcine Reproductive and Respiratory Syndrome Virus, Jinyi Xing, Feng Xing, Chenhua Zhang, Yujie Zhang, Nan Wang, Yanping Li, Lijuan Yang, and Chenglan Jiang

Link

Local Method of Approximate Particular Solutions for Two-Dimensional Unsteady Burgers' Equations, Xueying Zhang, Haiyan Tian, and Wen Chen

Link

The Method of Approximate Particular Solutions for Solving Anisotropic Elliptic Problems, Huiqing Zhu

Link

Uniform Convergence of the LDG Method for a Singularly Perturbed Problem with the Exponential Boundary Layer, Huiqing Zhu and Zhimin Zhang

Submissions from 2013

Link

On the Convergence of the MFS-MPS Scheme for 1D Poisson's Equation, C. S. Chen, C. S. Huang, and K. H. Lin

Link

Boundary-Type RBF Collocation Methods, Wen Chen, Zhuo Jia Fu, and C. S. Chen

Link

Different Formulations of the Kansa Method: Domain Discretization, Wen Chen, Zhuo Jia Fu, and C. S. Chen

Link

Introduction, Wen Chen, Zhuo Jia Fu, and C. S. Chen

Link

Open Issues and Perspectives, Wen Chen, Zhuo Jia Fu, and C. S. Chen

Link

Radial Basis Functions, Wen Chen, Zhuo Jia Fu, and C. S. Chen

Link

The Method of Fundamental Solutions For Solving Exterior Axisymmetric Helmholtz Problems With High Wave-Number, Wen Chen, Ji Lin, and C. S. Chen

Link

Spectral Solutions of the Yang-Baxter Matrix Equation, Jiu Ding and N.H. Rhee

Link

Further Solutions of a Yang-Baxter-like Matrix Equation, Jiu Ding, Chenhua Zhang, and Noah H. Rhee

Link

Image Restoration with a New Class of Forward-Backward-Forward Diffusion Equations of Perona-Malik Type with Applications to Satellite Image Enhancement, Patrick Guidotti, Yunho Kim, and James Lambers

Link

A Numerical Method for 1D Time-Dependent Schrodinger Equation Using Radial Basis Functions, Tongsong Jiang, Zhaolin Jiang, and Joseph Kolibal

Link

Fast Multipole Accelerated Boundary Knot Method for Inhomogeneous Helmholtz Problems, Xinrong Jiang, Wen Chen, and C. S. Chen

Link

Domain Type Kernel-Based Meshless Methods for Solving Wave Equations, L. H. Kuo, M. H. Gu, D. L. Young, and C. Y. Lin

Link

The MFS for the Solution of Harmonic Boundary Value Problems with Non-Harmonic Boundary Conditions, Ming Li, C. S. Chen, and A. Karageorghis

Link

The Localized RBFs Collocation Methods for Solving High Dimensional PDEs, Ming Li, Wen Chen, and C. S. Chen

Link

Fast Boundary Knot Method for Solving Axisymmetric Helmholtz Problems with High Wave Number, Jun Lin, Wen Chen, Ching-Shyang Chen, and Xinrong Jiang

Link

A Discontinuous Galerkin Least-Squares Finite Element Method for Solving Fisher's Equation, Runchang Lin and Huiqing Zhu

PDF

Laughing at the Looking Glass: Does Humor Style Serve as an Interpersonal Signal?, Virgil Zeigler-Hill, Avi Besser, and Stephanie E. Jett

Link

A Contact SPH Method with High-Order Limiters for Simulation of Inviscid Compressible Flows, Xueying Zhang, Haiyan Tian, Lei-Hsin Kuo, and Wen Chen

Link

A Comparison Study of the LMAPS Method and the LDQ Method For Time-Dependent Problems, Xueying Zhang, Huiqing Zhu, and Lei Hsin Kuo

Link

L∞ Estimation of the LDG Method for 1-D Singularly Perturbed Convection-Diffusion Problems, Huiqing Zhu and Runchang Lin

Link

Convergence Analysis of the LDG Method Applied to Singularly Perturbed Problems, Huiqing Zhu and Zhimin Zhang

Link

Pointwise Error Estimates For the LDG Method Applied to 1-D Singularly Perturbed Reaction-Diffusion Problems, Huiqing Zhu and Zhimin Zhang

Submissions from 2012

Link

Nodal Superconvergence of SDFEM for Singularly Perturbed Problems, Fatih Celiker, Zhimin Zhang, and Huiqing Zhu

Link

The Method of Approximate Particular Solutions For Solving Certain Partial Differential Equations, C.S. Chen, Chia-Ming Fan, and Pihua Wen

Link

A Piecewise Constant Method for Frobenius-Perron Operators via Delta Function Approximations, Suanrong Chen and Jiu Ding

Link

A Generalization of a Classic Theorem in the Perturbation Theory for Linear Operators, Jiu Ding and L.J. Huang

Link

On the Norm Convergence of a Piecewise Linear Least Squares Method for Frobenius-Perron Operators, Jiu Ding and Noah H. Rhee

PDF

On the Independent Domination Number of Regular Graphs, Wayne Goddard, Michael A. Henning, Jeremy Lyle, and Justin Southey

PDF

Independent Dominating Sets In Triangle-Free Graphs, Wayne Goddard and Jeremy Lyle

Link

The Method of Particular Solutions for Solving Inverse Problems of a Nonhomogeneous Convection-Diffusion Equation With Variable Coefficients, Tongsong Jiang, Ming Li, and C.S. Chen

Link

Parallel Computational Models For Composites Reinforced by CNT-fibres, Vladimír Kompiš, Quin-Hua Qin, Zhuojia Fu, C.S. Chen, Peter Droppa, Miroslav Kelemen, and Wen Chen

Link

Approximate Diagonalization of Variable-Coefficient Differential Operators Through Similarity Transformations, James V. Lambers

Link

Explicit High-Order Time Stepping Based on Componentwise Application of Asymptotic Block Lanczos Iteration, James V. Lambers

Link

A Regularization Method for the Approximate Particular Solution of Nonhomogeneous Cauchy Problems of Elliptic Partial Differential Equations with Variable Coefficients, Ming Li, Wen Chen, and C. H. Tsai

Link

Asymptotic Properties of the Tail Distribution and Hill's Estimator for Shot Noise Sequence, Chenhua Zhang and William P. McCormick