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Submissions from 2017

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

Polynomial Particular Solutions For Solving Elliptic Partial Differential Equations, Thir Dangal, C. S. Chen, and Ji Lin

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

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

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The Moments of the Hydrogen Atom By the Method of Brackets, Ivan Gonzalez, Karen T. Kohl, Igor Kondrashuk, Victor H. Moll, and Daniel Salinas

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

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

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

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

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

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

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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

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

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

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

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

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

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

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

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

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

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

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

Submissions from 2016

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

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

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

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

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

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

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

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

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

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

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

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

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

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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

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

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

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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

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

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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

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

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

Submissions from 2015

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

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

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A Nontrivial Solution To a Stochastic Matrix Equation, J. Ding and N. H. Rhee

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

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

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

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

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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

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

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

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

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

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

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

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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

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

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

Submissions from 2014

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

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

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

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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

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

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

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

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

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

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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

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

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

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

Submissions from 2013

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

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

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

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

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

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

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

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

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

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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

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

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

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

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

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

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

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

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

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

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

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

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

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

Submissions from 2012

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

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

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