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Submissions from 2021

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The Norm Convergence of a Least Squares Approximation Method for Random Maps, Raymond Manna Bangura, Congming Jin, and Jiu Ding

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Improved Geometric Modeling Using the Method of Fundamental Solutions, C. S. Chen, Lionel Amuzu, Kwesi Acheampong, and Huiqing Zhu

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RBF–DQ Algorithms for Elliptic Problems In Axisymmetric Domains, C. S. Chen, Malgorzata A. Jankowska, and Andreas Karageorghis

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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

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A Note On the Immersed Finite Element Basis Functions For Elliptic Interface Problems, Hongbo Guan, Zhimin Zhang, and Huiqing Zhu

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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

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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

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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

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The Kansa RBF Method With Auxiliary Boundary Centres For Fourth Order Boundary Value Problems, Andreas Karageorghis, Demetriana Tappoura, and C. S. Chen

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Maximal Spacelike Surfaces In a Certain Homogeneous Lorentzian 3-Manifold, Sungwook Lee

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Ghost Point Method Using RBfs and Polynomial Basis Functions, Zhiying Ma, Xinxiang Li, and C. S. Chen

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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

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

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Localized Meshless Methods based on polynomial basis functions for solving axisymmetric equations, Wanru Chang, C. S. Chen, Xiao Yan Liu, and J. Li

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

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

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Improved RBF Collocation Methods For Fourth Order Boundary Value Problems, C.S. Chen, A. Karageorghis, and Hui Zheng

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

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

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Solving Fourth-Order PDEs Using the LMAPS, Cheng Deng, Hui Zheng, Hui Zheng, Yan Shi, C. S. Chen, and C. S. Chen

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On the Stable Perturbation and Nashed’s Condition for Generalized Inverses, Jiu Ding and Qianglian Huang

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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

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A Maximum-Entropy Meshfree Method for Computation of Invariant Measures, Tingting Fang, Hongxia Jia, Congming Jin, and Jiu Ding

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

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

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Hybrid Chebyshev Polynomial Scheme For Solving Elliptic Partial Differential Equations, B. Khatri Ghimire, Xinxiang Li, C. S. Chen, and A. R. Lamichhane

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

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

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A Dynamic F4 Algorithm To Compute Gröbner Bases, John Perry

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The Automorphism Conjecture for Ordered Sets of Dimension 2 and Interval Orders, Bernd S.W. Schröder

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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

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

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

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

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Super Central Configurations In the Collinear 5-Body Problem, Zhifu Xie and William Johnson

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Improved 3D Surface Reconstruction Via The Method of Fundamental Solutions, Hui Zheng, Feng Wang, C. S. Chen, M. Lei, and Yong Wang

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

Submissions from 2019

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

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

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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

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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

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

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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

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

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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

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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

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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

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

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

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

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

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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

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

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

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

Submissions from 2018

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

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

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

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

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

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

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

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Modeling the Diffusion of Heat Energy Within Composites of Homogeneous Materials Using the Uncertainty Principle, Elyse M. Garon and James V. Lambers

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

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

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

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

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

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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

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

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

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

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

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

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

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

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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

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

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

Submissions from 2017

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

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

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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