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Submissions from 2011

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The F5 Criterion Revised, Alberto Arri and John E. Perry

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The Method of Approximate Particular Solutions for Solving Elliptic Problems with Variable Coefficients, C.S. Chen, Chia-Ming Fan, and Pihua Wen

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A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings, Jiu Ding, Congming Jin, Noah H. Rhee, and Aihui Zhou

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A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators, Jiu Ding and Noah H. Rhee

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On the Equality of Algebraic and Geometric Multiplicities of Matrix Eigenvalues, Jiu Ding and Noah H. Rhee

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Dense Graphs with Small Clique Number, Wayne Goddard and Jeremy Lyle

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Engineering Presentation of the Stochastic Interpolation Framework and Its Applications, Daniel Howard, Adrian Brezulianu, and Joseph Kolibal

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Genetic Programming of the Stochastic Interpolation Framework: Convection-Diffusion Equation, Daniel Howard, Adrian Brezulianu, and Joseph Kolibal

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Solution of Time-Dependent PDE Through Component-Wise Approximation of Matrix Functions, James V. Lambers

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Spectral Methods For Time-Dependent Variable-Coefficient PDE Based On Block Gaussian Quadrature, James V. Lambers

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A Meshless Method for Solving Nonhomogeneous Cauchy Problems, Ming Li, C.S. Chen, and Benny Y.C. Hon

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A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform, Antonio Tadeu, C.S. Chen, J. António, and Nuno Simões

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Numerical Solution of Three-Dimensional Backward Heat Conduction Problems By the Time Evolution Method of Fundamental Solutions, C.H. Tsai, Der-Liang Young, and Joseph Kolibal

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A Localized Approach for the Method of Approximate Particular Solutions, Guangming Yao, Joseph Kolibal, and Ching-Shyang Chen

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A Comparison of Three Explicit Local Meshless Methods Using Radial Basis Functions, Guangming Yao, Bozidar Šarler, and C.S. Chen

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Convergence Analysis of the LDG Method for Singularly Perturbed Two-Point Boundary Value Problems, Huiqing Zhu, Haiyan Y. Tian, and Zhimin Zhang

Submissions from 2010

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Adaptive Method of Particular Solution for Solving 3D Inhomogeneous Elliptic Equations, Ching-Shyang Chen, T.O. Kwok, and L. Ling

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Piecewise Linear Least Squares Approximations of Frobenius-Perron Operators, Jiu Ding and Noah H. Rhee

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Non-Convexity of the Dimension Function for Sierpinski Pedal Triangles, Jiu Ding and Yifa Tang

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F5C: A Variant of Faugere's F5 Algorithm With Reduced Gröbner Bases, Christian Eder and John E. Perry

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An Analysis of Backward Heat Conduction Problems Using the Time Evolution Method of Fundamental Solutions, Joseph Kolibal, C.H. Tsai, and D.L. Young

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A Multigrid Block Krylov Subspace Spectral Method for Variable-Coefficient Elliptic PDE, James V. Lambers

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Meshless Method Based on Radial Basis Functions for Solving Parabolic Partial Differential Equations with Variable Coefficients, Ming Li, Ching-Shyang Chen, and C. H. Tsai

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EPDM/tBS Suspension Copolymer for Oil Sorbency Application, Y.P. Liu, B. Wu, M.H. Zhou, and Jiu Ding

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An Extension of Buchberger's Criteria for Gröbner Basis Decision, John Edward Perry III

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The Golden Section Search Algorithm for Finding a Good Shape Parameter for Meshless Collocation Methods, C. H. Tsai, Joseph Kolibal, and Ming Li

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The Method of Particular Solutions For Solving Scalar Wave Equations, Pihua Wen and Ching-Shyang Chen

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The Comparison of Three Meshless Methods Using Radial Basis Functions for Solving Fourth-Order Partial Differential Equations, Guangming Yao, C. H. Tsai, and Wen Chen

Submissions from 2009

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Integral and Non-Negativity Preserving Bernstein-Type Polynomial Approximations, Jiu Ding, Joseph Kolibal, and Noah H. Rhee

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On the Dimension of Sierpinski Pedal Triangles, Jiu Ding and Zhao Li

The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients, Chia-Ming Fan, Ching-Shyang Chen, and Jeannette Monroe

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Driven Diffusion In Solid Media: A Matrix Formalism, Jun-Ichi Inoguchi and Joseph Kolibal

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Lightlike Surfaces in Minkowski 3-Space, Jun-Ichi Inoguchi and Sungwook Lee

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On Immunotherapies and Cancer Vaccination Protocols: A Mathematical Modelling Approach, Badal Joshi, Xueying Wang, Sayanti Banerjee, Haiyan Y. Tian, Anastasios Matzavinos, and Mark A.J. Chaplain

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Matrix Decomposition RBF Algorithm for Solving 3D Elliptic Problems, Andreas Karageorghis, Ching-Shyang Chen, and Yiorgos-Sokratis Smyrlis

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A Multigrid Block Krylov Subspace Spectral Method for Variable-Coefficient Elliptic PDE, James V. Lambers

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The Binding Number of a Graph and Its Cliques, Jeremy Lyle and Wayne Goddard

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The Method of Particular Solutions for Solving Axisymmetric Polyharmonic and Poly-Helmholtz Equations, Chia-Cheng Tsai, Ching-Shyang Chen, and Tai-Wen Hsu

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Particular Solutions of Splines and Monomials for Polyharmonic and Products of Helmholtz Operators, Chia-Cheng Tsai, A.H.-D. Cheng, and Ching-Shyang Chen

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A Revisit on the Derivation of the Particular Solution for the Differential Operator ∆2 ± λ2, Guangming Yao, Ching-Shyang Chen, and Chia-Cheng Tsai

Submissions from 2008

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Symmetric Groups and Conjugacy Classes, Edith Adan-Bante and Helena Verrill

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A Quasi-Isometry Invariant Loop Shortening Property for Groups, Stephen G. Brick, Jon M. Corson, and Dohyoung Ryang

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Sierpinski Pedal Triangles, Jiu Ding, Richard Hitt, and Xin-Min Zhang

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A Spectrum Theorem for Perturbed Bounded Linear Operators, Jiu Ding and Aihui Zhou

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Characteristic Polynomials of Some Perturbed Matrices, Jiu Ding and Aihui Zhou

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Corrigendum to "Are Buchberger's Criteria Necessary for the Chain Condition?" (vol. 42, pg. 717, 2007), Hoon Hong and John E. Perry

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A Weierstrass Type Representation for Minimal Surfaces in Sol, Jun-Ichi Inoguchi and Sungwook Lee

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Alternative Parametric Boundary Reconstruction Method for Biomedical Imaging, Joseph Kolibal and Daniel Howard

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Bipartite Toughness and the k-Factors in Bipartite Graphs, Guizhen Liu, Jianbo Quan, Jonathan Z. Sun, and Rui Xu

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A Boundary Meshless Method Using Chebyshev Interpolation and Trigonometric Basis Function for Solving Heat Conduction Problems, S. Yu. Reutskiy, C.S. Chen, and Haiyan Y. Tian

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A Basis Function for Approximation and the Solutions of Partial Differential Equations, Haiyan Y. Tian, S. Reutskiy, and C.S. Chen

Submissions from 2007

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Products of Characters With Few Irreducible Constituents, Edith Adan-Bante

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Squares of Characters and Finite Groups, Edith Adan-Bante

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Derivation of Particular Solutions Using Chebyshev Polynomial Based Functions, C.S. Chen, Sungwook Lee, and C.-S. Huang

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Integral and Nonnegativity Preserving Approximations of Functions, Jiu Ding, Larry Eifler, and N. H. Rhee

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A Posteriori Error Estimates for Markov Approximations of Frobenius-Perron Operators, Jiu Ding, Congming Jin, and Aihui Zhou

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The Maximum Entropy Method Applied to Stationary Density Computation, Jiu Ding and Lawrence R. Mead

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Eigenvalues of Rank-One Updated Matrices with Some Applications, Jiu Ding and Aihui Zhou

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On the Kauffman Bracket Skein Module of the Quaternionic Manifold, Patrick M. Gilmer and John M. Harris

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Semianalytical Solution to Heat Transfer Problems Using Fourier Transform Technique, Radial Basis Functions, and the Method of Fundamental Solutions, E. V. Glushkov, N. V. Glushkova, and C.S. Chen

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DRM-MD Approach for Modeling Laser-Material Interaction With Axial Symmetry, Radovan Gospavić, Viktor Popov, Milesa Sreckovigospavić, and C.S. Chen

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Are Buchberger's Criteria Necessary For the Chain Condition?, Hoon Honga and John E. Perry

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Invariant Measures for Univalent Self-Maps of the Unit Disc, William E. Hornor

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A Matrix Decomposition RBF Algorithm: Approximation of Functions and their Derivatives, Andreas Karageorghis, C.S. Chen, and Yiorgos-Sokratis Smyrlis

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Web Graphics For the Computation of Invariant Measures, Zizhong J. Wang, Huiqing H. Yang, and Jiu Ding

Submissions from 2006

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Homogeneous Products of Conjugacy Classes, Edith Adan-Bante

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Induction of Characters and Finite p-Groups, Edith Adan-Bante

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Some Comments On the Ill-Conditioning of the Method of Fundamental Solutions, C.S. Chen, Hokwon A. Cho, and M.A. Golberg

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Some Results On Structured M-Matrices With an Application to Wireless Communications, Jiu Ding, Wallace C. Pye, and Lian Zhao

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A Modified Piecewise Linear Markov Approximation of Markov Operators, Jiu Ding and N.H. Rhee

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A Radial Basis Collocation Method for Hamilton-Jacobi-Bellman Equations, C. -S. Huang, S. Wang, C.S. Chen, and Z. -C. Li

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MALDI-TOF Baseline Drift Removal Using Stochastic Bernstein Approximation, Joseph Kolibal and Daniel Howard

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Timelike Surfaces of Constant Mean Curvature ±1 In Anti-de Sitter 3-space H31), Sungwook Lee

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Spacelike Constant Mean Curvature 1 Trinoids In De Sitter Three-Space, Sungwook Lee and Seong-Deog Yang

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Approximation of Multivariate Functions and Evaluation of Particular Solutions Using Chebyshev Polynomial and Trigonometric Basis Functions, S. Y. Reutskiy and C.S. Chen

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The Method of Fundamental Solutions for Eigenfrequencies of Plate Vibrations, D.L. Young, C.C. Tsai, Y.C. Lin, and C.S. Chen

Submissions from 2005

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Conjugacy Classes and Finite P-Groups, Edith Adan-Bante

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Products of Characters and Derived Length. II, Edith Adan-Bante

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The Perron-Frobenius Theorem and Limits In Geometry, Jiu Ding and Temple H. Fay

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Spacelike Surfaces of Constant Mean Curvature ±1 In de Sitter 3-space S31(1), Sungwook Lee

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Particular Solutions for Axisymmetric Helmholtz-Type Operators, A.S. Muleshkov, M.A. Golberg, and C.S. Chen

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Solution of Maxwell's Equations Using the MQ Method, D.L. Young, C.S. Chen, and T.K. Wong

Submissions from 2004

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Products of Characters and Finite P-Groups II, Edith Adan-Bante

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Mathematical Aspects of Kaluza-Klein Gravity, David E. Betounes

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Lower and Upper Bounds for the Perturbation of Linear Operators Equations, Jiu Ding

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Approximations of Frobenius-Perron Operators Via Interpolation, Jiu Ding and N.H. Rhee

Submissions from 2003

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New Perturbation Results on Pseudo-Inverses of Linear Operators in Banach Spaces, Jiu Ding

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On the Perturbation of the Reduced Minimum Modulus of Bounded Linear Operators, Jiu Ding

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Markov Chains and Dynamic Geometry of Polygons, Jiu Ding, L. Richard Hitt, and Xin-Min Zhang

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Semigroups of Holomorphic Self-Maps of Domains and One-Parameter Semigroups of Isometries of Bergman Spaces, William E. Hornor

Submissions from 2002

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On Commuting Automorphisms of Groups, M. Deaconescu, G. Silberberg, and Gary L. Walls

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Minimal Distance Upper Bounds for the Perturbation of Least Squares Problems in Hilbert Spaces, Jiu Ding

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On the Existence of Solutions to Equality Constrained Least-Squares Problems in Infinite Dimensional Hilbert Spaces, Jiu Ding

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Finite Approximations of Markov Operators, Jiu Ding, Tien Yien Li, and Aihui Zhou

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Bounds for Perturbed Solutions of Linear Operator Equations in Hilbert Space, Jiu Ding and Yimin Wei

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Relative Errors Versus Residuals of Approximate Solutions of Weighted Least Squares Problems in Hilbert Space, Jiu Ding and Yimin Wei

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Structure Preserving Finite Element Approximations of Markov Operators, Jiu Ding and Aihui Zhou

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Solvers for Nonlinear Algebraic Equations: Where Are We Today?, Marcin Paprzycki, Deborah Dent, and Anna Kucaba-Piętal

Submissions from 2001

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Right 2-Engel Elements and Commuting Automorphisms of Groups, Marian Deaconescu and Gary L. Walls

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Solvers for Systems of Nonlinear Algebraic Equations - Their Sensitivity to Starting Vectors, Deborah Dent, Marcin Paprzycki, and Anna Kucaba-Piętal