Submissions from 2012
A Piecewise Constant Method for Frobenius-Perron Operators via Delta Function Approximations, Suanrong Chen and Jiu Ding
A Generalization of a Classic Theorem in the Perturbation Theory for Linear Operators, Jiu Ding and L.J. Huang
Birkhoff's Ergodic Theorem and the Piecewise-Constant Maximum Entropy Method for Frobenius-Perron Operators, Jiu Ding and Noah H. Rhee
On the Norm Convergence of a Piecewise Linear Least Squares Method for Frobenius-Perron Operators, Jiu Ding and Noah H. Rhee
On the Independent Domination Number of Regular Graphs, Wayne Goddard, Michael A. Henning, Jeremy Lyle, and Justin Southey
Independent Dominating Sets In Triangle-Free Graphs, Wayne Goddard and Jeremy Lyle
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
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
Approximate Diagonalization of Variable-Coefficient Differential Operators Through Similarity Transformations, James V. Lambers
Explicit High-Order Time Stepping Based on Componentwise Application of Asymptotic Block Lanczos Iteration, James V. Lambers
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
Asymptotic Properties of the Tail Distribution and Hill's Estimator for Shot Noise Sequence, Chenhua Zhang and William P. McCormick
Submissions from 2011
The F5 Criterion Revised, Alberto Arri and John E. Perry
The Method of Approximate Particular Solutions for Solving Elliptic Problems with Variable Coefficients, C.S. Chen, Chia-Ming Fan, and Pihua Wen
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
A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators, Jiu Ding and Noah H. Rhee
On the Equality of Algebraic and Geometric Multiplicities of Matrix Eigenvalues, Jiu Ding and Noah H. Rhee
Dense Graphs with Small Clique Number, Wayne Goddard and Jeremy Lyle
Engineering Presentation of the Stochastic Interpolation Framework and Its Applications, Daniel Howard, Adrian Brezulianu, and Joseph Kolibal
Genetic Programming of the Stochastic Interpolation Framework: Convection-Diffusion Equation, Daniel Howard, Adrian Brezulianu, and Joseph Kolibal
Solution of Time-Dependent PDE Through Component-Wise Approximation of Matrix Functions, James V. Lambers
Spectral Methods For Time-Dependent Variable-Coefficient PDE Based On Block Gaussian Quadrature, James V. Lambers
Computing Determinants By Double-Crossing, Deanna Leggett, John Perry, and Eve Torrence
A Meshless Method for Solving Nonhomogeneous Cauchy Problems, Ming Li, C.S. Chen, and Benny Y.C. Hon
On the Chromatic Number of H-Free Graphs of Large Minimum Degree, Jeremy Lyle
A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform, Antonio Tadeu, C.S. Chen, J. António, and Nuno Simões
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
A Localized Approach for the Method of Approximate Particular Solutions, Guangming Yao, Joseph Kolibal, and Ching-Shyang Chen
A Comparison of Three Explicit Local Meshless Methods Using Radial Basis Functions, Guangming Yao, Bozidar Šarler, and C.S. Chen
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
Adaptive Method of Particular Solution for Solving 3D Inhomogeneous Elliptic Equations, Ching-Shyang Chen, T.O. Kwok, and L. Ling
Piecewise Linear Least Squares Approximations of Frobenius-Perron Operators, Jiu Ding and Noah H. Rhee
Non-Convexity of the Dimension Function for Sierpinski Pedal Triangles, Jiu Ding and Yifa Tang
F5C: A Variant of Faugere's F5 Algorithm With Reduced Gröbner Bases, Christian Eder and John E. Perry
The Kauffman Bracket Skein Module of Surgery On a (2, 2b) Torus Link, John M. Harris
An Analysis of Backward Heat Conduction Problems Using the Time Evolution Method of Fundamental Solutions, Joseph Kolibal, C.H. Tsai, and D.L. Young
A Multigrid Block Krylov Subspace Spectral Method for Variable-Coefficient Elliptic PDE, James V. Lambers
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
EPDM/tBS Suspension Copolymer for Oil Sorbency Application, Y.P. Liu, B. Wu, M.H. Zhou, and Jiu Ding
An Extension of Buchberger's Criteria for Gröbner Basis Decision, John Edward Perry III
The Golden Section Search Algorithm for Finding a Good Shape Parameter for Meshless Collocation Methods, C. H. Tsai, Joseph Kolibal, and Ming Li
The Method of Particular Solutions For Solving Scalar Wave Equations, Pihua Wen and Ching-Shyang Chen
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
Integral and Non-Negativity Preserving Bernstein-Type Polynomial Approximations, Jiu Ding, Joseph Kolibal, and Noah H. Rhee
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
Driven Diffusion In Solid Media: A Matrix Formalism, Jun-Ichi Inoguchi and Joseph Kolibal
Lightlike Surfaces in Minkowski 3-Space, Jun-Ichi Inoguchi and Sungwook Lee
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
Matrix Decomposition RBF Algorithm for Solving 3D Elliptic Problems, Andreas Karageorghis, Ching-Shyang Chen, and Yiorgos-Sokratis Smyrlis
A Multigrid Block Krylov Subspace Spectral Method for Variable-Coefficient Elliptic PDE, James V. Lambers
The Binding Number of a Graph and Its Cliques, Jeremy Lyle and Wayne Goddard
The Method of Particular Solutions for Solving Axisymmetric Polyharmonic and Poly-Helmholtz Equations, Chia-Cheng Tsai, Ching-Shyang Chen, and Tai-Wen Hsu
Particular Solutions of Splines and Monomials for Polyharmonic and Products of Helmholtz Operators, Chia-Cheng Tsai, A.H.-D. Cheng, and Ching-Shyang Chen
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
Symmetric Groups and Conjugacy Classes, Edith Adan-Bante and Helena Verrill
A Quasi-Isometry Invariant Loop Shortening Property for Groups, Stephen G. Brick, Jon M. Corson, and Dohyoung Ryang
Sierpinski Pedal Triangles, Jiu Ding, Richard Hitt, and Xin-Min Zhang
A Spectrum Theorem for Perturbed Bounded Linear Operators, Jiu Ding and Aihui Zhou
Characteristic Polynomials of Some Perturbed Matrices, Jiu Ding and Aihui Zhou
Corrigendum to "Are Buchberger's Criteria Necessary for the Chain Condition?" (vol. 42, pg. 717, 2007), Hoon Hong and John E. Perry
A Weierstrass Type Representation for Minimal Surfaces in Sol, Jun-Ichi Inoguchi and Sungwook Lee
Alternative Parametric Boundary Reconstruction Method for Biomedical Imaging, Joseph Kolibal and Daniel Howard
Stochastic Interpolation: A Probabilistic View, Joseph Kolibal and Daniel Howard
Maximal Surfaces In a Certain 3-Dimensional Homogeneous Spacetime, Sungwook Lee
Bipartite Toughness and the k-Factors in Bipartite Graphs, Guizhen Liu, Jianbo Quan, Jonathan Z. Sun, and Rui Xu
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
A Basis Function for Approximation and the Solutions of Partial Differential Equations, Haiyan Y. Tian, S. Reutskiy, and C.S. Chen
Submissions from 2007
Products of Characters With Few Irreducible Constituents, Edith Adan-Bante
Squares of Characters and Finite Groups, Edith Adan-Bante
Derivation of Particular Solutions Using Chebyshev Polynomial Based Functions, C.S. Chen, Sungwook Lee, and C.-S. Huang
Integral and Nonnegativity Preserving Approximations of Functions, Jiu Ding, Larry Eifler, and N. H. Rhee
A Posteriori Error Estimates for Markov Approximations of Frobenius-Perron Operators, Jiu Ding, Congming Jin, and Aihui Zhou
The Maximum Entropy Method Applied to Stationary Density Computation, Jiu Ding and Lawrence R. Mead
The Eigenvalue Problem of a Specially Updated Matrix, Jiu Ding and Guangming Yao
Eigenvalues of Rank-One Updated Matrices with Some Applications, Jiu Ding and Aihui Zhou
On the Kauffman Bracket Skein Module of the Quaternionic Manifold, Patrick M. Gilmer and John M. Harris
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
DRM-MD Approach for Modeling Laser-Material Interaction With Axial Symmetry, Radovan Gospavić, Viktor Popov, Milesa Sreckovigospavić, and C.S. Chen
Continuity and Separation In Symmetric Topologies, J. Harris and M. Lynch
Are Buchberger's Criteria Necessary For the Chain Condition?, Hoon Honga and John E. Perry
Invariant Measures for Univalent Self-Maps of the Unit Disc, William E. Hornor
A Matrix Decomposition RBF Algorithm: Approximation of Functions and their Derivatives, Andreas Karageorghis, C.S. Chen, and Yiorgos-Sokratis Smyrlis
Parametric reconstruction of boundaries and surfaces for medical imaging, Joseph Kolibal and Daniel Howard
Web Graphics For the Computation of Invariant Measures, Zizhong J. Wang, Huiqing H. Yang, and Jiu Ding
Submissions from 2006
Homogeneous Products of Conjugacy Classes, Edith Adan-Bante
Induction of Characters and Finite p-Groups, Edith Adan-Bante
Some Comments On the Ill-Conditioning of the Method of Fundamental Solutions, C.S. Chen, Hokwon A. Cho, and M.A. Golberg
Some Results On Structured M-Matrices With an Application to Wireless Communications, Jiu Ding, Wallace C. Pye, and Lian Zhao
A Modified Piecewise Linear Markov Approximation of Markov Operators, Jiu Ding and N.H. Rhee
Piecewise Linear Integral-Preserving Approximations of Functions, Jiu Ding and Ningjun Ye
A Radial Basis Collocation Method for Hamilton-Jacobi-Bellman Equations, C. -S. Huang, S. Wang, C.S. Chen, and Z. -C. Li
Implications of a novel family of stochastic methods for function recovery, Joseph Kolibal and Daniel Howard
MALDI-TOF Baseline Drift Removal Using Stochastic Bernstein Approximation, Joseph Kolibal and Daniel Howard
The novel stochastic Bernstein method of functional approximation, Joseph Kolibal and Daniel Howard
Timelike Surfaces of Constant Mean Curvature ±1 In Anti-de Sitter 3-space H31), Sungwook Lee
Spacelike Constant Mean Curvature 1 Trinoids In De Sitter Three-Space, Sungwook Lee and Seong-Deog Yang
Approximation of Multivariate Functions and Evaluation of Particular Solutions Using Chebyshev Polynomial and Trigonometric Basis Functions, S. Y. Reutskiy and C.S. Chen
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
Conjugacy Classes and Finite P-Groups, Edith Adan-Bante