A New Model for Predicting the Drag and Lift Forces of Turbulent Newtonian Flow on Arbitrarily Shaped Shells on the Seafloor, Carley R. Walker, James V. Lambers, Julian Simeonov
Dissertations

On the Application of a Krylov Subspace Spectral Method to Poroacoustic Shocks In Inhomogeneous Gases, James V. Lambers, Pedro M. Jordan
Faculty Publications

Space–Time Localized Polynomial Basis Functions For Solving Parabolic and Hyperbolic Equations, C.S. Chen, Ahmed Naji, Yanhua Cao, Chuin Shan Chen
Faculty Publications

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

The Fixed Point Property in the Set of All Order Relations on a Finite Set, Bernd S.W. Schröder
Faculty Publications

Two-Step MPS-MFS Ghost Point Method for Solving Partial Differential Equations, D. L. Young, Shin Ruei Lin, Chuin Shan Chen, C. S. Chen
Faculty Publications

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, J. V. Lambers
Faculty Publications

2-adic Valuations of Square Spiral Sequences, Minh Nguyen
Honors Theses

A Component-Wise Approach to Smooth Extension Embedding Methods, Vivian Montiforte
Dissertations

Revisiting Manne et al. (2000): A Reformulation and Alternative Interpretation Under the Modified Internal-Energy Theory of Second-Sound, Pedro M. Jordan, James V. Lambers
Faculty Publications

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

A Nonuniform Anisotropic FEM for Elliptic Boundary Layer Optimal Control Problems, Hongbo Guan, Yong Yang, Huiqing Zhu
Faculty Publications

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

Commuting Perturbations of Operator Equations, Xue Xu, Jiu Ding
Faculty Publications

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

A Dynamic F4 Algorithm To Compute Gröbner Bases, John Perry
Faculty Publications

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

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

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

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

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

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, C. S. Chen
Faculty Publications

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

A 3D Image-Guided System to Improve Myocardial Revascularization Decision-Making for Patients with Coronary Artery Disease, Haipeng Tang
Dissertations

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

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

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

Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems, Subagya Perera
Master's Theses

A Dynamic F5 Algorithm, Candice Mitchell
Dissertations

A Test of Normality From Allegorizing the Bell Curve or the Gaussian Probability Distribution As Memoryless and Depthless Like a Black Hole, Amitava Biswas, Abhishek Bisaria
Faculty Publications

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

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

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

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

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

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

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

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

A Simple Drill for the Pythagorean Theorem With Scissors On Circles, Amitava Biswas, Abhishek Bisaria
Faculty Publications

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

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

Krylov Subspace Spectral Methods with Non-homogenous Boundary Conditions, Abbie Hendley
Master's Theses

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

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, Ming Li
Faculty Publications

Scalable Time-Stepping for Navier-Stokes Through High-Frequency Analysis of Block Arnoldi Iteration, Brianna Bingham
Dissertations

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

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

Localized Method of Fundamental Solutions for Solving Two-Dimensional Laplace and Biharmonic Equations, C.M. Fan, Y.K. Huang, Ching-Shyang Chen, S.R. Kuo
Faculty Publications

Diagonalization of 1-D Differential Operators With Piecewise Constant Coefficients Using the Uncertainty Principle, Sarah D. Long, Somayyeh Sheikholeslami, James V. Lambers, Carley Walker
Faculty Publications

A Semi-Analytical Collocation Trefftz Scheme For Solving Multi-Term Time Fractional Diffusion-Wave Equations, Zhuojia Fu, Li-Wen Yang, Huiqing Zhu, Wenzhi Xu
Faculty Publications

All Non-Commuting Solutions of the Yang-Baxter Matrix Equation for a Class of Diagonalizable Matrices, Qianglian Huang, Mansour Saeed Ibrahim Adam, Jiu Ding, Lanping Zhu
Faculty Publications

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

The Fixed Point Property For Closed Neighborhoods of Line Segments In L^P, Bernd Schroeder
Faculty Publications

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

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

Predicted Deepwater Bathymetry From Satellite Altimetry: Non-Fourier Transform Alternatives, Maxsimo Salazar
Dissertations

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

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

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

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

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

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

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

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

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

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

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

A Logistic Regression Analysis of First-Time College Students’ Completion Rates at The University of Southern Mississippi, Jesse Homer Robinson
Honors Theses

Rapid Generation of Jacobi Matrices for Measures Modified by Rational Factors, Amber Sumner
Dissertations

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

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

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

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

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

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

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

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

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

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

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

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

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

Method of Particular Solutions Using Polynomial Basis Functions for the Simulation of Plate Bending Vibration Problems, Ji Lin, Ching-Shyang Chen, Fajie Wang, Thir Dangal
Faculty Publications

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

Solution of PDES For First-Order Photobleaching Kinetics Using Krylov Subspace Spectral Methods, Somayyeh Sheikholeslami
Dissertations

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

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

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

Krylov Subspace Spectral Methods for PDEs in Polar and Cylindrical Geometries, Megan Richardson
Dissertations

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

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

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

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

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

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

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

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

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

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

Hybrid Chebyshev Polynomial Scheme for the Numerical Solution of Partial Differential Equations, Balaram Khatri Ghimire
Dissertations

Applications of the Sierpiński Triangle to Musical Composition, Samuel C. Dent
Honors Theses

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, Katie A. Evans
Faculty Publications

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

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

Solution of Nonlinear Time-Dependent PDE Through Componentwise Approximation of Matrix Functions, Alexandru Cibotarica
Dissertations

Lorentz Invariant Spacelike Surfaces of Constant Mean Curvature in Anti-de Sitter 3-Space, Jamie Patrick Lambert
Master's Theses

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

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

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

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

Modeling the Diffusion of Heat Energy within Composites of Homogeneous Materials using the Uncertainty Principle, Elyse M. Garon
Honors Theses

2-Domination and Annihilation Numbers, Sean C. Patterson
Honors Theses

Time Integration Methods of Fundamental Solutions and Approximate Fundamental Solutions for Nonlinear Elliptic Partial Differential Equations, Corey Leon Jones
Dissertations

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

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

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

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

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

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

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

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

Hybrid Meshless Method for Numerical Solution of Partial Differential Equations, Jeanette Marie Monroe
Dissertations

The Structure and Properties of Clique Graphs of Regular Graphs, Jan Burmeister
Master's Theses

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

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

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

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

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

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

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

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, Chenglan Jiang
Faculty Publications

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

Application of Linear Sequences to Cryptography, Amanda C. Yeates
Honors Theses

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

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

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

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

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

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

Iterative Solvers for Large, Dense Matrices, Eowyn Wilhelmina Cenek
Dissertations

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

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

Chebyshev Polynomial Approximation to Solutions of Ordinary Differential Equations, Amber Sumner Robertson
Undergraduate Theses

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

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

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

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

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, James Lambers
Faculty Publications

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

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

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

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

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

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

Approximation of Elements of Exponentials of Differential Operators With Rational Quadrature, Daniel Elwood Lanterman
Master's Theses

Rapid Approximation of Bilinear Forms Involving Matrix Functions Through Asymptotic Analysis of Gaussian Node Placement, Elisabeth Marie Palchak
Master's Theses

A Comparison of Two Boundary Methods For Biharmonic Boundary Value Problems, Jaeyoun Oh
Master's Theses

A Comparison of van Hiele Levels and Final Exam Grades of Students at The University of Southern Mississippi, Cononiah Watson
Honors Theses

A Comparison of Two Different Methods for Solving Biharmonic Boundary Valve Problems, Megan LaShea Richardson
Master's Theses

An Examination of the Yang-Baxter Equation, Alexandru Cibotarica
Master's Theses

Row Reduction of Macaulay Matrices, Lorrin Debenport
Honors Theses

Fraction-Free Methods for Determinants, Deanna Richelle Leggett
Master's Theses

Studies of Meson Mass Spectra in the Context of Quark-Antiquark Bound States, Mallika Dhar
Dissertations

Local Radial Basis Function Methods for Solving Partial Differential Equations, Guangming Yao
Dissertations

Relativistic Studies of the Charmonium and Bottomonium Systems Using the Sucher Equation, Charles Martin Werneth
Dissertations

DNAgents: Genetically Engineered Intelligent Mobile Agents, Jeremy Otho Kackley
Dissertations

An F4-Style Involutive Basis Algorithm, Miao Yu
Master's Theses

A Criterion for Identifying Stressors In Non-Linear Equations Using Gröbner Bases, Elisabeth Marie Palchak
Honors Theses

Assessing the Impact of a Computer-Based College Algebra Course, Ningjun Ye
Dissertations

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

An F4-Style Involutive Basis Algorithm, Miao Yu
Mathematics Student Presentations

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

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

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

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

Squares of Characters and Finite Groups, Edith Adan-Bante
Faculty Publications

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

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

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

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

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, C.S. Chen
Faculty Publications

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

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

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

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

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

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

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

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

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

Homogeneous Products of Conjugacy Classes, Edith Adan-Bante
Faculty Publications

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Constructive Approximations of Markov Operators, Jiu Ding, Aihui Zhou
Faculty Publications

Isometries of Some Banach Spaces of Analytic Functions, William E. Hornor, James E. Jamison
Faculty Publications

Approximation Order Analysis for the Piecewise Linear Markov Method, Jiu Ding, Z. Wang
Faculty Publications

Dirt Road Corrugations, Temple H. Fay, Keith A. Hardie, Stephan V. Joubert
Faculty Publications

Complex White Noise Analysis, Mylan Redfern
Faculty Publications

On the Spectrum and Pseudoinverse of a Special Bordered Matrix, Jiu Ding, Wallace C. Pye
Faculty Publications

Representations for Moore-Penrose Inverses in Hilbert Spaces, Yimin Wei, Jiu Ding
Faculty Publications

Remote Imaging of Internal Solitons in the Coastal Ocean, A.D. Weidemann, D.J. Johnson, R.J. Holyer, W.S. Pegau, L.A. Jugan, J.C. Sandidge
Faculty Publications

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

On Estimating Absolutely Continuous Invariant Measures, Jiu Ding, Aihui Zhou
Faculty Publications

Lower and Upper Bounds in the Perturbation of General Linear Algebraic Equations, Jiu Ding
Faculty Publications

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

Studying the Performance Nonlinear Systems Solvers Applied to the Random Vibration Test, Deborah Dent, Marcin Paprzycki, Anna Kucaba-Piętal, Ludomir Laudański
Faculty Publications

Parallel Computation of Invariant Measures, Jiu Ding, Z. Wang
Faculty Publications

Properties of Tournaments Among Well-Matched Players, Carolyn Eschenbach, Frank J. Hall, Rohan Hemasinha, Stephen Kirkland, Zhongshan Li, Bryan Shader, Jeffrey Stuart, James R. Weaver
Faculty Publications

On the Spectrum of Frobenius-Perron Operators, Jiu Ding, A. Zhou
Faculty Publications

Error Estimates for Quasi-Compact Markov Operators, Jiu Ding, Fern Y. Hunt
Faculty Publications

Stochastic Differentiation - A Generalized Approach, Mylan Redfern
Faculty Publications

Weakly Hereditary Initial Closure Operators, Temple H. Fay
Faculty Publications

Isolated Submodules and Skew Fields, Temple H. Fay, Stephan V. Joubert
Faculty Publications

Absolutely Continuous Invariant Measures for Piecewise C² and Expanding Mappings in Higher Dimensions, Jiu Ding, Aihui Zhou
Faculty Publications

On Almost Regular Tournament Matrices, Carolyn Eschenbach, Frank Hall, Rohan Hemasinha, Stephen J. Kirkland, Zhongshan Li, Bryan L. Shader, Jeffrey L. Stuart, James R. Weaver
Faculty Publications

Perturbation of Systems of Linear Algebraic Equations, Jiu Ding
Faculty Publications

Computing Fixed Points of Quasi-Compact Frobenius-Perron Operators, Jiu Ding, Aihui Zhou
Faculty Publications

Isometrically Equivalent Composition Operators on Spaces of Analytic Vector-Valued Functions, William E. Hornor, James E. Jamison
Faculty Publications

A Finite Element Method for the Frobenius-Perron Operator Equation, Jiu Ding, Aihui Zhou
Faculty Publications

Reducible Sign K-Potent Sign Pattern Matrices, Jeffrey Stuart
Faculty Publications

Irreducible Sign K-Potent Sign Pattern Matrices, Jeffrey Stuart, Carolyn Eschenbach, Steve Kirkland
Faculty Publications

Two-Parameter Stratonovich Integrals, Mylan Redfern
Faculty Publications

R-Groups, Temple H. Fay, Gary L. Walls
Faculty Publications

Random Number Generators for Parallel Applications, Ahsok Srinivasan, David M. Ceperley, Michael Mascagni
Faculty Publications

Importance of Convection and Damping on Rates of Convergence for the Lax-Wendroff Method, Joseph Kolibal
Faculty Publications

The Projection Method for a Class of Frobenius-Perron Operators, Jiu Ding, A Zhou
Faculty Publications

Perturbation Bounds for Least Squares Problems with Equality Constraints, Jiu Ding
Faculty Publications

Fractal Image Error Analysis, Joseph Kolibal, John Monde
Faculty Publications

A Maximum Entropy Method for Solving Frobenius-Perron Operator Equations, Jiu Ding
Faculty Publications

Perturbation Results for Projecting a Point Onto a Linear Manifold, Jiu Ding
Faculty Publications

Fiedler Matrices and Their Factorization, Jeffrey L. Stuart, James R. Weaver
Faculty Publications

The Point Spectrum of Frobenius-Perron and Koopman Operators, Jiu Ding
Faculty Publications

Computing Fixed Densities of a Class of Frobenius-Perron Operators, Jiu Ding, Aihui Zhou
Faculty Publications

New Perturbation Results for Equality-Constrained Least Squares Problems, Jiu Ding, WH Hang
Faculty Publications

A Convergence Rate Analysis for Markov Finite Approximations to a Class of Frobenius-Perron Operators, Jiu Ding, Tien Yien Li
Faculty Publications

Parallel Radiative Transport Using a Unified Matrix Approach, Craig Saltiel, Joseph Kolibal
Faculty Publications

On the Continuity of Generalized Inverses of Linear Operators in Hilbert Spaces, Jiu Ding, L.J. Huang
Faculty Publications

Computing Fixed Densities of Markov Operators Defined by Stochastic Kernels, Jiu Ding
Faculty Publications

Absolutely Continuous Invariant Measure of a Piecewise Concave Mapping of [0,1], Jiu Ding
Faculty Publications

Decomposition Theorems for Koopman Operators, Jiu Ding
Faculty Publications

Rank One Quotients of Vector Groups, Anthony J. Giovannitti
Faculty Publications

Weighted Composition Operators on Hilbert Spaces of Vector-Valued Functions, William E. Hornor, James E. Jamison
Faculty Publications

Some Ergodic Theorems for Piecewise Monotonic Transformations, Jiu Ding
Faculty Publications

The Frobenius-Perron Operator as a Product of Two Operators, Jiu Ding
Faculty Publications

Perturbation of Generalized Inverses of Linear Operators in Hilbert Spaces, Jiu Ding, L.J. Huang
Faculty Publications

Generalized Conditional Expectations, William E. Hornor
Faculty Publications

Categorical Compactness for Rings, Temple H. Fay, Stephan V. Joubert
Faculty Publications

Regular and Normal Closure Operators and Categorical Compactness for Groups, Temple H. Fay, Gary L. Walls
Faculty Publications

Piecewise-Linear Markov Approximations of Frobenius-Perron Operators Associated With Multidimensional Transformations, Jiu Ding, Ai Hui Zhou
Faculty Publications

A Circular-Arc Characterization of Certain Rectilinear Drawings, S.K. Stueckle, Barry L. Piazza, R.D. Ringeisen
Faculty Publications

Edge-Tenacious Networks, Barry L. Piazza, Fred S. Robertst, Sam K. Stueckle
Faculty Publications

Trace Operators, Feynman Distributions, and Multiparameter White-Noise, David E. Betounes
Faculty Publications

The Splicing of Cycle Permutation Graphs, Barry L. Piazza
Faculty Publications

A New Approach to Frobenius Perron Operators, Jiu Ding, William E. Hornor
Faculty Publications

On the Perturbation of the Least-Squares Solutions in Hilbert-Spaces, Jiu Ding, L.J. Huang
Faculty Publications

Diagonally Scaled Permutations and Circulant Matrices, Jeffrey L. Stuart, James R. Weaver
Faculty Publications

Special Issue: Proceedings of the 3rd ILAS Conference at the University of West Florida: Conference Report, James R. Weaver, Jeffrey L. Stuart
Faculty Publications

Row Sums and Inverse Row Sums for Nonnegative Matrices, Shmuel Friedland, Rohan Hemashinha, Hans Schneider, Jeffrey Stuart, James Weaver
Faculty Publications

The Spectral Analysis of Frobenius Perron Operators, Jiu Ding, Q. Du, T.Y. Li
Faculty Publications

A Closed Range Theorem for the Frobenius-Perron Operator and Its Application to the Spectral Analysis, Jiu Ding
Faculty Publications

Subthrackleable Graphs and 4 Cycles, Barry L. Piazza, R.D. Ringeisen, S.K. Stueckle
Faculty Publications

Localized Conditional Expectation and a Subnormality Criterion for the Adjoint of a Weighted Composition Operator, James T. Campbell, William E. Hornor
Faculty Publications

A Characterization of Categorically Compact Locally Nilpotent Groups, Temple H. Fay, Gary L. Walls
Faculty Publications

Localizing and Seminormal Composition Operators on L(2), James T. Campbell, William E. Hornor
Faculty Publications

On the Edge-Integrity of Some Graphs and Their Complements, R. Laskar, S. Stuecle, Barry L. Piazza
Faculty Publications

Stochastic Integrals for Nonprevisible, Multiparameter Processes, David E. Betounes, Mylan Redfern
Faculty Publications

Perturbation Analysis for the Projection of a Point to an Affine Set, Jiu Ding
Faculty Publications

A Continuation Algorithm for a Class of Linear Complementarity Problems Using an Extrapolation Technique, Jiu Ding
Faculty Publications

High-Order Approximation of the Frobenius-Perron Operator, Jiu Ding, Q. Du, T.Y. Li
Faculty Publications

Projection Solutions of Frobenius-Perron Operator Equations, Jiu Ding, Tien Tien Li
Faculty Publications

AlmostP ₀-Matrices and the Class Q, Wallace C. Pye
Faculty Publications

Liapunov-Razumikhin Pairs and the Location of Positive Limit Sets for Precompact Functional Differential Equations with Infinite Delay, William E. Hornor
Faculty Publications

Wiener Distributions and White Noise Analysis, David E. Betounes, Mylan Redfern
Faculty Publications

Products of Simple-Groups and Symmetrical Groups, Gary L. Walls
Faculty Publications

Categorically Compact Locally Nilpotent Groups: A Corrigendum, Temple H. Fay, Gary L. Walls
Faculty Publications

Generalized Stochastic Differential Equations on (D*), David E. Betounes
Faculty Publications

On the Vulnerability of Permutation Graphs of Complete and Complete Bipartite Graphs, D. Guichard, Barry L. Piazza, Sam K. Stueckle
Faculty Publications

Matrices That Commute With a Permutation Matrix, Jeffery L. Stuart, James R. Weaver
Faculty Publications

Connectivity of Generalized Prisms Over G, Barry L. Piazza, R.D. Ringeisen
Faculty Publications