Part of the Applied Mathematics Commons

Works in Applied Mathematics

2022

Effective Condition Number For the Selection of the RBF Shape Parameter With the Fictitious Point Method, Amir Noorizadegan, Chuin-Shan Chen, D.L. Young, C.S. Chen
Faculty Publications

Fine-Tuning a 𝑘-Nearest Neighbors Machine Learning Model for the Detection of Insurance Fraud, Alliyah Stout
Honors Theses

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Analysis of COVID-19 and Vaccine Administration in Mississippi, Megan Sickinger
Honors Theses

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Large Scale Disease Modeling, Walker Mattox
Master's Theses

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Fictitious Centre RBF Method For High Order BVPs In Multiply Connected Domains, Andreas Karageorghis, Amir Noorizadegan, C.S. Chen
Faculty Publications

2021

Kansa RBF Collocation Method With Auxiliary Boundary Centres For High Order BVPs, C. S. Chen, Andreas Karageorghis, Lionel Amuzu
Faculty Publications

Multi-valued Solutions for the Equation of Motion, Darcy-Jordan Model, as a Cauchy Problem: A Shocking Event, Chandler Shimp
Master's Theses

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A Modified Preconditioned Conjugate Gradient Method for Approximating the Scattering Amplitude, Samson Ayo
Master's Theses

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On a Stochastic Model of Epidemics, Rachel Prather
Master's Theses

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Ensemble Data Fitting For Bathymetric Models Informed by Nominal Data, Samantha Zambo
Dissertations

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

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

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Efficient Denoising Of High Resolution Color Digital Images Utilizing Krylov Subspace Spectral Methods, Eva Lynn Greenman
Dissertations

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A Network Thermodynamic Analysis of Amyloid Aggregation Along Competing Pathways, P. Ghosh, J. Pateras, Vijay Rangachari, A. Vaidya
Faculty Publications

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

2020

Stability Analysis of Krylov Subspace Spectral Methods for the 1-D Wave Equation in Inhomogeneous Media, Bailey Rester
Master's Theses

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Diagonalization of 1-D Schrodinger Operators with Piecewise Constant Potentials, Sarah Wright
Master's Theses

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Rapid Implicit Diagonalization of Variable-Coefficient Differential Operators Using the Uncertainty Principle, Carley Walker
Master's Theses

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

An Adaptive Approach to Gibbs’ Phenomenon, Jannatul Ferdous Chhoa
Master's Theses

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Variable Compact Multi-Point Upscaling Schemes for Anisotropic Diffusion Problems in Three-Dimensions, James Quinlan
Dissertations

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Twisted Central Configurations of the Eight-Body problem, Gokul Bhusal
Honors Theses

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Probabilistic Analysis of Revenues in Online Games, Nishchal Sapkota
Honors Theses

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Using Modern Portfolio Theory to Analyze Virgil's Aeneid (or Any Other Poem), David Patterson
Master's Theses

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Automatic Numerical Methods for Enhancement of Blurred Text-Images via Optimization and Nonlinear Diffusion, Aaditya Kharel
Honors Theses

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The Long Time Behavior of the Predator-Prey Model with Holling Type III, Regen S. McGee
Honors Theses

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A Time Integration Method of Approximate Particular Solutions for Nonlinear Ordinary Differential Equations, Cyril Ocloo
Master's Theses

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

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

2019

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

Multi-Point Flux Approximations via the O-Method, Christen Leggett
Master's Theses

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

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Comparative Error Analysis of the Black-Scholes Equation, Chuan Chen
Honors Theses

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

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Enhancement of Krylov Subspace Spectral Methods Through the Use of the Residual, Haley Dozier
Dissertations

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2018

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

Adaptive Meshfree Methods for Partial Differential Equations, Jaeyoun Oh
Dissertations

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

Automatic Construction of Scalable Time-Stepping Methods for Stiff PDES, Vivian Ashley Montiforte
Master's Theses

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

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2017

Radial Basis Function Differential Quadrature Method for the Numerical Solution of Partial Differential Equations, Daniel Watson
Dissertations

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Eignefunctions for Partial Differential Equations on Two-Dimensional Domains With Piecewise Constant Coefficients, Abdullah Muheel Momit Aurko
Master's Theses

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

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Numerical Solution of Partial Differential Equations Using Polynomial Particular Solutions, Thir R. Dangal
Dissertations

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

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Efficient Denoising and Sharpening of Color Images through Numerical Solution of Nonlinear Diffusion Equations, Linh T. Duong
Honors Theses

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Solving the Yang-Baxter Matrix Equation, Mallory O. Jennings
Honors Theses

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2016

Fast Method of Particular Solutions for Solving Partial Differential Equations, Anup Raja Lamichhane
Dissertations

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Modern Fair-Weather and Storm Sediment Transport Around Ship Island, Mississippi: Implications for Coastal Habitats and Restoration Efforts, Eve Rettew Eisemann
Master's Theses

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Incremental Projection Approach of Regularization for Inverse Problems, Innocent Souopgui, Hans E. Ngodock, Arthur Vidard, François Xavier Le Dimet
Faculty Publications

Krylov Subspace Spectral Method with Multigrid for a Time-Dependent, Variable-Coefficient Partial Differential Equation, Haley Renee Dozier
Master's Theses

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2015

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

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On the Selection of a Good Shape Parameter for RBF Approximation and Its Application for Solving PDEs, Lei-Hsin Kuo
Dissertations

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

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2014

Approximation of the Scattering Amplitude using Nonsymmetric Saddle Point Matrices, Amber Sumner Robertson
Master's Theses

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Development and Applications of The Expanded Equivalent Fluid Method, Bharath Kumar Kandula
Dissertations

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Multi-Sensory Emotion Recognition with Speech and Facial Expression, Qingmei Yao
Dissertations

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2013

Gene Regulatory Network Reconstruction Using Dynamic Bayesian Networks, Haoni Li
Dissertations

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

2012

Error Estimation Techniques to Refine Overlapping Aerial Image Mosaic Processes via Detected Parameters, William Glenn Bond
Dissertations

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On the Norm Convergence of a Piecewise Linear Least Squares Method for Frobenius-Perron Operators, Jiu Ding, Noah H. Rhee
Faculty Publications

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

Independent Dominating Sets In Triangle-Free Graphs, Wayne Goddard, Jeremy Lyle
Faculty Publications

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2011

Monte Carlo Simulation of Electron-Induced Air Fluorescence Utilizing Mobile Agents: A New Paradigm for Collaborative Scientific Simulation, Christopher Daniel Walker
Dissertations

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To Shift or Not To Shift: Maximizing the Efficiency of a Wireless Sensor Network Using Multiple Sinks, Chabli Boler
Master's Theses

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

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

2010

A Comprehensive Uncertainty Analysis and Method of Geometric Calibration for a Circular Scanning Airborne Lidar, Michael Oliver Gonsalves
Dissertations

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

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

2009

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