Below are theses and dissertations of graduates of the UNLV Mathematical Sciences Department.

For the entire collection of UNLV theses and dissertations, visit UNLV Theses, Dissertations, Professional Papers, and Capstones

#### Theses/Dissertations from 2022

Some Graph Laplacians and Variational Methods Applied to Partial Differential Equations on Graphs, Daniel Anthony Corral

A Survey of the Br´Ezis-Nirenberg Problem and Related Theorems, Edward Huynh

Positive Solutions to Semilinear Elliptic Equations with Logistic-Type Nonlinearities and Harvesting in Exterior Domains, Eric Jameson

#### Theses/Dissertations from 2021

Exploring the Choiceless Cardinal Hierarchy, David Linkletter

Tail-Measurable Functions and Their Corresponding Induced Classes, and Some Determinacy Conditions Involving 3-Player Games, Joshua K. Reagan

#### Theses/Dissertations from 2020

Uncertainty Quantification for Maxwell's Equations, Zhiwei Fang

A Nevanlinna-Type Counting Function and Pullback Measure, John Nguyen

Bayesian Variable Selection Methods for Genome-Wide Association Studies with Categorical Phenotypes, Benazir Rowe

Equivalences of Determinacy Between Levels of the Borel Hierarchy and Long Games, and Some Generalizations, Katherine Aimee Yost

#### Theses/Dissertations from 2019

On Improving Performance of the Binary Logistic Regression Classifier, Michael Chang

Contributions to MCMC Methods in Constrained Domains with Applications to Neuroimaging, Sharang Chaudhry

Characterizing Compact Game Trees, Andrew Dubose

Numerical Analysis and Fluid Flow Modeling of Incompressible Navier-Stokes Equations, Tahj Hill

Weighted Composition Operators on a Bergman-type Reproducing Kernel Hilbert Space, Ming Huo

K-Tuple Sampling From Partially Rank-Ordered Sets, Marvin Javier

Generalized and Higher Dimensional Apollonian Packings, Daniel Lautzenheiser

Numerical Study in the Conservative Arbitrary Lagrangian-Eulerian (ALE) Method for an Unsteady Stokes/Parabolic Interface Problem with Jump Coefficients and a Moving Interface, Michael Joseph Ramirez

An Application of Conformal Mapping to the Boundary Element Method for Unconfined Steady Seepage with a Phreatic Surface, Jorge Eduardo Reyes

#### Theses/Dissertations from 2018

Bi-Directional Testing for Change Point Detection in Poisson Processes, Moinak Bhaduri

Meshless Methods for Numerically Solving Boundary Value Problems of Elliptic Type Partial Differential Equations, Minhwa Choi

A Comparison of the Product Topology on Two Trees with the Tree Topology on the Concatenation of Two Trees, Katlyn Kathleen Cox

Estimation of the Parameters in a Spatial Regressive-Autoregressive Model Using Ord's Eigenvalue Method, Sajib Mahmud Mahmud Tonmoy

Notes on Linear Divisible Sequences and Their Construction: A Computational Approach, Sean Trendell

#### Theses/Dissertations from 2017

Numerical Methods for Option Pricing under the Two-Factor Models, Jiacheng Cai

Investigation of Determinacy for Games of Variable Length, Emi Ikeda

Novel Methods for the Time-Dependent Maxwell’s Equations and their Applications, Sidney Shields

Average Cayley Genus for Groups with Two Generators of Order Greater Than Two, Dawn Sturgeon

#### Theses/Dissertations from 2016

On the Scattering of an Acoustic Plane Wave by a Soft Prolate Spheroid, Joseph Michael Borromeo

#### Theses/Dissertations from 2015

Inverse Problem for Non-viscous Mean Field Control: Example From Traffic, Shaurya Agarwal

Generalized Catalan Numbers and Some Divisibility Properties, Jacob Bobrowski

Solving differential equations with least square and collocation methods, Katayoun Bodouhi Kazemi

Exact Statistical Inferences for Functions of Parameters of the Log-Gamma Distribution, Joseph F. Mcdonald

Generalized Markoff Equations, Euclid Trees, and Chebyshev Polynomials, Donald Joseph Mcginn

A Comparison of Recent Results on the Unicity Conjecture of the Markoff Equation, Brandon John Metz

Modeling studies and numerical analyses of coupled PDEs system in electrohydrodynamics, Yuzhou Sun

A study of sequential inference for the risk ratio and measure of reduction of two binomials, Zhou Wang

#### Theses/Dissertations from 2014

Observability in Traffic Modeling: Eulerian and Lagrangian Coordinates, Sergio Contreras

Modeling and Analysis of Pedestrian Flows, Romesh Khaddar

Numerical Simulations of Traffic Flow Models, Puneet Lakhanpal

N-Dimensional Quasipolar Coordinates - Theory and Application, Tan Mai Nguyen

A Survey of Ekeland's Variational Principle and Related Theorems and Applications, Jessica Robinson

Lattice Methods For The Valuation of Options with Regime Switching, Atul Sancheti

Empirical Studies on Interest Rate Derivatives, Xudong Sun

A Study of Graphical Permutations, Jessica Thune

Exact Controllability of the Lazer-McKenna Suspension Bridge Equation, Lanxuan Yu

A Study of Joinpoint Models for Longitudinal Data, Libo Zhou

#### Theses/Dissertations from 2013

Comparison of Mesh and Meshless Methods for Partial Differential Equations of Galerkin Form, Wallace F. Atterberry

A Gaming Application of the Negative Hypergeometric Distribution, Steven Norman Jones

Generalizations of Pascal's Triangle: A Construction Based Approach, Michael Anton Kuhlmann

Estimation of Travel Time Based on Vehicle-Tracking Models, Anuj Nayyar

A More General Diffusion Model For Lightning Radiative Transfer, Elliott Paul Saint-Pierre

Estimation of the Tax Rates Based on Vehicle Miles Traveled Using Stochastic Models, Pratik Verma

Discontinuous Galerkin Finite Element Methods for Maxwell's Equations in Dispersive and Metamaterials Media, Jiajia Waters

Time-Dependent Random Effect Poisson Random Field Model for Polymorphism within and Between Two Related Species, Shilei Zhou

#### Theses/Dissertations from 2012

Valuation of Financial Derivatives Subject to Liquidity Risk, Yanan Jiang

The Zeta Function of Generalized Markoff Equations over Finite Fields, Juan Mariscal

Periodic Solutions and Positive Solutions of First and Second Order Logistic Type ODEs with Harvesting, Cody Alan Palmer

Analysis of Bank Failure and Size of Assets, Guancun Zhong

#### Theses/Dissertations from 2011

ARIMA models for bank failures: Prediction and comparison, Fangjin Cui

Mathematical modeling of metamaterials, Valjean Elizabeth Elander

A comparison of spatio-temporal prediction methods of cancer incidence in the U.S, Michelle Hamlyn

Zero-sum magic graphs and their null sets, Samuel M. Hansen

Statistical Analysis of Fatalities Due to Vehicle Accidents in Las Vegas, NV, Annabelle Marie Mathis

Statistical inference of a measure for two binomial variates, Serena Petersen

Modeling Mortality Rates for Leukemia Between Men and Women in the United States, Blessed Quansah

Boundary Element Method (BEM) and Method of Fundamental Solutions (MFS) for the boundary value problems of the 2-D Laplace's equation, Ermes Anthony Salgado-Ibarra

A Statistical model for long-term forecasting of strong sand dust storms, Siqi Tan

#### Theses/Dissertations from 2010

Poisson Process Monitoring, Test and Comparison, Qing Chen

ARIMA model for forecasting Poisson data: Application to long-term earthquake predictions, Wangdong Fu

A Front-fixing finite element method for the valuation of American options, Anthony D. Holmes

General coupon collecting models and multinomial games, James Y. Lee

Structures on a K3 surface, Nathan P. Rowe

#### Theses/Dissertations from 2009

Statistical inferences for functions of parameters of several pareto and exponential populations with application in data traffic, Sumith Gunasekera