Search results


Title

APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS

Author

Semiyari, Hamid

Date Created

2015

SubjectsTopical

Mathematics

Description

We present a new algorithm for approximating solutions of twopoint boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...


Title

Average Genus of Oriented Rational Links

Author

Ray, Dawn

Date Created

2022

SubjectsTopical

Mathematics

Description

The goal of this dissertation is to develop the formulation of the average minimal genus of all reduced alternating rational links with a given crossing number. Work has been done by N. Dunfield to approximate the growth of the genus of knots with...


Title

CrossSectional and Time Series Analysis of Crime Rate Across North Carolina

Author

Johnson, Isabella

Date Created

2022

SubjectsTopical

Statistics, Mathematics

Description

Unemployment rate reached an astronomical high in 2020 due to the Covid19 pandemic.The media began reporting on increasing crime rates due to the unemployment rate rising. The Center for Disease Control (CDC) reported that over 81,000 drug overdo...


Title

Dynamic Modeling of Incomplete Event History Data

Author

Heng, Fei

Date Created

2019

SubjectsTopical

Statistics

Description

Event history analysis has important applications in many fields, such as medicine, engineering, econometrics, actuarial science, and social studies. We usually encounter missing data problems in the modeling of event history data. One typical pro...


Title

ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NONSELFADJOINT OPERATORS

Author

Hulko, Artem

Date Created

2018

SubjectsTopical

Mathematics

Description

In this dissertation we find estimates for the total number of eigenvalues of nonselfadjoint operators. We consider five different operators, three of them discrete and two continuous. Discrete operators are as follows: SchrÃ¶dinger operator defi...


Title

Generalized semiparametric varyingcoefficient models for longitudinal data

Author

Qi, Li

Date Created

2015

SubjectsTopical

Mathematics, Statistics, Biometry

Description

In this dissertation, we investigate the generalized semiparametric varyingcoefficient models for longitudinal data that can flexibly model three types of covariate effects: timeconstant effects, timevarying effects, and covariatevarying effec...


Title

GoodnessofFit Tests Under Permutations

Author

Chen, Chen

Date Created

2019

SubjectsTopical

Statistics, Mathematics, Information science

Description

Several new goodnessoffit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....


Title

High Order H(div) Discontinuous Galerkin Methods for MHD Equations

Author

Wu, Jian

Date Created

2016

SubjectsTopical

Mathematics

Description

In this dissertation, we investigate the divergencefree discontinuous Galerkin method using the $\mathcal{H}$(\textbf{div}) basis, to solve the nonlinear ideal magnetohydrodynamics (MHD) equations. This is a novel approach to ensure the divergenc...


Title

IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA IONCHANNELS

Author

Baker, Katherine

Date Created

2014

SubjectsTopical

Mathematics

Description

We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling package. This method, termed the ImageCharge Solvation Model (ICSM), and introdu...


Title

Improved Bounds on a Combinatorial Problem

Author

Page, Jacob

Date Created

2021

SubjectsTopical

Mathematics

Description

In this paper, we will define a function $H:\N \rightarrow \N$, whose output is the size of an optimized hypergraph based upon the restraints given by its input values. This function is known to be welldefined, however its values are unknown for ...


Title

Inequalities in Education: A Closer Focus on School Discipline

Author

Furukawa, Taylor

Date Created

2023

SubjectsTopical

Education, Statistics, Social sciencesResearch

Description

Disproportionalities in school discipline have become a popular research topic in recent decades, particularly at the school, district, and statelevel. While there are a handful of reports using nationally representative data, this study provid...


Title

Intermittency for Branching random walks with heavy tails.

Author

Getan, Asmaa

Date Created

2016

SubjectsTopical

Mathematics

Description

iic 2016Asmaa GetanALL RIGHTS RESERVEDiiiABSTRACT Branching Markov process models populations in which each individual in generation n produces some random number of individuals in the next generation, n + 1, according to a certain probability di...


Title

Interval Estimation for Semiparametric Predictive Regression

Author

Hong, Shaoxin

Date Created

2018

SubjectsTopical

Statistics

Description

Predictive regression is an important research topic in financial econometrics. Various estimation methods have been proposed for it, but they suffer from complicated asymptotic limits which depend on whether or not the predicting variable is stat...


Title

Inverse source problems for elliptic and parabolic equations

Author

Li, Qitong

Date Created

2019

SubjectsTopical

Mathematics

Description

In this dissertation, we solve two inverse problems. The first one is the inverse source problem for the Helmholtz equation that governs the wave propagating in anisotropic media. The second one is to recover the initial condition for parabolic eq...