Explore our collection of dissertations, master's theses, and master's reports from the Department of Mathematical Sciences below.
Theses/Dissertations/Reports from 2024
AN INCREMENTAL MULTISCALE NON–LINEAR MANIFOLD APPROXIMATION METHOD, Praveen T.W. Hettige
DEEP LEARNING, MULTI-STAGED MACHINE LEARNING, AND REINFORCEMENT LEARNING TO IMPROVE CARDIAC RESYNCHRONIZATION THERAPY, Kristoffer A. Larsen
LES-C Turbulence Models and Fluid Flow Modeling: Analysis and Application to Incompressible Turbulence and Fluid-Fluid Interaction, Kyle J. Schwiebert
NEW METHOD FOR COMPUTING THE EUCLIDEAN CONDITION NUMBER WITH RIM-C, Cody McCarthy
ON GRAPH DECOMPOSITIONS AND DESIGNS: EXPLORING THE HAMILTON-WATERLOO PROBLEM WITH A FACTOR OF 6-CYCLES AND PROJECTIVE PLANES OF ORDER 16, Zazil Santizo Huerta
STATISTICAL METHODS FOR GENETIC ASSOCIATION STUDIES AND POLYGENIC RISK SCORE PREDICTION, Lirong Zhu
Theses/Dissertations/Reports from 2023
ADDITIVE P-VALUE COMBINATION TEST, Xing Ling
HIGHER ACCURACY MODELS AND VALIDATION OF LES-C TURBULENCE MODELS, Yasasya Batugedara Mohottalalage
MACHINE LEARNING METHODS FOR PREDICTION OF HUMAN INFECTIOUS VIRUS AND IMPUTATION OF HLA ALLELES, Xiaoqing Gao
NOVEL APPROACHES TO COMPUTE MANIFOLD OPERATORS WITH THE RADIAL BASIS FUNCTIONS METHOD, Jacob James Blazejewski
Statistical methods for gene selection and genetic association studies, Xuewei Cao
STATISTICAL METHODS FOR GWAS AND THE IMPACT OF DIABETIC MEDICATION ADHERENCE ON HEALTHCARE COSTS, Meida Wang
Theses/Dissertations/Reports from 2022
MULTIPLE TESTING CORRECTION IN TIME SERIES ROLLING WINDOW ANALYSIS WITH APPLICATION OF GWAS METHODS, Siyu Wang
STATISTICAL METHOD of GENETIC ASSOCIATION STUDIES, Hongjing Xie
STATISTICAL METHODS FOR CONTROLLING POPULATION STRATIFICATION AND GENE-BASED ASSOCIATION STUDIES, Shijia Yan
Theses/Dissertations/Reports from 2021
CONSTRUCTION AND ANALYSIS OF GENETIC REGULATORY NETWORKS WITH RNA-SEQ DATA FROM ARABIDOPSIS THALIANA, Tessa Kriz
Deterministic and statistical methods for inverse problems with partial data, Yanfang Liu
IMPROVING THE TEMPORAL ACCURACY OF TURBULENCE MODELS AND RESOLVING THE IMPLEMENTATION ISSUES OF FLUID FLOW MODELING, Kyle J. Schwiebert
IMPUTATION OF ORDINAL RESPONSES USING UNIVARIATE BAYESIAN PROBIT MODEL, Weibing Li
Integer Partitions Under Certain Finiteness Conditions, Tim Wagner
Major Index over Descent Distributions of Standard Young Tableaux, Emily Anible
NEW NUMERICAL APPROXIMATIONS OF GEOLOGICAL PROCESSES IN HETEROGENEOUS SYSTEMS USING RADIAL BASIS FUNCTIONS, Nadun Lakshitha Dissanayake Kulasekera Mudiyanselage
STATISTICAL METHODS IN GENETIC STUDIES, CHENG GAO
Theses/Dissertations/Reports from 2020
HIGHER ACCURACY METHODS FOR FLUID FLOWS IN VARIOUS APPLICATIONS: THEORY AND IMPLEMENTATION, Dilek Erkmen
NOVEL GENE-BASED ASSOCIATION TEST BASED ON NEW POLYGENETIC RISK SCORES AND REAL DATA ANALYSIS USING UK BIOBANK COPD DATA, Zhongyuan Hu
Sub-Sampled Matrix Approximations, Joy Azzam
The singular value expansion for compact and non-compact operators, Daniel Crane
UNIFORM THREE-CLASS REGULAR PARTIAL STEINER TRIPLE SYSTEMS WITH UNIFORM DEGREES, Prangya Rani Parida
Theses/Dissertations/Reports from 2019
Approximation of the Generalized Singular Value Expansion, Matthew Jacob Roberts
Bayesian Hypothesis Testing in Linear Regression Models, Lilia Feng
CREDIT RISK ANALYSIS USING MACHINE LEARNING AND NEURAL NETWORKS, Dhruv Dhanesh Thanawala
Discontinuous Galerkin methods for convection-diffusion equations and applications in petroleum engineering, Nattaporn Chuenjarern
Novel Computational Methods for Eigenvalue Problems, Ruihao Huang
Some results on partial difference sets and partial geometries, Eric J. Neubert Jr
STATISTICAL METHODS FOR JOINT ANALYSIS OF MULTIPLE PHENOTYPES AND THEIR APPLICATIONS FOR PHEWAS, Xueling Li
STATISTICAL METHODS FOR MIXED FREQUENCY DATA SAMPLING MODELS, Yun Liu
Universal Central Extensions of Direct Limits of Hom-Lie Superalgebras, Dale Bigler
Theses/Dissertations/Reports from 2018
CUR Matrix Decompositions Method for Joint Analysis of Multiple Phenotypes, Fadhila Yosof
HIGH ACCURACY METHODS AND REGULARIZATION TECHNIQUES FOR FLUID FLOWS AND FLUID-FLUID INTERACTION, Mustafa Aggul
Joint Analysis for Multiple Traits, Zhenchuan Wang
JOINT ANALYSIS OF MULTIPLE PHENOTYPES IN ASSOCIATION STUDIES, Xiaoyu Liang
LITERATURE REVIEW FOR PREDICTING 30-DAY HOSPITAL READMISSION, Sachithra Perera
On the Density of the Odd Values of the Partition Function, Samuel Judge
Pseudo-Companion Matrices for Polynomial Systems, Melinda Kleczynski
Statistical Methods for Analyzing Multivariate Phenotypes and Detecting Rare Variant Associations, Huanhuan Zhu
STATISTICAL METHODS FOR DETECTING CAUSAL RARE VARIANTS AND ANALYZING MULTIPLE PHENOTYPES, Xinlan Yang
SURVIVAL ANALYSIS AND COMPARISON OF ANATOMIC AND CLINICAL PROGNOSTIC STAGE GROUPS FOR BREAST CANCER BASED ON 2803 CASES, Xiaoqing Gao
Theses/Dissertations/Reports from 2017
ANALYSIS OF ALEKS MATHEMATICS PLACEMENT TEST DATA, Teresa Woods
ANALYSIS OF DATA FROM A STUDY TO IDENTIFY POTENTIAL BIOMARKERS TO INDICATE RENAL INJURY, Mitchell D. Tahtinen
COMBINATORIAL PROBLEMS RELATED TO CODES, DESIGNS AND FINITE GEOMETRIES, Mustafa Gezek
DIRECT SAMPLING METHODS FOR INVERSE SCATTERING PROBLEMS, Ala Mahmood Nahar Al Zaalig
Distance magic-type and distance antimagic-type labelings of graphs, Bryan Freyberg
Distribution of permutation statistics across pattern avoidance classes, and the search for a Denert-associated condition equivalent to pattern avoidance, Joshua Thomas Agustin Davies
MODELING AND SIMULATION OF THE PERISTALTIC FLOW OF NEWTONIAN AND NON-NEWTONIAN FLUIDS WITH APPLICATION TO THE HUMAN BODY, Samer Alokaily
Numerical Simulation of Viscoelastic Multiphase Flows Using an Improved Two-phase Flow Solver, Olabanji Shonibare
ON THE EQUIVALENCE BETWEEN BAYESIAN AND FREQUENTIST NONPARAMETRIC HYPOTHESIS TESTING, Qiuchen Hai
Theses/Dissertations/Reports from 2016
A HIGH ACCURACY MINIMALLY INVASIVE REGULARIZATION TECHNIQUE FOR NAVIER-STOKES EQUATIONS AT HIGH REYNOLDS NUMBER, Mustafa Aggul
A SELF-NORMALIZING APPROACH TO THE SPECIFICATION TEST OF MIXED FREQUENCY MODELS, Henriette Groenvik
COMPUTATIONAL METHODS FOR THE INVESTIGATION OF LIQUID DROP PHENOMENA IN EXTERNAL GAS FLOWS, Chao Liang
DEFECT-DEFERRED CORRECTION METHOD FOR THE TWO-DOMAIN CONVECTION-DOMINATED CONVECTION-DIFFUSION PROBLEM, Dilek Erkmen
Design of a Mobile Underwater Charging System, Brian R. Page
IMPROVED PARAMETER ESTIMATION OF THE LOG-LOGISTIC DISTRIBUTION WITH APPLICATIONS, Joseph Reath
LEARNING TO NOTICE AND USE STUDENT THINKING IN UNDERGRADUATE MATHEMATICS COURSES, Anna Pascoe
OBJECTIVE BAYESIAN ANALYSIS OF A GENERALIZED LOGNORMAL DISTRIBUTION, Shengnan Li
Two Problems of Gerhard Ringel, Adrian Pastine
Understanding the Transition from Secondary Education Mathematics to Undergraduate Mathematics, Amanda D. Stenzelbarton
Reports/Theses/Dissertations from 2015
AN ANALYSIS OF MULTIPLICATIVE REGULARIZATION, Elaheh Gorgin
Bayesian change-point analysis in linear regression model with scale mixtures of normal distributions, Shuaimin Kang
BIAS-CORRECTED MAXIMUM LIKELIHOOD ESTIMATION OF THE PARAMETERS OF THE WEIGHTED LINDLEY DISTRIBUTION, Wentao Wang
Decomposing the blocks of a Steiner triple system of order 4v-3 into partial parallel classes of size v-1, Leah C. Tollefson
DYNAMIC MESHING AROUND FLUID-FLUID INTERFACES WITH APPLICATIONS TO DROPLET TRACKING IN CONTRACTION GEOMETRIES, Ahmad Baniabedalruhman
FINITE VOLUME METHODS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH DELTA-SINGULARITIES, Nattaporn Chuenjarern
RATE OF CONVERGENCE OF MAXIMUM LIKELIHOOD ESTIMATORS UNDER RELAXED SMOOTHNESS CONDITIONS ON THE LIKELIHOOD FUNCTION, Brent Halonen
The Bootstrap Estimation In Time Series, Yun Liu
Reports/Theses/Dissertations from 2014
A SURVEY OF DISTANCE MAGIC GRAPHS, Rachel Rupnow
MAXIMAL ARCS, ABOVE AND BEYOND, Diego Domenzain-Gonzale
PARTITIONING THE BLOCKS OF A STEINER TRIPLE SYSTEM INTO PARTIAL PARALLEL CLASSES, Jezerca Hodaj
STUDY OF A DIRECT SAMPLING METHOD FOR THE INVERSE MEDIUM SCATTERING PROBLEM, Natasha Weerasinghe
Variations of the FEAST Eigenvalue Algorithm, Stephanie Kajpust
WEAK ISOMETRIES OF HAMMING SPACES, Ryan Walter Bruner
Reports/Theses/Dissertations from 2013
Benson's Theorem for Partial Geometries, Ellen J. Kamischke
DIMENSION REDUCTION FOR POWER SYSTEM MODELING USING PCA METHODS CONSIDERING INCOMPLETE DATA READINGS, Ting Zhao
IDENTIFICATION OF GENES CONTROLLING BIOLOGICAL PROCESSES AND PATHWAYS THROUGH STATISTICAL ANALYSIS AND NETWORK RECONSTRUCTION, Sapna Kumari
Maximum principle preserving high order schemes for convection-dominated diffusion equations, Yi Jiang
SIMULATIONS OF NEWTONIAN AND NON-NEWTONIAN FLOWS IN DEFORMABLE TUBES, Abdallah A. Al-Habahbeh
STATISTICAL METHODS FOR RARE AND COMMON VARIANT ASSOCIATION STUDIES, Shurong Fang
THREE HUNDRED YEARS OF THE ST. PETERSBURG PARADOX, Keguo Huang
Reports/Theses/Dissertations from 2012
Berry-Esseen bounds for nonlinear statistics, and asymptotic relative efficiency between correlation statistics, Raymond E. Molzon
Large Eddy Simulation of dispersed multiphase flow, Yejun Gong
Modeling spontaneous three-dimensional polymerization, Zhitong Zhao
Numerical solutions of elliptic inverse problems via the equation error method, Mohammad F. Al-Jamal
Simulation study on using moment functions for sufficient dimension reduction , Lipu Tian
Statistical methods for multi-marker testing in genetic association studies, Yilin Dai
Reports/Theses/Dissertations from 2011
Applications of finite geometries to designs and codes, David C. Clark