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Mathematics and Statistics Theses and Dissertations
Theses/dissertations from 2024 2024.
The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan
On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest
Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo
Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain
Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang
Theses/Dissertations from 2023 2023
Statistical Analysis of Ribonucleotide Incorporation in Human Cells , Tejasvi Channagiri
Matrix Models of 2D Critical Phenomena , Nathan Hayford
Data-Driven Learning Algorithm Via Densely-Defined Multiplication Operators and Occupation Kernels. , John Kyei
Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani
Applied Analysis for Learning Architectures , Himanshu Singh
Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze
Recovering generators of principal ideals using subfield structure and applications to cryptography , William Youmans
Theses/Dissertations from 2022 2022
Application of the Riemann-Hilbert method to soliton solutions of a nonlocal reverse-spacetime Sasa-Satsuma equation and a higher-order reverse-time NLS-type equation , Ahmed Ahmed
New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana
Advances and Applications of Optimal Polynomial Approximants , Raymond Centner
Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty
On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly
Methods in Discrete Mathematics to Study DNA Rearrangement Processes , Lina Fajardo Gómez
Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He
Adversarial and Data Poisoning Attacks against Deep Learning , Jing Lin
Exploring the Vulnerability of A Neural Tangent Generalization Attack (NTGA) - Generated Unlearnable CIFAR-10 Dataset , Gitte Ost
Statistical Methods for Reliability Test planning and Data Analysis , Oluwaseun Elizabeth Otunuga
Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias
Effective Statistical and Machine Learning Methods to Analyze Children's Vocabulary Learning , Houston T. Sanders
Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi
A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman
Theses/Dissertations from 2021 2021
Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri
Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi
Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou
Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando
Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu
Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang
Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang
Theses/Dissertations from 2020 2020
Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi
Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun
Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu
On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman
Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek
Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen
Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan
Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop
On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink
Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang
Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala
Theses/Dissertations from 2019 2019
Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian
Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar
Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil
Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter
Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz
Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi
Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi
Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos
The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva
Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak
Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich
An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado
Power Graphs of Quasigroups , DayVon L. Walker
Theses/Dissertations from 2018 2018
Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed
Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai
A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah
Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa
Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields
Generalizations of Quandles and their cohomologies , Matthew J. Green
Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu
Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou
Human Activity Recognition Based on Transfer Learning , Jinyong Pang
Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham
Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel
Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova
Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang
Theses/Dissertations from 2017 2017
Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack
Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon
On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill
Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill
Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly
Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera
Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao
Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati
Dynamics of Multicultural Social Networks , Kristina B. Hilton
Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi
Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally
Patterns in Words Related to DNA Rearrangements , Lukas Nabergall
Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na
Schreier Graphs of Thompson's Group T , Allen Pennington
Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya
Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo
Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi
Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou
Theses/Dissertations from 2016 2016
A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea
Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery
Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman
On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr
Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim
Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano
Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure
Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru
Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park
Leonard Systems and their Friends , Jonathan Spiewak
Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun
Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu
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Mathematics PhD theses
A selection of Mathematics PhD thesis titles is listed below, some of which are available online:
2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991
Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits
Anne Sophie Rojahn – Localised adaptive Particle Filters for large scale operational NWP model
Melanie Kobras – Low order models of storm track variability
Ed Clark – Vectorial Variational Problems in L∞ and Applications to Data Assimilation
Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes
Chiara Cecilia Maiocchi – Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems
Samuel R Harrison – Stalactite Inspired Thin Film Flow
Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability
Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions
Jennifer E. Israelsson – The spatial statistical distribution for multiple rainfall intensities over Ghana
Giulia Carigi – Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics
André Macedo – Local-global principles for norms
Tsz Yan Leung – Weather Predictability: Some Theoretical Considerations
Jehan Alswaihli – Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations
Jemima M Tabeart – On the treatment of correlated observation errors in data assimilation
Chris Davies – Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems
Birzhan Ayanbayev – Some Problems in Vectorial Calculus of Variations in L∞
Penpark Sirimark – Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation
Adam Barker – Path Properties of Levy Processes
Hasen Mekki Öztürk – Spectra of Indefinite Linear Operator Pencils
Carlo Cafaro – Information gain that convective-scale models bring to probabilistic weather forecasts
Nicola Thorn – The boundedness and spectral properties of multiplicative Toeplitz operators
James Jackaman – Finite element methods as geometric structure preserving algorithms
Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics
Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface
Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations
Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)
Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)
Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)
Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)
Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)
Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)
Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)
Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)
Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)
Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)
Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)
Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)
Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)
Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)
Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)
Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)
Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)
Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)
Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)
Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)
Mark Parsons - Mathematical Modelling of Evolving Networks
Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring
David Gilbert - Analysis of large-scale atmospheric flows
Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)
Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)
Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)
Cassandra A.J. Moran - Wave scattering by harbours and offshore structures
Ashley Twigger - Boundary element methods for high frequency scattering
David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)
Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)
Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)
Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)
Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)
Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)
Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)
Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)
R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)
G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)
C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.
P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)
L. Bennetts - Wave scattering by ice sheets of varying thickness
M. Preston - Boundary Integral Equations method for 3-D water waves
J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)
D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)
S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)
J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)
L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems
M. Hunt - Unique extension of atomic functionals of JB*-Triples
D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications
T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill
C. Hughes - On the topographical scattering and near-trapping of water waves
B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems
D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows
M. Henderson - Extending the edge-colouring of graphs
K. Allen - The propagation of large scale sediment structures in closed channels
D. Cariolaro - The 1-Factorization problem and same related conjectures
A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples
D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling
S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction
C. Johnson - Information Content of Observations in Variational Data Assimilation
M.A. Wakefield - Bounds on Quantities of Physical Interest
M. Johnson - Some problems on graphs and designs
A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts
R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems
J.V. Morgan - Numerical Methods for Macroscopic Traffic Models
M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling
M. Martin - Data Assimilation in Ocean circulation models with systematic errors
K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations
J. Hudson - Numerical Techniques for Morphodynamic Modelling
A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .
C.J.Smith - The semi lagrangian method in atmospheric modelling
T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow
M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.
P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.
M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors
P. Sims - Interface Tracking using Lagrangian Eulerian Methods.
P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.
B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.
S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.
I. Sciriha - On Some Aspects of Graph Spectra.
P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.
J.F. Goodwin - Developing a practical approach to water wave scattering problems.
N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.
L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.
A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .
J. Bryans - Denotational semantic models for real-time LOTOS.
I. MacDonald - Analysis and computation of steady open channel flow .
A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.
S.M. Allen - Extended edge-colourings of graphs.
M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.
C.J. Chikunji - On the classification of finite rings.
S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.
D.J. Staziker - Water wave scattering by undulating bed topography .
K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .
D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .
M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .
M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .
S.M. Stringer - The use of robust observers in the simulation of gas supply networks .
S.L. Wakelin - Variational principles and the finite element method for channel flows. .
E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .
C.P. Reeves - Moving finite elements and overturning solutions .
A.J. Malcolm - Data dependent triangular grid generation. .
BYU ScholarsArchive
Home > Computational, Mathematical, and Physical Sciences > Mathematics Education > Theses and Dissertations
Mathematics Education Theses and Dissertations
Theses/dissertations from 2024 2024.
Rigorous Verification of Stability of Ideal Gas Layers , Damian Anderson
Documentation of Norm Negotiation in a Secondary Mathematics Classroom , Michelle R. Bagley
New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting
Theses/Dissertations from 2023 2023
Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales
Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff
Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley
Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson
Theses/Dissertations from 2022 2022
Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll
Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon
Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena
The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper
Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby
Structural Reasoning with Rational Expressions , Dana Steinhorst
Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong
Theses/Dissertations from 2021 2021
Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams
You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer
Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens
Theses/Dissertations from 2020 2020
Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway
Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen
Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe
Theses/Dissertations from 2019 2019
Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson
Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson
Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis
“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross
Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark
Theses/Dissertations from 2018 2018
Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason
How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job
Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau
Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky
Theses/Dissertations from 2017 2017
Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard
Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard
Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville
Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga
Theses/Dissertations from 2016 2016
The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis
Insight into Student Conceptions of Proof , Steven Daniel Lauzon
Theses/Dissertations from 2015 2015
Teacher Participation and Motivation inProfessional Development , Krystal A. Hill
Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet
English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill
Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich
Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts
Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson
Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke
Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise
Theses/Dissertations from 2014 2014
The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams
Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch
Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd
Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton
An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen
Theses/Dissertations from 2013 2013
Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo
Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau
Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc
Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele
Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk
Theses/Dissertations from 2012 2012
Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call
Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons
Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson
Mathematics Teacher Time Allocation , Ashley Martin Jones
Theses/Dissertations from 2011 2011
How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell
Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce
A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams
Theses/Dissertations from 2010 2010
Growth in Students' Conceptions of Mathematical Induction , John David Gruver
Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart
Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon
Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams
Theses/Dissertations from 2009 2009
A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick
The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling
Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak
Theses/Dissertations from 2008 2008
Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon
How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks
Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill
Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson
Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb
Theses/Dissertations from 2007 2007
Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff
What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff
Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow
One Problem, Two Contexts , Danielle L. Gigger
The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry
Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer
Theses/Dissertations from 2006 2006
How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras
Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz
The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze
Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing
What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb
Theses/Dissertations from 2005 2005
Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff
An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen
Theses/Dissertations from 2004 2004
Reasoning About Motion: A Case Study , Tiffini Lynn Glaze
Theses/Dissertations from 2003 2003
An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford
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Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations
Mathematics Theses and Dissertations
Theses/dissertations from 2024 2024.
Erlang-Distributed SEIR Epidemic Models with Cross-Diffusion , Victoria Chebotaeva
Global Well-Posedness of Nonlocal Differential Equations Arising from Traffic Flow , Thomas Joseph Hamori
Representation Dimensions of Algebraic Tori and Symmetric Ranks of G-Lattices , Jason Bailey Heath
Modeling, Analysis, Approximation, and Application of Viscoelastic Structures and Anomalous Transport , Yiqun Li
Macro–Micro-Coupled Simulations of Bead–Spring Breaking-Reforming Networks , Andrei Medved
Generalizations of the Graham-Pollak Tree Theorem , Gabrielle Anne Tauscheck
Theses/Dissertations from 2023 2023
Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton
On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes
Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li
Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner
Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng
Theses/Dissertations from 2022 2022
Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings
The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha
Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay
Tangled up in Tanglegrams , Drew Joseph Scalzo
Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith
Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson
Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock
Theses/Dissertations from 2021 2021
Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington
Polynomials, Primes and the PTE Problem , Joseph C. Foster
Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat
A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara
Trimming Complexes , Keller VandeBogert
Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang
Theses/Dissertations from 2020 2020
An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea
Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice
Rationality Questions and the Derived Category , Alicia Lamarche
Counting Number Fields by Discriminant , Harsh Mehta
Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen
Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih
Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick
Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen
Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang
An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan
Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng
Theses/Dissertations from 2019 2019
Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood
On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark
A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar
Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes
Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell
Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin
Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu
An Implementation of the Kapustin-Li Formula , Jessica Otis
A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer
A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig
Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch
On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann
An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm
Dynamical Entropy of Quantum Random Walks , Duncan Wright
Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang
Theses/Dissertations from 2018 2018
Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed
Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai
Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran
Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman
A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna
Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard
Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson
Graph Homomorphisms and Vector Colorings , Michael Robert Levet
Local Rings and Golod Homomorphisms , Thomas Schnibben
States and the Numerical Range in the Regular Algebra , James Patrick Sweeney
Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao
Theses/Dissertations from 2017 2017
On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins
Subdivision of Measures of Squares , Dylan Bates
Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev
Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov
Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey
Nonequispaced Fast Fourier Transform , David Hughey
Deep Learning: An Exposition , Ryan Kingery
A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis
Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders
Theses/Dissertations from 2016 2016
On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein
Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu
Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky
On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich
Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short
Chebyshev Inversion of the Radon Transform , Jared Cameron Szi
Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang
Theses/Dissertations from 2015 2015
Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung
The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton
Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner
Avoiding Doubled Words in Strings of Symbols , Michael Lane
A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin
Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh
Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith
Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang
Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao
Theses/Dissertations from 2014 2014
The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard
Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn
Independence Polynomials , Gregory Matthew Ferrin
Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston
On the Group of Transvections of ADE-Diagrams , Marvin Jones
Fake Real Quadratic Orders , Richard Michael Oh
Theses/Dissertations from 2013 2013
Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown
Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole
Deducing Vertex Weights From Empirical Occupation Times , David Collins
Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler
Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove
Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy
Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington
The Weierstrass Approximation Theorem , LaRita Barnwell Hipp
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Home > Colleges and Schools > Sciences > Mathematics & Statistics > ETDs
Mathematics & Statistics Theses & Dissertations
Theses and dissertations published by graduate students in the Department of Mathematics and Statistics, College of Sciences, Old Dominion University, since Fall 2016 are available in this collection. Backfiles of all dissertations (and some theses) have also been added.
In late Fall 2025, all theses will be digitized and available here. In the meantime, consult the Library Catalog to find older items in print.
Theses/Dissertations from 2024 2024
Dissertation: On Weighted Sequence Spaces , Gilbert D. Acheampong
Dissertation: Scaled and Graduated Learning in Deep RELU Networks and Reconstructing Depp Inelastic Scattering Kinematics , Abdullah Ayar Farhat
Dissertation: Accelerating the Efficiency of Multiscale Hybridizable Discontinuos Galerkin Methods for Flows in Heterogeneous Media , Tony Charles Haines
Dissertation: Parallel-In-Time Implicit Schemes for Nonlinear PDEs , Subhash Paudel
Dissertation: Contributions to Nonparametric Testing in Clustered Data , Hasika Kalani Wickrama Senevirathne
Dissertation: Deep Learning in Reproducing Kernel Banach Spaces , Mingsong Yan
Theses/Dissertations from 2023 2023
Dissertation: Inference for Multiple Utility in Time-Dependent Choice Pairs Under Copula-Based Models , Sasanka Adikari
Dissertation: Copula Based Models for Bivariate Zero-Inflated Count Time Series Data , Dimuthu Fernando
Theses/Dissertations from 2022 2022
Dissertation: A Direct Method for Modeling and Simulations of Elliptic and Parabolic Interface Problems , Kumudu Janani Gamage
Dissertation: Statistical Methods for Meta-Analysis in Large-Scale Genomic Experiments , Wimarsha Thathsarani Jayanetti
Dissertation: Inexact Fixed-Point Proximity Algorithms for Nonsmooth Convex Optimization , Jin Ren
Dissertation: Kinetic Simulations of Active Nematic Polymers in Channel Flow , Lacey Savoie Schenk
Theses/Dissertations from 2021 2021
Dissertation: Electrohydrodynamic Simulations of Capsule Deformation Using a Dual Time-Stepping Lattice Boltzmann Scheme , Charles Leland Armstrong
Dissertation: Finite Difference Schemes for Integral Equations with Minimal Regularity Requirements , Wesley Cameron Davis
Dissertation: On the p -Inner Functions of ℓ p A , James G. Dragas
Dissertation: A Copula Model Approach to Identify the Differential Gene Expression , Prasansha Liyanaarachchi
Dissertation: High-Order Positivity-Preserving L 2 -Stable Spectral Collocation Schemes for the 3-D Compressible Navier-Stokes Equations , Johnathon Keith Upperman
Theses/Dissertations from 2020 2020
Dissertation: Inference and Estimation in Change Point Models for Censored Data , Kristine Gierz
Dissertation: D-Vine Pair-Copula Models for Longitudinal Binary Data , Huihui Lin
Dissertation: Investigating the Feasibility and Stability for Modeling Acoustic Wave Scattering Using a Time-Domain Boundary Integral Equation with Impedance Boundary Condition , Michelle E. Rodio
Theses/Dissertations from 2019 2019
Dissertation: Copula-Based Zero-Inflated Count Time Series Models , Mohammed Sulaiman Alqawba
Dissertation: Spatio-Temporal Cluster Detection and Local Moran Statistics of Point Processes , Jennifer L. Matthews
Dissertation: Electrohydrodynamic Simulations of the Deformation of Liquid-Filled Capsules , Pai Song
Theses/Dissertations from 2018 2018
Dissertation: Extended Poisson Models for Count Data With Inflated Frequencies , Monika Arora
Dissertation: Approximation of Quantiles of Rank Test Statistics Using Almost Sure Limit Theorems , Mark Ledbetter
Theses/Dissertations from 2017 2017
Dissertation: A Partitioned Approach for Computing Fluid-Structure Interaction, With Application to Tumor Modeling and Simulation , Asim Timalsina
Dissertation: Methods for Analyzing Attribute-Level Best-Worst Discrete Choice Experiments , Amanda Faye Working
Theses/Dissertations from 2016 2016
Dissertation: Analysis off Dependent Discrete Choices Using Gaussian Copula , Arjun Poddar
Theses/Dissertations from 2015 2015
Dissertation: Wavelet Collocation Method for Hammerstein Integral Equations of High Dimension , Xingwang Chen
Dissertation: Modeling and Simulation of Molecular Couette Flows and Related Flows , Wei Li
Dissertation: Supervised Classification Using Copula and Mixture Copula , Sumen Sen
Dissertation: Zero-Inflated Models to Identify Transcription Factor Binding Sites in ChIP-seq Experiments , Sameera Dhananjaya Viswakula
Theses/Dissertations from 2014 2014
Dissertation: Modeling and Simulation of Shape Changes of Red Blood Cells in Shear Flow , John Gounley
Dissertation: Computational Solutions of the Forward and Adjoint Euler Equations with Application to Duct Aeroacoustics , Ibrahim Kocaogul
Dissertation: Ray- and Wave-Theoretic Approach to Electromagnetic Scattering from Radially Inhomogeneous Spheres and Cylinders , Michael A. Pohrivchak
Dissertation: Analyzing Cholera Dynamics in Homogeneous and Heterogeneous Environments , Drew Posny
Dissertation: Bivariate Doubly Inflated Poisson and Related Regression Models , Pooja Sengupta
Theses/Dissertations from 2013 2013
Dissertation: Modelling Locally Changing Variance Structured Time Series Data By Using Breakpoints Bootstrap Filtering , Rajan Lamichhane
Dissertation: Optimal Control Modeling and Simulation, with Application to Cholera Dynamics , Chairat Modnak
Dissertation: Analysis of Continuous Longitudinal Data with ARMA(1, 1) and Antedependence Correlation Structures , Sirisha Mushti
Dissertation: Topics in Electromagnetic, Acoustic, and Potential Scattering Theory , Umaporn Nuntaplook
Dissertation: Analysis and Simulation of Kinetic Model for Active Suspensions , Panon Phuworawong
Theses/Dissertations from 2012 2012
Dissertation: A Statistical Model to Determine Multiple Binding Sites of a Transcription Factor on DNA Using ChIP-seq Data , Rasika Jayatillake
Dissertation: Analysis of Discrete Choice Probit Models with Structured Correlation Matrices , Bhaskara Ravi
Theses/Dissertations from 2011 2011
Dissertation: An Extensible Mathematical Model of Glucose Metabolism , Caleb L. Adams
Dissertation: Perfectly Matched Layer Absorbing Boundary Conditions for the Discrete Velocity Boltzmann-BGK Equation , Elena Craig
Dissertation: A Three Dimensional Green's Function Solution Technique for the Transport of Heavy Ions in Laboratory and Space , Candice Rockell Gerstner
Dissertation: Modeling and Analysis of Repeated Ordinal Data Using Copula Based Likelihoods and Estimating Equation Methods , Raghavendra Rao Kurada
Dissertation: The Doubly Inflated Poisson and Related Regression Models , Manasi Sheth-Chandra
Dissertation: A Least Squares Closure Approximation for Liquid Crystalline Polymers , Traci Ann Sievenpiper
Theses/Dissertations from 2010 2010
Dissertation: A Solution of the Heat Equation with the Discontinuous Galerkin Method Using a Multilivel Calculation Method That Utilizes a Multiresolution Wavelet Basis , Robert Gregory Brown
Dissertation: Semi-Parametric Likelihood Functions for Bivariate Survival Data , S. H. Sathish Indika
Dissertation: Mathematical Models and Stability Analysis of Cholera Dynamics , Shu Liao
Dissertation: Canonical Correlation Analysis for Longitudinal Data , Raymond McCollum
Dissertation: Post-Processing Techniques and Wavelet Applications for Hammerstein Integral Equations , Khomsan Neamprem
Dissertation: A Study of Relationships Between Family Members Using Familial Correlations , Corinne Wilson
Dissertation: Analysis of Models for Longitudinal and Clustered Binary Data , Weiming Yang
Dissertation: Rao's Quadratic Entropy and Some New Applications , Yueqin Zhao
Theses/Dissertations from 2009 2009
Dissertation: An Adaptive Method for Calculating Blow-Up Solutions , Charles F. Touron
Theses/Dissertations from 2008 2008
Dissertation: DGM-FD: A Finite Difference Scheme Based on the Discontinuous Galerkin Method , Anne Marguerite Fernando
Dissertation: Improved Constrained Global Optimization for Estimating Molecular Structure From Atomic Distances , Terri Marie Grant
Dissertation: Analysis and Application of Perfectly Matched Layer Absorbing Boundary Conditions for Computational Aeroacoustics , Sarah Anne Parrish
Theses/Dissertations from 2007 2007
Dissertation: A Technique for Solving the Singular Integral Equations of Potential Theory , Brian George Burns
Dissertation: The Computation of Exact Green's Functions in Acoustic Analogy By a Spectral Collocation Boundary Element Method , Andrea D. Jones
Dissertation: Modeling and Efficient Estimation of Intra-Family Correlations , Roy Sabo
Dissertation: Three Methods for Solving the Low Energy Neutron Boltzmann Equation , Tony Charles Slaba
Dissertation: Canonical Correlation and Correspondence Analysis of Longitudinal Data , Jayesh Srivastava
Dissertation: On the Use of Quasi-Newton Methods for the Minimization of Convex Quadratic Splines , William Howard Thomas II
Theses/Dissertations from 2006 2006
Dissertation: Efficient Unbiased Estimating Equations for Analyzing Structured Correlation Matrices , Yihao Deng
Dissertation: Estimating Familial Correlations Using a Kotz Type Density , Amal Helu
Dissertation: An Implicit Level Set Model for Firespread , Pallop Huabsomboon
Dissertation: Hessian Matrix-Free Lagrange-Newton-Krylov-Schur-Schwarz Methods for Elliptic Inverse Problems , Widodo Samyono
Theses/Dissertations from 2005 2005
Dissertation: Statistical Analysis of Longitudinal and Multivariate Discrete Data , Deepak Mav
Dissertation: Principal Component Regression for Construction of Wing Weight Estimation Models , Humberto Rocha
Dissertation: The Straggling Green's Function Method for Ion Transport , Steven Andrew Walker
Theses/Dissertations from 2003 2003
Dissertation: A Forward-Backward Fluence Model for the Low-Energy Neutron Boltzmann Equation , Gary Alan Feldman
Dissertation: Multi-Symplectic Integrators for Nonlinear Wave Equations , Alvaro Lucas Islas
Dissertation: Superconvergence of Iterated Solutions for Linear and Nonlinear Integral Equations: Wavelet Applications , Boriboon Novaprateep
Dissertation: Analysis of Multivariate Data Using Kotz Type Distribution , Kusaya Plungpongpun
Dissertation: Estimation of Parameters in Replicated Time Series Regression Models , Genming Shi
Theses/Dissertations from 2002 2002
Dissertation: Nearly Balanced and Resolvable Block Designs , Brian Henry Reck
Theses/Dissertations from 2001 2001
Dissertation: Mathematical Models of Quiescent Solar Prominences , Iain McKaig
Theses/Dissertations from 2000 2000
Dissertation: Diffusion Problems in Wound Healing and a Scattering Approach to Immune System Interactions , Julia Suzanne Arnold
Theses/Dissertations from 1999 1999
Dissertation: A Numerical Solution of Low-Energy Neutron Boltzmann Equation , Martha Sue Clowdsley
Theses/Dissertations from 1998 1998
Dissertation: Mathematical Models of Tumors and Their Remote Metastases , Carryn Bellomo
Dissertation: Error-Correcting Codes Associated With Generalized Hadamard Matrices Over Groups , Iem H. Heng
Dissertation: Superconvergence in Iterated Solutions of Integral Equations , Peter A. Padilla
Dissertation: The Solution of Hypersingular Integral Equations With Applications in Acoustics and Fracture Mechanics , Richard S. St. John
Dissertation: Reaction-Diffusion Models of Cancer Dispersion , Kim Yvette Ward
Theses/Dissertations from 1997 1997
Dissertation: Analysis of Repeated Measures Data Under Circular Covariance , Andrew Montgomery Hartley
Dissertation: Reverse Engineering of Aircraft Wing Data Using a Partial Differential Equation Surface Model , Jacalyn M. Huband
Dissertation: High-Order Finite-Difference Schemes and Their Application to Computational Acoustics , Joe Leo Manthey
Dissertation: Mark-Recapture Creel Survey and Survival Models , Shampa Saha
Theses/Dissertations from 1996 1996
Dissertation: Exact Solutions for Orthogonal and Non-Orthogonal Magnetohydrodynamic Stagnation-Point Flow , Shahrooz Moosavizadeh
Dissertation: Linear Models for Multivariate Repeated Measures Data , Shantha S. Rao
Dissertation: Optimality and Construction of Designs with Generalized Group Divisible Structure , Sudesh K. Srivastav
Theses/Dissertations from 1995 1995
Dissertation: Thermal Ignition Analysis in the Laminar Boundary Layer Behind a Propagating Shock Front , Mushtaq Ahmed Khan
Dissertation: Studies of Mixing Processes in Gases and Effects on Combustion and Stability , Frank Paul Kozusko Jr.
Dissertation: Nozzle Flow with Vibrational Nonequilibrium , John Gary Landry
Dissertation: Mathematical Models of Chemotherapy , John Carl Panetta
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Home > FACULTIES > Applied Mathematics > APMATHS-ETD
Applied Mathematics Theses and Dissertations
This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository
Theses/Dissertations from 2024 2024
Osculating Curves , Sepideh Bahrami
Host-Pathogen Co-evolution with Various Transmission Modes of Infection and Density-Dependent Dynamics , bita ghodsi
Impact of fluctuating selection on genetic variation when new mutations are expected to be deleterious , Zahra Shafiei
Impact of Energy Allocation on Fish's Age and Weight at Maturation by Mathematical Models , Siyi Zhang
Theses/Dissertations from 2023 2023
Visual Cortical Traveling Waves: From Spontaneous Spiking Populations to Stimulus-Evoked Models of Short-Term Prediction , Gabriel B. Benigno
Spike-Time Neural Codes and their Implication for Memory , Alexandra Busch
Study of Behaviour Change and Impact on Infectious Disease Dynamics by Mathematical Models , Tianyu Cheng
Series Expansions of Lambert W and Related Functions , Jacob Imre
Data-Driven Exploration of Coarse-Grained Equations: Harnessing Machine Learning , Elham Kianiharchegani
Pythagorean Vectors and Rational Orthonormal Matrices , Aishat Olagunju
The Magnetic Field of Protostar-Disk-Outflow Systems , Mahmoud Sharkawi
A Highly Charged Topic: Intrinsically Disordered Proteins and Protein pKa Values , Carter J. Wilson
Population Dynamics and Bifurcations in Predator-Prey Systems with Allee Effect , Yanni Zeng
Theses/Dissertations from 2022 2022
A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites , Venkat Bala
On the Spatial Modelling of Biological Invasions , Tedi Ramaj
Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models , Yuzhu Ruan
A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection , George N. Shillcock
Theses/Dissertations from 2021 2021
Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation , Gianfranco Bino
Mathematical Modelling of Ecological Systems in Patchy Environments , Ao Li
Credit Risk Measurement and Application based on BP Neural Networks , Jingshi Luo
Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts , Evan J. Mitchell
SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra , Steven A. Silber
Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses , Yang Wang
Theses/Dissertations from 2020 2020
The journey of a single polymer chain to a nanopore , Navid Afrasiabian
Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection , Andrew Day
Multi-Scale Evolution of Virulence of HIV-1 , David W. Dick
Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes. , Nickolas Goncharenko
Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes , Amjad Khan
The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics , Omid Mozafar
Mathematical modelling of prophage dynamics , Tyler Pattenden
Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra , Leili Rafiee Sevyeri
Abelian Integral Method and its Application , Xianbo Sun
Theses/Dissertations from 2019 2019
Algebraic Companions and Linearizations , Eunice Y. S. Chan
Algorithms for Mappings and Symmetries of Differential Equations , Zahra Mohammadi
Algorithms for Bohemian Matrices , Steven E. Thornton
A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals , Jeet Trivedi
Theses/Dissertations from 2018 2018
Properties and Computation of the Inverse of the Gamma function , Folitse Komla Amenyou
Optimization Studies and Applications: in Retail Gasoline Market , Daero Kim
Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups , Cody Koykka
Investigation of chaos in biological systems , Navaneeth Mohan
Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model , Xiangyu Wang
Ecology and Evolution of Dispersal in Metapopulations , Jingjing Xu
Selected Topics in Quantization and Renormalization of Gauge Fields , Chenguang Zhao
Three Essays on Structural Models , Xinghua Zhou
Theses/Dissertations from 2017 2017
On Honey Bee Colony Dynamics and Disease Transmission , Matthew I. Betti
Simulation of driven elastic spheres in a Newtonian fluid , Shikhar M. Dwivedi
Feasible Computation in Symbolic and Numeric Integration , Robert H.C. Moir
Modelling Walleye Population and Its Cannibalism Effect , Quan Zhou
Theses/Dissertations from 2016 2016
Dynamics of Discs in a Nematic Liquid Crystal , Alena Antipova
Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay , Nicole Bastow
A comparison of solution methods for Mandelbrot-like polynomials , Eunice Y. S. Chan
A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation , Joshua D. Dunn
Universal Scaling Properties After Quantum Quenches , Damian Andres Galante
Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function , Deepakshi Madaan
Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir , Alina Nadeem
A Sequence of Symmetric Bézout Matrix Polynomials , Leili Rafiee Sevyeri
Study of Infectious Diseases by Mathematical Models: Predictions and Controls , SM Ashrafur Rahman
The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics , Jennifer NS Reid
Essays in Market Structure and Liquidity , Adrian J. Walton
Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods , Fei Wang
Studying Both Direct and Indirect Effects in Predator-Prey Interaction , Xiaoying Wang
Theses/Dissertations from 2015 2015
The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model , Nicole E. Drakos
Algorithms to Compute Characteristic Classes , Martin Helmer
Studies of Contingent Capital Bonds , Jingya Li
Determination of Lie superalgebras of supersymmetries of super differential equations , Xuan Liu
Edge states and quantum Hall phases in graphene , Pavlo Piatkovskyi
Evolution of Mobile Promoters in Prokaryotic Genomes. , Mahnaz Rabbani
Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses , Alexandre Scott
Theses/Dissertations from 2014 2014
A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels , Mona Habibi
Study of Virus Dynamics by Mathematical Models , Xiulan Lai
Applications of Stochastic Control in Energy Real Options and Market Illiquidity , Christian Maxwell
Options Pricing and Hedging in a Regime-Switching Volatility Model , Melissa A. Mielkie
Optimal Contract Design for Co-development of Companion Diagnostics , Rodney T. Tembo
Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation , Yun Tian
Understanding Recurrent Disease: A Dynamical Systems Approach , Wenjing Zhang
Theses/Dissertations from 2013 2013
Pricing and Hedging Index Options with a Dominant Constituent Stock , Helen Cheyne
On evolution dynamics and strategies in some host-parasite models , Liman Dai
Valuation of the Peterborough Prison Social Impact Bond , Majid Hasan
Sensitivity Analysis of Minimum Variance Portfolios , Xiaohu Ji
Eigenvalue Methods for Interpolation Bases , Piers W. Lawrence
Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids , Frances E. Mackay
Ecological Constraints and the Evolution of Cooperative Breeding , David McLeod
A single cell based model for cell divisions with spontaneous topology changes , Anna Mkrtchyan
Analysis of Re-advanceable Mortgages , Almas Naseem
Modeling leafhopper populations and their role in transmitting plant diseases. , Ji Ruan
Topological properties of modular networks, with a focus on networks of functional connections in the human brain , Estefania Ruiz Vargas
Computation Sequences for Series and Polynomials , Yiming Zhang
Theses/Dissertations from 2012 2012
A Real Options Valuation of Renewable Energy Projects , Natasha Burke
Approximate methods for dynamic portfolio allocation under transaction costs , Nabeel Butt
Optimal clustering techniques for metagenomic sequencing data , Erik T. Cameron
Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials , Niloufar Faghihi
Molecular Dynamics Simulations of Peptide-Mineral Interactions , Susanna Hug
Molecular Dynamics Studies of Water Flow in Carbon Nanotubes , Alexander D. Marshall
Valuation of Multiple Exercise Options , T. James Marshall
Incomplete Market Models of Carbon Emissions Markets , Walid Mnif
Topics in Field Theory , Alexander Patrushev
Pricing and Trading American Put Options under Sub-Optimal Exercise Policies , William Wei Xing
Further applications of higher-order Markov chains and developments in regime-switching models , Xiaojing Xi
Theses/Dissertations from 2011 2011
Bifurcations and Stability in Models of Infectious Diseases , Bernard S. Chan
Real Options Models in Real Estate , Jin Won Choi
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This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
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Stability conditions and group actions , modelling of dense stellar systems with central black holes , discrete and quasilinear variants of the generalised kpz equation , tractable convex relaxations of nonconvex quadratic optimization problems , extreme values in higher-order markov chains and decomposable graphical models , classification of extremal black holes , lie algebras of derivations and their universal enveloping algebras , kinetic langevin monte carlo methods , rationality and equivariant birational geometry of fano varieties , clustering of single-cell rna sequencing datasets with the hierarchical dirichlet process , efficient monte carlo methods for bayesian state-space model inference , well-posedness of nonlinear schrödinger equations from deterministic and probabilistic viewpoints , applications and improvements of the adaptive large neighbourhood search , lᵖ boundary value problems for elliptic and parabolic operators , twistor theory and its applications in asymptotically flat spacetimes , theory and simulation of interacting particle systems and mckean-vlasov processes: the super measure class, ergodicity, and weak error , spencer cohomology, supersymmetry and the structure of killing superalgebras , higher triangulated categories and fourier-mukai transforms on abelian surfaces and threefolds , investigating computer aided assessment of mathematical proof by varying the format of students' answers and the structure of assessment design by stack , estimation and application of bayesian hawkes process models .
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Theses/Projects/Dissertations from 2022. PDF. SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS, Diddier Andrade. PDF. The Examination of the Arithmetic Surface (3, 5) Over Q, Rachel J. Arguelles. PDF.
Theses/Dissertations from 2022. PDF. Application of the Riemann-Hilbert method to soliton solutions of a nonlocal reverse-spacetime Sasa-Satsuma equation and a higher-order reverse-time NLS-type equation, Ahmed Ahmed. PDF.
Hasen Mekki Öztürk – Spectra of Indefinite Linear Operator Pencils. Carlo Cafaro – Information gain that convective-scale models bring to probabilistic weather forecasts. Nicola Thorn – The boundedness and spectral properties of multiplicative Toeplitz operators.
Brigham Young University's open access repository's section for electronic theses and dissertations concerning mathematics education.
Theses/Dissertations from 2021. PDF. Simulation of Pituitary Organogenesis in Two Dimensions, Chace E. Covington. PDF. Polynomials, Primes and the PTE Problem, Joseph C. Foster. PDF. Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values, Jacob Juillerat. PDF.
a summary of the thesis and the preliminaries. In the section preliminaries, the notations and terminologies used in the upcoming chapters are detailed. Basic ideas and de nitions needed for the development of the thesis are provided. Some basic concepts of graph theory, domination in graphs, distance in graphs 3
O'Reilly, Gerard Aidan (University of St Andrews, 2021-11-30) - Thesis Separability properties can be seen as generalisations of residual finiteness. In this thesis we investigate four such properties: monogenic subalgebra separability, weak subalgebra separability, strong subalgebra ...
Theses and dissertations published by graduate students in the Department of Mathematics and Statistics, College of Sciences, Old Dominion University, since Fall 2016 are available in this collection. Backfiles of all dissertations (and some theses) have also been added.
This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository. Follow. Theses/Dissertations from 2024. PDF. Osculating Curves, Sepideh Bahrami. PDF.
This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record. This material is presented to ensure timely dissemination of scholarly and technical work.