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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
Optimal Selection of Good Polynomials and Constructions of Locally Recoverable Codes via Galois Theory , Austin Dukes
Improvements in Computational Techniques For Determining Ideal Class Groups and Class Numbers , Muhammed Rashad Erukulangara
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
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Home > Mathematics and Statistics > MathStat TDs > Masters Theses
Mathematics and Statistics Masters Theses
Theses from 2024 2024.
A New Proper Orthogonal Decomposition Method with Second Difference Quotients for the Wave Equation , Andrew Calvin Janes
Comparative Study of Crypto Volatility and Price Forecasting using a Mixture of Time Series and Machine Learning Models , Abhishek Kafle
The Deep BSDE Method , Daniel Kovach
The Exponential Function in Discrete Fractional Calculus under the Delta Operator , Brayton James Link
Cryptographic Algorithms, Cryptocurrencies, and a Predictive Model of Bitcoin Value by Pls Regression , Paul Kenneth O'Connor
Theses from 2023 2023
The Application of Statistical Modeling to Identify Genetic Associations with Mild Traumatic Brain Injury Outcomes , Caroline Schott
Meta-Analysis of Mesenchymal Stem Cell Gene Expression Data from Obese and Non-Obese Patients , Dakota William Shields
Theses from 2022 2022
Continuous and discrete models for optimal harvesting in fisheries , Nagham Abbas Al Qubbanchee
Several problems in nonlinear Schrödinger equations , Tim Van Hoose
Theses from 2020 2020
Decoupled finite element methods for general steady two-dimensional Boussinesq equations , Lioba Boveleth
Quantifying effects of sleep deprivation on cognitive performance , Quang Nghia Le
The application of machine learning models in the concussion diagnosis process , Sujit Subhash
Theses from 2019 2019
Less is more: Beating the market with recurrent reinforcement learning , Louis Kurt Bernhard Steinmeister
Theses from 2018 2018
Models for high dimensional spatially correlated risks and application to thunderstorm loss data in Texas , Tobias Merk
An investigation of the influence of the 2007-2009 recession on the day of the week effect for the S&P 500 and its sectors , Marcel Alwin Trick
Theses from 2017 2017
The pantograph equation in quantum calculus , Thomas Griebel
Comparing region level testing methods for differential DNA methylation analysis , Arnold Albert Harder
A review of random matrix theory with an application to biological data , Jesse Aaron Marks
Family-based association studies of autism in boys via facial-feature clusters , Luke Andrew Settles
Theses from 2016 2016
Pricing of geometric Asian options in general affine stochastic volatility models , Johannes Ruppert
On the double chain ladder for reserve estimation with bootstrap applications , Larissa Schoepf
Theses from 2015 2015
Some combinatorial applications of Sage, an open source program , Jessica Ruth Chowning
Day of the week effect in returns and volatility of the S&P 500 sector indices , Juan Liu
Application of loglinear models to claims triangle runoff data , Netanya Lee Martin
Theses from 2014 2014
Adaptive wavelet discretization of tensor products in H-Tucker format , Mazen Ali
An iterative algorithm for variational data assimilation problems , Xin Shen
Statistical analysis of sleep patterns in Drosophila melanogaster , Luyang Wang
Theses from 2013 2013
Statistical analysis of microarray data in sleep deprivation , Stephanie Marie Berhorst
Immersed finite element method for interface problems with algebraic multigrid solver , Wenqiang Feng
Theses from 2012 2012
Abel dynamic equations of the first and second kind , Sabrina Heike Streipert
Lattice residuability , Philip Theodore Thiem
Theses from 2011 2011
A time series approach to electric load modelling , Matthias Benjamin Noller
Theses from 2010 2010
Closed-form solutions to discrete-time portfolio optimization problems , Mathias Christian Goeggel
Inverse limits with upper semi-continuous set valued bonding functions: an example , Christopher David Jacobsen
Theses from 2009 2009
The analogue of the iterated logarithm for quantum difference equations , Karl Friedrich Ulrich
Theses from 2008 2008
Modeling particulate matter emissions indices at the Hartsfield-Jackson Atlanta International Airport , Lu Gan
The dynamic multiplier-accelerator model in economics , Julius Severi Heim
Dynamic equations with piecewise continuous argument , Christian Keller
Theses from 2007 2007
Ostrowski and Grüss inequalities on time scales , Thomas Matthews
The Black-Scholes equation in quantum calculus , Christian Müttel
Computerized proofs of hypergeometric identities: Methods, advances, and limitations , Paul Nathaniel Runnion
Screening for noise variables , Lisa Trautwein
Theses from 2006 2006
Distance function applications of object comparison in artificial vision systems , Christina Michelle Ayres
Sensitivity analysis on the relationship between alcohol abuse or dependence and wages , Tim Jensen
Sensitivity analysis on the relationship between alcohol abuse or dependence and annual hours worked , Stefan Koerner
Endogeneity bias and two-stage least squares: a simulation study , Xujun Wang
Theses from 2005 2005
Local compactness of the hyperspace of connected subsets , Robbie A. Beane
A sequential approach to supersaturated design , Angela Marie Jugan
Tests for gene-treatment interaction in microarray data analysis , Wanrong Yin
Theses from 2003 2003
Pricing of European options , Dirk Rohmeder
Prediction intervals for the binomial distribution with dependent trials , Florian Sebastian Rueck
Theses from 2002 2002
The use of a Marakov dependent Bernoulli process to model the relationship between employment status and drug use , Kathrin Koetting
Theses from 2000 2000
Inverse limits on [0,1] using sequences of piecewise linear unimodal bonding maps , Brian Edward Raines
Theses from 1998 1998
A two-stage step-stress accelerated life testing scheme , Phyllis E. Pound Singer
Theses from 1997 1997
Some properties of hereditarily indecomposable chainable continua , Thomas John Kacvinsky
Theses from 1996 1996
The Axiom of Choice, well-ordering property, Continuum Hypothesis, and other meta-mathematical considerations , Daniel Collins
Theses from 1994 1994
Approximate distributional results for tolerance limits and confidence limits on reliability based on the maximum likelihood estimators for the logistic distribution , Teriann Collins
Theses from 1986 1986
Investigating the output angular acceleration extrema of the planar four bar mechanism , Matthew H. Koebbe
Theses from 1984 1984
Approximating distributions in order restricted inference : the simple tree ordering , Tuan Anh Tran
Theses from 1982 1982
Goodness-of-fit for the Weibull distribution with unknown parameters and censored sampling. , Michael Edward Aho
Theses from 1979 1979
On L convergence of Fourier series. , William O. Bray
Theses from 1977 1977
Characterizations of inner product spaces. , John Lee Roy Williams
Theses from 1975 1975
A study of several substitution ciphers using mathematical models. , Wanda Louise Garner
Theses from 1974 1974
Models for molecular vibration , Allan Bruce Capps
The completions of local rings and their modules. , Christopher Scott Taber
Linear geometry , Phyllis L. Thomas
Theses from 1971 1971
Integrability of the sums of the trigonometric series 1/2 aₒ + ∞ [over] Σ [over] n=1 a n cos nΘ and ∞ [over] Σ [over] n=1 a n sin nΘ , John William Garrett
Inclusion theorems for boundary value problems for delay differential equations , Leon M. Hall
Theses from 1965 1965
A study of certain conservative sets for parameters in the linear statistical model , Roger Alan Chapin
Comparison of methods to select a probability model , Howard Lyndal Colburn
Latent class analysis and information retrieval , George Loyd Jensen
Linear and quadratic programming with more than one objective function , William John Lodholz
Tschebyscheff fitting with polynomials and nonlinear functions , George F. Luffel
Theses from 1964 1964
The effect of matrix condition in the solution of a system of linear algebraic equations. , Herbert R. Alcorn
Estimation and tabulation of bias coefficients for regression analysis in incompletely specified linear models. , Harry Kerry Edwards
A study of a method for selecting the best of two or more mathematical models , August J. Garver
A study of methods for estimating parameters in the model y(t) = A₁e -p₁t + A₂e -p₂t + ϵ , Gerald Nicholas Haas
A parameter perturbation procedure for obtaining a solution to systems of nonlinear equations. , James Carlton Helm
A study of stability of numerical solution for parabolic partial differential equations. , Tsang-Chi Huang
A numerical study of Van Der Pol's nonlinear differential equation for various values of the parameter E. , Charles C. Limbaugh
A study on estimating parameters restricted by linear inequalities , William Lawrence May
Minimization of Boolean functions. , Don Laroy Rogier
A method to give the best linear combination of order statistics to estimate the mean of any symmetric population , Robert M. Smith
On a numerical solution of Dirichlet type problems with singularity on the boundary. , Randall Loran Yoakum
Theses from 1963 1963
A study of methods for estimating parameters in rational polynomial models , Thomas B. Baird
Investigation of measures of ill-conditioning , Thomas D. Calton
A numerical approach to a Sturm-Liouville type problem with variable coefficients and its application to heat transfer and temperature prediction in the lower atmosphere. , Troyce Don Jones
A study of methods for determining confidence intervals for the mean of a normal distribution with unknown varience by comparison of average lengths , Karl Richard Kneile
Stability properties of various predictor corrector methods for solving ordinary differential equations numerically. , Charles Edward. Leslie
Mathematical techniques in the solution of boundary value problems. , Vincent Paul Pusateri
A modified algorithm for Henrici's solution of y' ' = f (x,y) , Frank Garnett Walters
Theses from 1962 1962
An investigation of Lehmer's method for finding the roots of polynomial equations using the Royal-McBee LGP-30 , James W. Joiner
Theses from 1931 1931
The spinning top , Aaron Jefferson Miles
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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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Mathematics MSc dissertations
The Department of Mathematics and Statistics was host until 2014 to the MSc course in the Mathematics of Scientific and Industrial Computation (previously known as Numerical Solution of Differential Equations) and the MSc course in Mathematical and Numerical Modelling of the Atmosphere and Oceans. A selection of dissertation titles are listed below, some of which are available online:
2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991
2014: Mathematics of Scientific and Industrial Computation
Amanda Hynes - Slow and superfast diffusion of contaminant species through porous media
2014: Applicable and Numerical Mathematics
Emine Akkus - Estimating forecast error covariance matrices with ensembles
Rabindra Gurung - Numerical solution of an ODE system arising in photosynthesis
2013: Mathematics of Scientific and Industrial Computation
Zeinab Zargar - Modelling of Hot Water Flooding as an Enhanced Oil Recovery Method
Siti Mazulianawati Haji Majid - Numerical Approximation of Similarity in Nonlinear Diffusion Equations
2013: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Yu Chau Lam - Drag and Momentum Fluxes Produced by Mountain Waves
Josie Dodd - A Moving Mesh Approach to Modelling the Grounding Line in Glaciology
2012: Mathematics of Scientific and Industrial Computation
Chris Louder - Mathematical Techniques of Image Processing
Jonathan Muir - Flux Modelling of Polynyas
Naomi Withey - Computer Simulations of Dipolar Fluids Using Ewald Summations
2012: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Jean-Francois Vuillaume - Numerical prediction of flood plains using a Lagrangian approach
2011: Mathematics of Scientific and Industrial Computation
Tudor Ciochina - The Closest Point Method
Theodora Eleftheriou - Moving Mesh Methods Using Monitor Functions for the Porous Medium Equation
Melios Michael - Self-Consistent Field Calculations on a Variable Resolution Grid
2011: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Peter Barnet - Rain Drop Growth by Collision and Coalescence
Matthew Edgington - Moving Mesh Methods for Semi-Linear Problems
Samuel Groth - Light Scattering by Penetrable Convex Polygons
Charlotte Kong - Comparison of Approximate Riemann Solvers
Amy Jackson - Estimation of Parameters in Traffic Flow Models Using Data Assimilation
Bruce Main - Solving Richards' Equation Using Fixed and Moving Mesh Schemes
Justin Prince - Fast Diffusion in Porous Media
Carl Svoboda - Reynolds Averaged Radiative Transfer Model
2010: Mathematics of Scientific and Industrial Computation
Tahnia Appasawmy - Wave Reflection and Trapping in a Two Dimensional Duct
Nicholas Bird - Univariate Aspects of Covariance Modelling within Operational Atmospheric Data Assimilation
Michael Conland - Numerical Approximation of a Quenching Problem
Katy Shearer - Mathematical Modelling of the regulation and uptake of dietary fats
Peter Westwood - A Moving Mesh Finite Element Approach for the Cahn-Hilliard Equation
Kam Wong - Accuracy of a Moving Mesh Numerical Method applied to the Self-similar Solution of Nonlinear PDEs
2010: Mathematical and Numerical Modelling of the Atmosphere and Oceans
James Barlow - Computation and Analysis of Baroclinic Rossby Wave Rays in the Atlantic and Pacific Oceans
Martin Conway - Heat Transfer in a Buried Pipe
Simon Driscoll - The Earth's Atmospheric Angular Momentum Budget and its Representation in Reanalysis Observation Datasets and Climate Models
George Fitton - A Comparative Study of Computational Methods in Cosmic Gas Dynamics Continued
Fay Luxford - Skewness of Atmospheric Flow Associated with a Wobbling Jetstream
Jesse Norris - A Semi-Analytic Approach to Baroclinic Instability on the African Easterly Jet
Robert J. Smith - Minimising Time-Stepping Errors in Numerical Models of the Atmosphere and Ocean
Amandeep Virdi - The Influence of the Agulhas Leakage on the Overturning Circulation from Momentum Balances
2009: Mathematics of Scientific and Industrial Computation
Charlotta Howarth - Integral Equation Formulations for Scattering Problems
David Fairbairn - Comparison of the Ensemble Transform Kalman Filter with the Ensemble Transform Kalman Smoother
Mark Payne - Mathematical Modelling of Platelet Signalling Pathways Mesh Generation and its application to Finite Element Methods
Mary Pham - Mesh Generation and its application to Finite Element Methods
Sarah Cole - Blow-up in a Chemotaxis Model Using a Moving Mesh Method
2009: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Danila Volpi - Estimation of parameters in traffic flow models using data assimilation
Dale Partridge - Analysis and Computation of a Simple Glacier Model using Moving Grids
David MacLeod - Evaluation of precipitation over the Middle East and Mediterranean in high resolution climate models
Joanne Pocock - Ensemble Data Assimilation: How Many Members Do We Need?
Neeral Shah - Impact and implications of climate variability and change on glacier mass balance in Kenya
Tomos Roberts - Non-oscillatory interpolation for the Semi-Lagrangian scheme
Zak Kipling - Error growth in medium-range forecasting models
Zoe Gumm - Bragg Resonance by Ripple Beds
2008: Mathematics of Scientific and Industrial Computation
Muhammad Akram - Linear and Quadratic Finite Elements for a Moving Mesh Method
Andrew Ash - Examination of non-Time Harmonic Radio Waves Incident on Plasmas
Cassandra Moran - Harbour modelling and resonances
Elena Panti - Boundary Element Method for Heat Transfer in a Buried Pipe
Juri Parrinello - Modelling water uptake in rice using moving meshes
Ashley Twigger - Blow-up in the Nonlinear Schrodinger Equation Using an Adaptive Mesh Method
Chloe Ward - Numerical Evaluation of Oscillatory Integrals
Christopher Warner - Forward and Inverse Water-Wave Scattering by Topography
2008: Mathematical and Numerical Modelling of the Atmosphere and Oceans
Fawzi Al Busaidi - Fawzi Albusaidi
Christopher Bowden - A First Step Towards the Calculation of a Connectivity Matrix for the Great Barrier Reef
Evangelia-Maria Giannakopoulou - Flood Prediction and Uncertainty
Victoria Heighton - 'Every snowflake is different'
Thomas Jordan - Does Self-Organised Criticality Occur in the Tropical Convective System?
Gillian Morrison - Numerical Modelling of Tidal Bores using a Moving Mesh
Rachel Pritchard - Evaluation of Fractional Dispersion Models
2007: Numerical solution of differential equations
Tamsin Lee - New methods for approximating acoustic wave transmission through ducts (PDF 2.5MB)
Lee Morgan - Anomalous diffusion (PDF-1.5MB)
Keith Pham - Finite element modelling of multi-asset barrier options (PDF-3MB)
Alastair Radcliffe - Finite element modelling of the atmosphere using the shallow water equations (PDF-2.5MB)
Sanita Vetra - The computation of spectral representations for evolution PDE (PDF-3.2MB)
2007: Mathematical and numerical modelling of the atmosphere and oceans
Laura Baker - Properties of the ensemble Kalman filter (PDF-3.8MB)
Alison Brass - A moving mesh method for the discontinuous Galerkin finite element technique (PDF-916KB)
Daniel Lucas - Application of the phase/amplitude method to the study of trapped waves in the atmosphere and oceans (PDF-1.1MB)
Duduzile Nhlengethwa - Petrol or diesel (PDF-1MB)
Rhiannon Roberts - Modelling glacier flow (PDF-406KB)
David Skinner - A moving mesh finite element method for the shallow water equations (PDF-4.3MB)
Jovan Stojsavljevic - Investigation of waiting times in non-linear diffusion equations using a moving mesh method (PDF-538KB)
2006: Numerical solution of differential equations
Bonhi Bhattacharya - A moving finite element method for high order nonlinear diffusion problems
Jonathan Coleman - High frequency boundary element methods for scattering by complex polygons
Rachael England - The use of numerical methods in solving pricing problems for exotic financial derivatives with a stochastic volatility
Stefan King - Best fits with adjustable nodes and scale invariance
Edmund Ridley - Analysis of integral operators from scattering problems
Nicholas Robertson - A moving Lagrangian mesh model of a lava dome volcano and talus slope
2006: Mathematical and numerical modelling of the atmosphere and oceans
Iain Davison - Scale analysis of short term forecast errors
Richard Silveira - Electromagnetic scattering by simple ice crystal shapes
Nicola Stone - Development of a simplified adaptive finite element model of the Gulf Stream
Halina Watson - The behaviour of 4-D Var for a highly nonlinear system
2005: Numerical solution of differential equations
Jonathan Aitken - Data dependent mesh generation for peicewise linear interpolation
Stephen Arden - A collocation method for high frequency scattering by convex polygons
Shaun Benbow - Numerical methods for american options
Stewart Chidlow - Approximations to linear wave scattering by topography using an integral equation approach
Philip McLaughlin - Outdoor sound propagation and the boundary element method
Antonis Neochoritis - Numerical modelling of islands and capture zone size distributions in thin film growth
Kylie Osman - Numerical schemes for a non-linear diffusion problem
Shaun Potticary - Efficient evaluation of highly oscillatory integrals
Martyn Taylor - Investigation into how the reduction of length scales affects the flow of viscoelastic fluid in parallel plate geometries
Aanand Venkatramanan - American spread option pricing
2005: Mathematical and numerical modelling of the atmosphere and oceans
Richard Fruehmann - Ageostrophic wind storms in the central Caspian sea
Gemma Furness - Using optimal estimation theory for improved rainfall rates from polarization radar
Edward Hawkins - Vorticity extremes in numerical simulations of 2-D geostrophic turbulence
Robert Horton - Two dimensional turbulence in the atmosphere and oceans
David Livings - Aspects of the ensemble Kalman filter
David Sproson - Energetics and vertical structure of the thermohaline circulation
2004: Numerical solution of differential equations
Rakhib Ahmed - Numerical schemes applied to the Burgers and Buckley-Leverett equations
James Atkinson - Embedding methods for the numerical solution of convolution equations
Catherine Campbell-Grant - A comparative study of computational methods in cosmic gas dynamics
Paresh Prema - Numerical modelling of Island ripening
Mark Webber - The point source methods in inverse acoustic scattering
2004: Mathematical and numerical modelling of the atmosphere and oceans
Oliver Browne - Improving global glacier modelling by the inclusion of parameterised subgrid hypsometry within a three-dimensional, dynamical ice sheet model
Petros Dalakakis - Radar scattering by ice crystals
Eleanor Gosling - Flow through porous media: recovering permeability data from incomplete information by function fitting .
Sarah Grintzevitch - Heat waves: their climatic and biometeorological nature in two north american reigions
Helen Mansley - Dense water overflows and cascades
Polly Smith - Application of conservation laws with source terms to the shallow water equations and crowd dynamics
Peter Taylor - Application of parameter estimation to meteorology and food processing
2003: Numerical solution of differential equations
Kate Alexander - Investigation of a new macroscopic model of traffic flow
Luke Bennetts - An application of the re-iterated Galerkin approximation in 2-dimensions
Peter Spence - The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries
Daniel Vollmer - Adaptive mesh refinement using subdivision of unstructured elements for conservation laws
2003: Mathematical and numerical modelling of the atmosphere and oceans
Clare Harris - The Valuation of weather derivatives using partial differential equations
Sarah Kew - Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation
Emma Quaile - Rotation dominated flow over a ridge
Jemma Shipton - Gravity waves in multilayer systems
2002: Numerical solution of differential equations
Winnie Chung - A Spectral Method for the Black Scholes Equations
Penny Marno - Crowded Macroscopic and Microscopic Models for Pedestrian Dynamics
Malachy McConnell - On the numerical solution of selected integrable non-linear wave equations
Stavri Mylona - An Application of Kepler's Problem to Formation Flying using the Störmer-Verlet Method
2002: Mathematical and numerical modelling of the atmosphere and oceans
Sarah Brodie - Numerical Modelling of Stratospheric Temperature Changes and their Possible Causes
Matt Sayer - Upper Ocean Variability in the Equatorial Pacific on Diurnal to Intra-seasonal Timescales
Laura Stanton - Linearising the Kepler problem for 4D-var Data Assimilation
2001: Numerical solution of differential equations
R.B. Brad - An Implementation of the Box Scheme for use on Transcritical Problems
D. Garwood - A Comparison of two approaches for the Approximating of 2-D Scattered Data, with Applications to Geological Modelling
R. Hawkes - Mesh Movement Algorithms for Non-linear Fisher-type Equations
P. Jelfs - Conjugate Gradients with Rational and Floating Point Arithmetic
M. Maisey - Vorticity Preserving Lax-Wendroff Type Schemes
C.A. Radcliffe - Positive Schemes for the Linear Advection Equation
2000: Numerical solution of differential equations
D. Brown - Two Data Assimilation Techniques for Linear Multi-input Systems.
S. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives.
C. Freshwater - The Muskingum-Cunge Method for Flood Routing.
S.H. Man - Galerkin Methods for Coupled Integral Equations.
A. Laird - A New Method for Solving the 2-D Advection Equation.
T. McDowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems.
M. Shahrill - Explicit Schemes for Finding Soliton Solutions of the Korteweg-de Vries Equation.
B. Weston - A Marker and Cell Solution of the Incompressible Navier-Stokes Equations for Free Surface Flow.
1999: Numerical solution of differential equations
M. Ariffin - Grid Equidistribution via Various Algorithmic Approaches.
S.J. Fletcher - Numerical Approximations to Bouyancy Advection in the Eddy Model.
N.Fulcher - The Finite Element Approximation of the Natural Frequencies of a Circular Drum.
V. Green - A Financial Model and Application of the Semi-Lagrangian Time-Stepping Scheme.
D.A. Parry - Construction of Symplectic Runge-Kutta Methods and their Potential for Molecular Dynamics Application.
S.C. Smith - The Evolution of Travelling Waves in a Simple Model for an Ionic Autocatalytic System
P. Swain - Numerical Investigations of Vorticity Preserving Lax-Wendroff Type Schemes.
M. Wakefield - Variational Methods for Upscaling.
1998: Numerical solution of differential equations
C.C. Anderson - A dual-porosity model for simulating the preferential movement of water in the unsaturated zone of a chalk aquifer.
K.W. Blake - Contour zoning.
M.R. Garvie - A comparison of cell-mapping techniques for basins of attraction.
W. Gaudin - HYDRA: a 3-d MPP Eulerian hydrocode.
D. Gnandi - Alternating direction implicit method applied to stochastic problems in derivative finance.
J. Hudson - Numerical techniques for conservation laws with source terms. .
H.S. Khela - The boundary integral method.
K. Singh - A comparison of numerical schemes for pricing bond options.
1997: Numerical solution of differential equations
R.V. Egan - Chaotic response of the Duffing equation. A numerical investigation into the dynamics of the non-linear vibration equation.
R.G. Higgs - Nonlinear diffusion in reservoir simulation.
P.B. Horrocks - Fokker-Planck model of stochastic acceleration: a study of finite difference schemes.
M.A. Wlasek - Variational data assimilation: a study.
1996: Numerical solution of differential equations
A. Barnes - Reaction-diffusion waves in an isothermal chemical system with a general order of autocatalysis.
S.J. Leary - Mesh movement and mesh subdivision.
S. McAllister - First and second order complex differential equations.
R.K. Sadhra - Investigating dynamical systems using the cell-to-cell mapping.
J.P. Wilson - A refined numerical model of sediment deposition on saltmarshes.
1995: Numerical solution of differential equations
M. Bishop - The modelling and analysis of the equations of motion of floating bodies on regular waves.
J. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst.
S. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics.
R. Coad - 1-D and 2-D simulations of open channel flows using upwinding schemes.
1994: Numerical solution of differential equations
M. Ali - Application of control techniques to solving linear systems of equations .
M.H. Brookes - An investigation of a dual-porosity model for the simulation of unsaturated flow in a porous medium .
A.J. Crossley - Application of Roe's scheme to the shallow water equations on the sphere .
D.A. Kirkland - Huge singular values and the distance to instability. .
B.M. Neil - An investigation of the dynamics of several equidistribution schemes .
1993: Numerical solution of differential equations
P.A. Burton - Re-iterative methods for integral equations .
J.M. Hobbs - A moving finite element approach to semiconductor process modelling in 1-D. .
L.M. Whitfield - The application of optimal control theory to life cycle strategies .
S.J. Woolnough - A numerical model of sediment deposition on saltmarshes .
1992: Numerical solution of differential equations
I. MacDonald - The numerical solution of free surface/pressurized flow in pipes. .
A.D. Pollard - Preconditioned conjugate gradient methods for serial and parallel computers. .
C.J. Smith - Adaptive finite difference solutions for convection and convection-diffusion problems .
1991: Numerical solution of differential equations
K.J. Neylon - Block iterative methods for three-dimensional groundwater flow models .
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