Mathematics (Applied)
Globally convergent numerical methods for several inverse problems based on Carleman estimates
Doctoral Candidate Name: Thi Thu Thuy Le Program: Mathematics (Applied) Defense Date and Time: April 5, 2023 – 11:00 AM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Loc Nguyen Committee Members: Dr. Michael Klibanov, Dr. Taufiquar Khan, Dr. Vasily Astratov Abstract: This dissertation focuses on developing efficient numerical methods and theoretical analysis for solving […]
Globally convergent numerical methods for several inverse problems based on Carleman estimates
Doctoral Candidate Name: Thi Thu Thuy Le Program: Mathematics (Applied) Defense Date and Time: April 5, 2023 – 11:00 AM Defense Location: Fretwell 315 Committee chair’s Name: Dr. Loc H. Nguyen Committee Members: Dr. Michael Klibanov, Dr. Taufiquar Khan, Dr. Vasily Astratov Abstract: This dissertation is focused on developing efficient numerical methods and theoretical analysis […]
Asymptotic Normality of Higher Order Turing Formulae
Doctoral Candidate Name: Jie Chang Program: Mathematics (Applied) Defense Date and Time: October 14, 2022 – 2:00 PM Defense Location: https://charlotte-edu.zoom.us/j/97032159477 Committee chair’s Name: Dr. Michael Grabchak Committee Members: Dr. Jiancheng Jiang, Dr. Eliana Christou, Dr. Donald Jacobs Abstract: Higher order Turing formulae, denoted as T_r for r ∈ Z+, are a powerful result allowing […]
The Average Genus of Oriented Rational Links
Doctoral Candidate Name: Dawn Ray Program: Mathematics (Applied) Defense Date and Time: June 30, 2022 – 1:00 PM Defense Location: Zoom meeting Committee chair’s Name: Yuanan Diao Committee Members: Gabor Hetyei, William Brian, Anthony Brizendine Abstract: The goal of this thesis is to enumerate the number of oriented rational knots and the number of oriented […]
Writhe-like Invariants of Alternating Links
Doctoral Candidate Name: Van Pham Program: Mathematics (Applied) Defense Date and Time: May 27, 2022 – 9:00 AM Defense Location: Zoom meeting: https://uncc.zoom.us/j/93152863269 Committee chair’s Name: Dr. Yuanan Diao Committee Members: Dr. Gabor Hetyei, Dr. Alan Dow, Dr. Jose Gamez Abstract: The writhe is a quantity calculated from crossing signs of a link diagram. It […]
The general non-stationary Anderson Parabolic Model with correlated white noise
Doctoral Candidate Name: Xiaoyun Chen Program: Mathematics (Applied) Defense Date and Time: March 29, 2022 – 2:00 PM Defense Location: Online via Zoom Committee chair’s Name: Dr. Stanislav Molchanov Committee Members: Dr. Micheal Grabchak, Dr. Aziz Issaka, Dr. Jeremy Holleman Abstract: This dissertation contains the analysis of the general lattice non-stationary Anderson parabolic model with […]
Estimation and Simulation for Multivariate Tempered Stable Distributions with Applications To Finance
Doctoral Candidate Name: Yunfei Xia Program: Mathematics (Applied) Defense Date and Time: March 24, 2022 – 11:00 AM Defense Location: Online via Zoom Committee chair’s Name: Dr. Michael Grabchak Committee Members: Dr. Stanislav Molchanov, Dr. Isaac Sonin, Dr. Weidong Tian Abstract: In this thesis, we introduce a methodology for the simulation and parameter estimation of […]
Estimation and Simulation for Multivariate Tempered Stable Distributions with Applications To Finance
Doctoral Candidate Name: Yunfei Xia Program: Mathematics (Applied) Defense Date and Time: March 24, 2022 – 11:00 AM Defense Location: Online via Zoom Committee chair’s Name: Dr. Michael Grabchak Committee Members: Dr. Stanislav Molchanov, Dr. Isaac Sonin, Dr. Weidong Tian Abstract: In this thesis, we introduce a methodology for the simulation and parameter estimation of […]
Distance Based Linear Regression Model and Its Application to Microbiome Association Studies
Doctoral Candidate Name: Masoumeh Sheikhi Kiasari Program: Mathematics (Applied) Defense Date and Time: November 11, 2021 – 1:00 PM Defense Location: Conference Room, Department of Mathematics and Statistics Committee chair’s Name: Committee Members: Abstract: In the past few decades, pairwise distance based statistical methods have been developed to identify spatial and/or temporal clusters of disease, […]
Multivariate functional predictor selection
Doctoral Candidate Name: Ali Mahzarnia Program: Mathematics (Applied) Defense Date and Time: November 8, 2021 – 9:00 AM Defense Location: Virtual Committee chair’s Name: Dr. Jun Song Committee Members: Dr. Michael Grabchak, Dr. Jiancheng Jiang, Dr. Sara M. Levens Abstract: We propose methods for functional predictor selection and the estimation of smooth functional coefficients simultaneously […]