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Start Over Graduate Program Mathematics Committee Member Xiantao Li

1. AN ENERGETIC VARIATIONAL APPROACH TO MODELING COMPLEX FLUIDS AND ITS NUMERICAL SIMULATIONS

open_access
Open Access
Author:
Sun, Huan
Title:
AN ENERGETIC VARIATIONAL APPROACH TO MODELING COMPLEX FLUIDS AND ITS NUMERICAL SIMULATIONS
Graduate Program:
Mathematics
Keywords:
PDE
variational techniques
complex fluids
numerical simulations
File:
Download thesis_main.pdf
Committee Members:
Chun Liu And James Brannick, Dissertation Advisor/Co-Advisor
Chun Liu, Committee Chair/Co-Chair
James Joseph Brannick, Committee Chair/Co-Chair
Xiantao Li, Committee Member
Yuxi Zheng, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Ralph H Colby, Committee Member

2. Phase field model for the nucleation in solid state phase transformations: Theories, Algorithms and Applications

open_access
Open Access
Author:
Zhang, Lei
Title:
Phase field model for the nucleation in solid state phase transformations: Theories, Algorithms and Applications
Graduate Program:
Mathematics
Keywords:
Phase field
nucleation
critical nucleus
solid state
File:
Download Lei-Dissertation.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Long Qing Chen, Committee Member
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member

3. ANALYSIS OF DETERMINISTIC AND STOCHASTIC IMPLICIT INTERFACE MODELS OF FLUID-INTERFACE INTERACTIONS

open_access
Open Access
Author:
Li, Manlin
Title:
ANALYSIS OF DETERMINISTIC AND STOCHASTIC IMPLICIT INTERFACE MODELS OF FLUID-INTERFACE INTERACTIONS
Graduate Program:
Mathematics
Keywords:
SIIM
phase field
implict interface
File:
Download Thesis-ManlinLi.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
John Fricks, Committee Member

4. Abstract Principal Component Analysis And Applications To Model Reduction

open_access
Open Access
Author:
Li, Tianjiang
Title:
Abstract Principal Component Analysis And Applications To Model Reduction
Graduate Program:
Mathematics
Keywords:
Banach operator algebra
standing and traveling waves
signal decomposition
extraction of transient modes
abstract principal component analysis
data mining
File:
Download Li-Dissertation.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Anna L Mazzucato, Committee Member
Runze Li, Committee Member

5. POPULATION DYNAMICS MODELING OF HETEROTYPIC CELL AGGREGATIONS AND RELATED PARAMETER IDENTIFICATION PROBLEMS

open_access
Open Access
Author:
Ma, Yanping
Title:
POPULATION DYNAMICS MODELING OF HETEROTYPIC CELL AGGREGATIONS AND RELATED PARAMETER IDENTIFICATION PROBLEMS
Graduate Program:
Mathematics
Keywords:
Population dynamics
Bayesian framework
inverse problem
cell coagulation
cancer metastasis
File:
Download Ma_Thesis_Final.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Cheng Dong, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Cheng Dong, Committee Chair/Co-Chair
Xiantao Li, Committee Member
John Fricks, Committee Member
Qiang Du; Cheng Dong, Dissertation Advisor/Co-Advisor

7. THE ANALYSIS OF THE PERIDYNAMIC THEORY OF SOLID MECHANICS

open_access
Open Access
Author:
Zhou, Kun
Title:
THE ANALYSIS OF THE PERIDYNAMIC THEORY OF SOLID MECHANICS
Graduate Program:
Mathematics
Keywords:
peridynamics
elasticity
mathematical analysis
numerical analysis
local limit
File:
Download KunZhou-Dissertation.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Wen Shen, Committee Member
Xiantao Li, Committee Member
Suzanne Michelle Shontz, Committee Member

8. The Generalized Finite Element Method: Numerical Treatment of Singularities, Interfaces, and Boundary Conditions

open_access
Open Access
Author:
Qu, Qingqin
Title:
The Generalized Finite Element Method: Numerical Treatment of Singularities, Interfaces, and Boundary Conditions
Graduate Program:
Mathematics
Keywords:
Interface problems
Partition of unity
Generalized finite element method
Weighted Sobolev spaces
Optimal rate of Convergence
File:
Download mythesis.pdf
Committee Members:
Anna L Mazzucato, Dissertation Advisor/Co-Advisor
Victor Nistor, Dissertation Advisor/Co-Advisor
Anna L Mazzucato, Committee Chair/Co-Chair
Victor Nistor, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Corina Stefania Drapaca, Committee Member

9. Shrinking Dimer Dynamics and its Application in Saddle Point Search

open_access
Open Access
Author:
Zhang, Jingyan
Title:
Shrinking Dimer Dynamics and its Application in Saddle Point Search
Graduate Program:
Mathematics
Keywords:
Saddle point search
transition state
Shrinking Dimer Dynamics
dimer method
nucleation
constrained Shrinking Dimer Dynamics
File:
Download mythesis.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Alexei Novikov, Committee Member
Zhibiao Zhao, Committee Member
Zikui Liu, Committee Member

10. Models of Noncooperative Games

open_access
Open Access
Author:
Wei, Deling
Title:
Models of Noncooperative Games
Graduate Program:
Mathematics
Keywords:
differential game
Nash or Stackelberg equilibrium feedback solution
optimal pricing strategy
bidding game
limit order book
File:
Download DelingWei_PHD_thesis.pdf
Committee Members:
Alberto Bressan, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Qiang Du, Committee Member
Xiantao Li, Committee Member
Anna L Mazzucato, Committee Member
Terry Lee Friesz, Committee Member