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Author:

Han, Ke

Title:

An Analytical Approach to Sustainable Transportation Network Design

Graduate Program:

Mathematics

Keywords:

Transportation Engineering
Dynamic User Equilibrium
Transportation Network Design
Sustainability

File:

Download Ke_Han-Dissertation.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Terry Lee Friesz, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Member
Chun Liu, Committee Member
Lyle Norman Long, Committee Member
Tao Yao, Committee Member

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

Author:

Liang, Chao

Title:

Approximate solution to second order parabolic equations, with application to financial modeling

Graduate Program:

Mathematics

Keywords:

Partial Differential Equations
Financial Modeling
Option Pricing
Approximate Solutions
Symbolic Computation

File:

Download ChaoLiang-Dissertation.pdf

Committee Members:

Victor Nistor, Dissertation Advisor/Co-Advisor
Xiantao Li, Dissertation Advisor/Co-Advisor
Anna L Mazzucato, Committee Member
John C Liechty, Committee Member
Qiang Du, Committee Member
Yuxi Zheng, Special Member

Author:

Huang, Zhan

Title:

Nonlocal Models with Convection Effects

Graduate Program:

Mathematics

Keywords:

nonlocal
volume constrain
convection diffusion
conservation law
entropy solution
shock formation
numerical
convergence

File:

Download ZhanHuang-Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Xiantao Li, Committee Member
Chun Liu, Committee Member
John Fricks, Committee Member

Author:

Yuan, Liming

Title:

Study of Nonlinear Peridynamics and Nonlocal Kernel Functions

Graduate Program:

Mathematics

Keywords:

Peridynamics
phase transformation
molecular
nonlocal kernels

File:

Download Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Xiantao Li, Committee Member
Chun Liu, Committee Member
Tao Yao, Outside Member
Yuxi Zheng, Committee Member