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Author:

Wang, Jiakou

Title:

STOCHASTIC AND DETERMINISTIC COAGULATION MODELS, THEIR NUMERICAL APPROXIMATIONS AND APPLICATIONS TO CELL AGGREGATION

Graduate Program:

Mathematics

Keywords:

cell aggregation
coagulation equation
stochastic model
time relaxed method

File:

Download Wang-Dissertation.pdf

Committee Members:

Qiang Du, Committee Chair/Co-Chair
Cheng Dong, Committee Member
Chun Liu, Committee Member
Suzanne Michelle Shontz, Committee Member
Ludmil Tomov Zikatanov, Committee Member

Author:

Wang, Xiaoqiang

Title:

PHASE FIELD MODELS AND SIMULATIONS OF VESICLE BIO-MEMBRANES

Graduate Program:

Mathematics

Keywords:

Vesicle membrane
elastic bending energy
energetic variational approach
diffusive interface approximation
phase field model
numerical methods
three dimensional simulation
Navier-Stokes equation

File:

Download bubble.pdf

Committee Members:

Qiang Du, Committee Chair/Co-Chair
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Hongyuan Zha, Committee Member

Author:

Wang, Lu

Title:

the auxiliary space solvers and their applications

Graduate Program:

Mathematics

Keywords:

multigrid
auxiliary space
solver

File:

Download Lu-Dissertation.pdf

Committee Members:

Jinchao Xu, Dissertation Advisor/Co-Advisor
James Joseph Brannick, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Chao Yang Wang, Special Member