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Author:

Li, Hengguang

Title:

ELLIPTIC EQUATIONS WITH SINGULARITIES: A PRIORI ANALYSIS AND NUMERICAL APPROACHES

Graduate Program:

Mathematics

Keywords:

the finite element method
weighted sobolev spaces
singularities
elliptic equations
a priori analysis
the multigrid method

File:

Download HengguangLiDissertation.pdf

Committee Members:

Victor Nistor, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Jinchao Xu, Committee Member
Anna L Mazzucato, Committee Member
Corina Stefania Drapaca, Committee Member

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

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