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Author:

Chen, Long

Title:

Robust and Accurate Algorithms for Solving Anisotropic Singularities

Graduate Program:

Mathematics

Keywords:

mesh adaptation
anisotropic error estimate
convection dominated problem
singularly perturbed problem
optimal Delaunay triangulation
nonlinear approximation

File:

Download MyThesis.pdf

Committee Members:

Jinchao Xu, Committee Chair/Co-Chair
Qiang Du, Committee Member
Chun Liu, Committee Member
James Z Wang, Committee Member
Ludmil Tomov Zikatanov, Committee Member

Author:

Chen, Yao

Title:

Algebraic Multilevel Methods for Graph Laplacians

Graduate Program:

Mathematics

Keywords:

Algebraic Multigrid Methods
Graph Laplacians
Parallel Algorithms

File:

Download main.pdf

Committee Members:

James Joseph Brannick, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Dissertation Advisor/Co-Advisor
Jinchao Xu, Committee Member
Jesse Louis Barlow, Special Member

Author:

Chen, Jianhong

Title:

Reducing Model Complexity and Overcoming Overfitting: Deep Learning Algorithms and Medical Applications

Graduate Program:

Mathematics

Keywords:

Deep learning
Compressed sensing
Medical application

File:

Download JianhongChen-Dissertation.pdf

Committee Members:

Jinchao Xu, Dissertation Advisor/Co-Advisor
Wenrui Hao, Committee Member
Xiantao Li, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiang Zhang, Outside Member
Alexei Novikov, Program Head/Chair
Jinchao Xu, Committee Chair/Co-Chair