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Author:

Liang, Fei

Title:

A new training method for neural network in solving PDEs

Area of Honors:

Mathematics

Keywords:

Neural Network
PDE
Deep-Ritz
training method
efficiency

File:

Download A_New_Training_Method_for_Deep_Neural_Network_in_Solving_PDEs.pdf

Thesis Supervisors:

Xiantao Li, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor
Wenrui Hao, Faculty Reader

Author:

Bromberg, David Marvin

Title:

A Mathematical Approach to Splitting Two Fried Eggs

Area of Honors:

Mathematics

Keywords:

Computational Methods
Numerical Analysis
Python
Mathematics
Computer Science
Optimization
Optimal Cut
Geometry

File:

Download Bromberg-David_A_Mathematical_Approach_To_Splitting_Two_Fried_Eggs.pdf

Thesis Supervisors:

Wenrui Hao, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

Author:

Li, Zhiyuan

Title:

Optimal Control of Alzheimer's Disease

Area of Honors:

Mathematics

Keywords:

optimal control
Alzheimer's Disease
reaction-diffusion equation

File:

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Thesis Supervisors:

Wenrui Hao, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor