eHT Explore

Open Access

Author:: Zhan, Hongyuan
Title:: Numerical Methods for Hamiltonian Systems: Theory, Numerics and Case Studies
Area of Honors:: Mathematics
Keywords:: numerical methods
Hamiltonian system
File:: Download thesis_hzz5039.pdf
Thesis Supervisors:: Xiantao Li, Thesis Supervisor
Dr. Victoria V Sadovskaya, Thesis Honors Advisor

Open Access

Author:: Wu, Jiawei
Title:: Comparisons between the Monte Carlo method and Finite Difference method for option price and interest rate models
Area of Honors:: Mathematics
Keywords:: Numerical Analysis
Financial Mathematics
Partial Differential Equations
File:: Download Wu_Jiawei_Comparisons_between_the_Monte_Carlo_method_and_Finite_Difference_method_for_option_price_and_interest_rate_models.pdf
Thesis Supervisors:: Anna L Mazzucato, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor

Open Access

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

Open Access

Author:: Jin, Xin
Title:: Solution of Problems in Quadratic Programming Using Dykstra's Algorithm
Area of Honors:: Mathematics
Keywords:: quadratic programming
best approximation
dykstra algorithm
ellipsoid method
File:: Download latex_thesis_template-combined.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor
Xiantao Li, Faculty Reader

Restricted (Penn State Only)

Author:: Li, Zhiyuan
Title:: Optimal Control of Alzheimer's Disease
Area of Honors:: Mathematics
Keywords:: optimal control
Alzheimer's Disease
reaction-diffusion equation
File:: Login to Download
Thesis Supervisors:: Wenrui Hao, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor

Open Access

Author:: Cohen, Ryan
Title:: A mean-field theory for quantum neural networks
Area of Honors:: Mathematics
Keywords:: Quantum computing
Neural networks
File:: Download Cohen_Ryan_Thesis.pdf
Thesis Supervisors:: Xiantao Li, Thesis Supervisor
Carina Pamela Curto, Thesis Honors Advisor

Search