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Author:

Slocum, Samuel Thomas

Title:

A Model of Bank Behavior under Market, Credit, and Liquidity Risk

Area of Honors:

Mathematics

Keywords:

Economics
Banking
Numerical Analysis

File:

Download samuelslocum_thesis_vita.pdf

Thesis Supervisors:

Jenny Xiaoe Li, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

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

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:

Murarik, Nathan

Title:

Accurate Arithmetic Methods with Matrix Applications in Real Floating-Point Arithmetic

Area of Honors:

Mathematics

Keywords:

Accurate Arithmetic
K-Fold Accuracy
Error Analysis
Perturbation Theory
Numerical Analysis

File:

Download Accurate_Arithmetic_Thesis.pdf

Thesis Supervisors:

Thomas Robert Cameron, Thesis Supervisor
Daniel Joseph Galiffa, Thesis Honors Advisor
Derek William Hanely, Faculty Reader