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Open Access

Author:: Yuan, Jiaxin
Title:: Pricing and hedging for variable annuity
Area of Honors:: Mathematics
Keywords:: Variable Annuities
Monte Carlo Simulation
Hedging
File:: Download Yuan_Jiaxin_Pricing_and_hedging_for_Variable_Annuity.pdf
Thesis Supervisors:: Matthew Charles Willyard, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

Open Access

Author:: Sickau, Kristin
Title:: An Efficient Cyclic Projection Algorithm for Quadratic Programming Problems
Area of Honors:: Mathematics
Keywords:: Convex Optimization
Cyclic Projections
Quadratic Programming
Dykstra's Algorithm
Dykstra's Cyclic Projections Method
Variational Inequalities
Obstacle Problems
Best Approximation
File:: Download Sickau_Kristin_Thesis.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor
Wen Shen, Faculty Reader

Open Access

Author:: Suhendra, Richard
Title:: Speeds of Biological Invasion
Area of Honors:: Mathematics
Keywords:: kpz
invasion
mathematical biology
reaction diffusion
stochastic
File:: Download Speeds_of_Biological_Invasion.pdf
Thesis Supervisors:: Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

Open Access

Author:: Bevilacqua, Erin
Title:: Partition Identities Using Modular Young Diagrams and Congruences Among Fractional Partition Functions
Area of Honors:: Mathematics
Keywords:: Partitions
combinatorics
number theory
File:: Download ThesisFinal.pdf
Thesis Supervisors:: Ae Ja Yee, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

Open Access

Author:: Gupte, Atharv
Title:: Implementing a Commuting Market Access Model to the Washington, DC Metropolitan Area
Area of Honors:: Mathematics
Keywords:: economics
math
statistics
transportation
geography
schools
education
real estate
residential
commercial
File:: Download Thesis_Atharv_Gupte.pdf
Thesis Supervisors:: Ruilin Zhou, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

Open Access

Author:: Chien, Jereme
Title:: Survey of Traffic Models and Analysis of a Nonlocal Particle Model
Area of Honors:: Mathematics
Keywords:: Traffic Flow
Follow-the-Leaders
Particle Model
Traveling Waves
Stationary Wave Profiles
Existence and Uniqueness
Stability
Convergence
File:: Download Chien_Thesis.pdf
Thesis Supervisors:: Wen Shen, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

Open Access

Author:: Yang, Chen
Title:: Kolmogorov Complexity and an Application: Overlapping String Problem
Area of Honors:: Mathematics
Keywords:: Algorithmic information theory
Computability Theory
Kolmogorov complexity
File:: Download Honors_Thesis_Chen_Yang_fall2020_final_.pdf
Thesis Supervisors:: Linda Brown Westrick, Thesis Supervisor
Ludmil Tomov Zikatanov, 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:: Zhong, Qixiao
Title:: Encodable Model of Set Theory
Area of Honors:: Mathematics
Keywords:: Set Theory
Mathematical Logic
Theory of Computation
File:: Download thesis.pdf
Thesis Supervisors:: Jan S Reimann, Thesis Supervisor
Nathanial Patrick Brown, 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

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