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1. TIME-SPLITTING SINE SPECTRAL METHODS FOR SIMULATING FEMTOSECOND LASER PROPAGATION

open_access
Open Access
Author:
Stein, Matthew James
Title:
TIME-SPLITTING SINE SPECTRAL METHODS FOR SIMULATING FEMTOSECOND LASER PROPAGATION
Area of Honors:
Interdisciplinary in Chinese and Mathematics
Keywords:
femtosecond laser
partial differential equations
numerical approximation
spectral methods
nonlinear optics
File:
Download shcthesis_Final_withTitleNewCV_3BelShuangLi.pdf
Thesis Supervisors:
Xiantao Li, Thesis Supervisor
Xiantao Li, Thesis Supervisor
Andrew Leonard Belmonte, Thesis Honors Advisor
Shuang Shen, Thesis Honors Advisor

2. Approximating Parabolic Partial Differential Equations with Applications to Financial Option Pricing

open_access
Open Access
Author:
Singh, Simranjeet
Title:
Approximating Parabolic Partial Differential Equations with Applications to Financial Option Pricing
Area of Honors:
Interdisciplinary in Finance and Mathematics
Keywords:
Green's function
partial differential equations
option pricing
commutator
File:
Download Singh_Thesis.pdf
Thesis Supervisors:
Anna L Mazzucato, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor
Dr. Brian Spangler Davis, Thesis Supervisor