1. Approximating Parabolic Partial Differential Equations with Applications to Financial Option Pricing 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 functionpartial differential equationsoption pricingcommutator File: Download Singh_Thesis.pdf Thesis Supervisors: Anna L Mazzucato, Thesis SupervisorLeonid N Vaserstein, Thesis Honors AdvisorDr. Brian Spangler Davis, Thesis Supervisor