MATHS

Mathematical Research

1. A Study on Concurrent Lines in a Triangle-Circle Geometric Model

In Summer 2016, I conducted a research on the infinite series of concurrent lines within a triangle-circle intersection model. The paper "A Study on Concurrent Lines in a Triangle-Circle Geometric Model" eventually won The Third Prize in the Overall South Region in the S.-T. YAU High School Mathematics Awards. Notably, I was the only prize winner in my city.

The Certificate of the award

A Study on Concurrent Lines in a Triangle-Circle Geometric Model
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Pages from the Research Paper

2. Hyperbolic PDE Finite Differences Method Project

In Fall 2018, I conducted a research on the finite differences method to solve two specific hyperbolic Partial Differential Equation problems with three team members. We used MATLAB to experiment the correlation between parameters of the finite difference method and the absolute error of the numerical solutions. The research was the final project of USC's Numerical Methods course, and it was published on the course website.