There are several methods for analyzing the statistics of a random ordinary differential equation. In this paper, we compare two spectral methods’ ability to capture the statistics for a solution to the classic 1963 Lorenz system with random initial conditions.
The document Finite Element Solvers: A MATLAB and FEniCS Review provides a brief introduction and tutorial on solving 2 and 3 dimensional Poisson and Heat Equation problems using software packages for MATLAB and FEniCS (Python).
As an undergraduate, I assisted in research with Professor of Mathematics Ken Golden and Professor of Atmospheric Science Courtney Strong. As a part of his research group, we studied sea ice floes in a multi-scale framework. There, I focused on analyzing the Marginal Ice Zone from a macroscopic viewpoint.
Some of my other miscellaneous projects includes a review of rogue wave research and my own algorithm for computing nth roots. You can find them here:
I’ve written several research papers in the political science. These topics range from environmental policy to international political theory (files to be added).