Field Simulation and Learning

The focus of this paper is on modelling 2D fields across time. The Gaussian Markov Random Field (GMRF) approach is sometimes used to model stationary (not time dependent) 2D fields. The GMRF approach is extended with analytic partial differential equation techniques to accommodate time dependent fields.

The Shallow Water Equations

This report was written for the Applied Boundary Value Problems course at University of Rochester. It was written with Nicholas Baronowsky and Sebastian Jakymiw. The report explores the Shallow Water Equations.

Snowboarding the Halfpipe with Classical Mechanics

This paper combines a spring mechanical model for motion of a snowboarder in the halfpipe with a rotating projectile motion model for the snowboarder in the air. This model is used to explore techniques that the snowboarder can use to maximize his score in competitions.