Tetrahedral intersections
This is the follow-up to my paper "A provably robust algorithm for 2D triangle-triangle intersections in floating-point arithmetic" (see Publications). It discusses in detail the 3D version of the algorithm found there as well as how to extend the algorithm to arbitrary dimensions.
IOMcc
The continuation of my masters thesis. This looks at extending the results of my paper "Preconditioning of spectral methods via Birkhoff interpolation" to general linear operators, with a focus on constant coefficient linear operators.
RASPEN period doubling
Accelerating Schwarz methods with Newton-Raphson has been thought to be stable, safe and fast. This research examines some counterexamples where chaos can occur.
Stochastic network model of an epidemic
As part of an ongoing COVID project, this research looks to use stochastic networks to model the spread of a virus through a population. Many difficulties arise, including computational time and the unidirectional flow of infections.