Welcome to my (Outdated) Research page
This page is largely out of date. Follow the links below for information on some of my various projects past and present. Of go to my new FRG page
Spectral Deferred Corrections
- My former post-doc Anita Layton and I developed new time integration strategies for problems with multiple stiff terms, so called multi-implicit spectral deferred correction methods
- I work with my colleague Jingfang Huang and his PhD. student Jun Jia on accelerating spectral deferred correction methods for ODEs and DAEs.
Projection Methods for incompressible flow
- Most recently I have developed higher-order projection methods for viscous flows based on a semi-implicit spectral deferred corrections strategy.
- I also studied the correct formulation of conditions Boundary Conditions for Semi-Implict Methods
- One of my first projects was the study of spurious vortices
- I have had a long term interest in Singularities in Boussinesq Convection
Immersed boundaries in incompressible flows
- I developed the Blob Projection Method for modelling immersed boundaries in incompressible flows with Ricardo Cortez.
- My current PhD. student Liz Bouzarth is working on methods that utilize regularized Stokeslets