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RESEARCH AREAS
The focus of my research is to develop mathematical modeling and scientific computing techniques to study problems arising in the areas of fluid mechanics and materials science. I am particularly interested in applications where hydrodynamics are coupled to phase transformation processes. These problems can often be formulated in terms of ordinary or partial differential equations and typically involve free boundaries. The methods I use to study these problems include asymptotic and perturbation methods, bifurcation and stability techniques, and numerical techniques.
TEACHING
Fall 2009: Math 111 - Linear Mathematical Modeling
Fall 2009: Math 413 - Modern Applied Mathematics
STUDENTS
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PhD Students:
- Javed Siddique [PhD 2009, now faculty at Penn State, York]
Master's Degree Students:
- TJ Flynn, GMU, Master's Degree 2009
- Daniel Bowers, GMU, Master's Degree 2009
- Mary Ann Graham, GMU, Master's Degree 2007
- Lihong Han, GMU, Master's Degree 2006
Undergraduate Students:
- Avis Foster, CSUMS student, GMU, Summer 2009 -- present.
- Minerva Venuti, GMU, Fall 2009 -- present.
- Andrei Bondarev, GMU, Summer 2008 -- present.
- Michael Atkins, CSUMS student, GMU, 2008-2009
- Courtney Chancellor (Southern Methodist Univeristy), REU student, GMU, Summer 2009
- Kumnit Nong, CSUMS student, GMU, 2007-2008
- Katlyn Winter, CSUMS student, GMU, 2007-2008
- Jonathan Bode, GMU, 2004-2006