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My research interests include the numerical solution of large-scale eigenvalue problems
and differential equations. I am a co-author of
ARPACK and
Anasazi,
open source software for computing eigenvalues of large-scale
matrices. I have collaborated with scientists to use ARPACK in applications
in Quantum physics, CFD, structural dynamics and radiation transport. I'm also interested in
understanding the link between discrete and continuum models of physical phenomena and
the matrices generated. I'd like to exploit such knowledge to develop effective solvers.
My current research focuses on multiscale methods to enable fidelity and efficiency.
In particular, I am conducting research in AtC (Atomistic-to-Continuum)
coupling analysis. My interest is in understanding the link between particle and
continuum representations of physical phenomena.
I am an associate editor at
ETNA (Electronic transactions on numerical analysis) and
SINUM (SIAM Journal on Numerical Analysis),
and a member of the editorial board of the
International Journal of Computational Science and Engineering.
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