
My research interests are:
 the analysis of the peridynanmic nonlocal continuum theory, including mechanical and mathematical analyses. This includes a probabilistic interpretation for the nonlocal diffusion equation, a special case of the peridynamic energy equation; and
 Markov chains and statistical analysis on directed graphs; and
 the numerical solution of largescale eigenvalue problems and differential equations. I am a coauthor of ARPACK and Anasazi, open source software for computing eigenvalues of largescale matrices. I have collaborated with scientists to use ARPACK in applications in Quantum physics, CFD, spectral graph theory, structural dynamics and radiation transport.
Education/Background:
 Ph.D. in Computational Science and Engineering, RIce University, 1995.
 M.S. in Mathematics, Virginia Polytechnic Institute and State University, 1986.
 B.A. in Mathematics, California University of Pennsylvania, 1984.
