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 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, spectral graph theory, structural dynamics and radiation transport.

Education/Background:

• Ph.D. in Computational Science and Engineering, RIce University, 1995.
• M.S. in Mathmatics, Virginia Polytechnic Institute and State University, 1986.
• B.A. in Mathmatics, California University of Pennsylvania, 1984.