Richard Lehoucq

Discrete Math & Optimization

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Discrete Math & Optimization

(505) 845-8929

Sandia National Laboratories, New Mexico
P.O. Box 5800
Albuquerque, NM 87185-1320

My research interests are:

  • Uncertainty quantification for Monte-Carlo sampling of particle models to solve inverse problems, and more generally, design-based optimization problems.
  • Markov chains and statistical analysis on directed graphs; and
  • Analysis of the peridynamic 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
  • 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.


  • 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.

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