Rich Lehoucq's home page (updated 04/30/2020) SAND Number: SAND2020-4401 W

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 Mathematics, Virginia Polytechnic Institute and State University, 1986.
  • B.A. in Mathematics, California University of Pennsylvania, 1984.

Further information

  • Papers and reports
  • Trilinos software
  • LOCA: a library of continuation algorithms

    • Addresses

    Sandia National Laboratories
    Computational Mathematics
    MS 1320, P.O. Box 5800
    Albuquerque, NM 87185-1320

    For FED EX, UPS etc.

    Sandia National Laboratories
    1515 Eubank SE
    Albuquerque, NM 87123-1320

    Office phone (505) 845-8929, FAX: (505) 845-7442

    rblehou at sandia.gov

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