Optimal prediction of stiff oscillatory mechanics

  1. Anton P. Kast
  1. Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, Berkeley, CA 94720

  1. Communicated by Alexandre J. Chorin, University of California, Berkeley, CA (received for review October 25, 1999)

Abstract

We consider many-body problems in classical mechanics where a wide range of time scales limits what can be computed. We apply the method of optimal prediction to obtain equations that are easier to solve numerically. We demonstrate by examples that optimal prediction can reduce the amount of computation needed to obtain a solution by several orders of magnitude.

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  1. PNAS June 6, 2000 vol. 97 no. 12 6253-6257
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