Optimal Prediction of Stiff Oscillatory Mechanics

Details Optimal Prediction of Stiff Oscillatory Mechanics Optimal Prediction of Stiff Oscillatory Mechanics

2000-01-18

arxiv.org/abs/math/0001100v1

Mathematics

Numerical Analysis

23 pages, includes 2 figures

Scientific paper

10.1073/pnas.97.12.6253

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 which 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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