Optimal Prediction of Stiff Oscillatory Mechanics

Fuente: arXiv
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Auteur principal: Kast, Anton
Format: Preprint
Publié: 2000
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author Kast, Anton
author_facet Kast, Anton
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_math_0001100
institution arXiv
publishDate 2000
record_format arxiv
spellingShingle Optimal Prediction of Stiff Oscillatory Mechanics
Kast, Anton
Numerical Analysis
65L05; 65C99; 34A99
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.
title Optimal Prediction of Stiff Oscillatory Mechanics
topic Numerical Analysis
65L05; 65C99; 34A99
url https://arxiv.org/abs/math/0001100