Optimal Prediction of Stiff Oscillatory Mechanics

TL;DR

This paper introduces the use of optimal prediction methods to efficiently solve complex many-body classical mechanics problems with multiple time scales, significantly reducing computational effort.

Contribution

It presents a novel application of optimal prediction to classical mechanics, enabling faster and more efficient simulations of oscillatory systems with multiple time scales.

Findings

Optimal prediction reduces computational cost by several orders of magnitude.

The method effectively simplifies complex many-body problems.

Demonstrated success on example systems.

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 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.