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A Brief Survey of Issues Relating to the Reliability of Simulation of the Large Gravitational N-body Problem

Overview The present paper is a brief tour of some of the literature concerning the topic of the title. The survey is by no means complete. We will look at some simulations done by astronomers, and the kinds of measurements taken. We will then connect N-body simulation to the study of chaos, because the N-body problem has sensitive dependence on initial conditions, and to the study of shadowing, which is one of many kinds of global error analysis techniques for ODE integration. Finally, we will briefly mention the connection between shadowing and Boundary Value Problems for ODEs.

Further White Paper Details
Publisher	University of Toronto	File Format	HTML
Date Published	August 2003	Downloads	75
Format	White Papers
Topics	Astronomy

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