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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

Space-Discretized Verlet-Algorithm from a Variational Principle

  • Walter Nadler , Hans H. Diebner and Otto E. Rössler

Abstract

A form of the Verlet-algorithm for the integration of Newton’s equations of motion is derived from Hamilton's principle in discretized space and time. It allows the computation of exactly time-reversible trajectories on a digital computer, offers the possibility of systematically investigating the effects of space discretization, and provides a criterion as to when a trajectory ceases to be physical.

Received: 1997-6-10
Published Online: 2014-6-2
Published in Print: 1997-9-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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