Symmetric multistep methods over long times

Article

Reference

Symmetric multistep methods over long times

HAIRER, Ernst, LUBICH, Christian

Abstract

For computations of planetary motions with special linear multistep methods an excellent long-time behaviour is reported in the literature, without a theoretical explanation. Neither the total energy nor the angular momentum exhibit secular error terms. In this paper we completely explain this behaviour by studying the modified equation of these methods and by analyzing the remarkably stable propagation of parasitic solution components.

HAIRER, Ernst, LUBICH, Christian. Symmetric multistep methods over long times. Numerische Mathematik , 2004, vol. 97, no. 4, p. 699-723

DOI : 10.1007/s00211-004-0520-2

Available at:

http://archive-ouverte.unige.ch/unige:12123

Disclaimer: layout of this document may differ from the published version.

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