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Symmetric multistep methods over long times

Hairer, Ernst ; Lubich, Christian

In: Numerische Mathematik, 2004, vol. 97, no. 4, p. 699-723

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    Titre
    • Symmetric multistep methods over long times
    Auteur
    • Hairer, Ernst. Dept. de Mathématiques, Univ. de Genève, 1211, Genève 24, Switzerland
    • Lubich, Christian. Mathematisches Institut, Univ. Tübingen, 72076, Tübingen, Germany
    Type de document
    • Postprint
    Classification
    • Informatique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:311085
    Summary
    Summary.: 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