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Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems

Cohen, David

In: IMA Journal of Numerical Analysis, 2006, vol. 26, no. 1, p. 34-59

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    Titre
    • Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems
    Auteur
    • Cohen, David. Département de Mathématiques, Université de Genève, CH-1211 Genève 4, Switzerland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • IMA Journal of Numerical Analysis, 2006, vol. 26, no. 1, p. 34-59. Oxford University Press
    Autre version électronique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:289900
    Summary
    Modulated Fourier expansion is used to show long-time near-conservation of the total and oscillatory energies of numerical methods for Hamiltonian systems with highly oscillatory solutions. The numerical methods considered are an extension of the trigonometric methods. A brief discussion of conservation properties in the continuous problem and in the multi-frequency case is also given