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Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems
Section de Mathématiques, Université de Genève.ORCID iD: 0000-0001-6490-1957
2006 (English)In: IMA Journal of Numerical Analysis, ISSN 0272-4979, E-ISSN 1464-3642, Vol. 26, no 1, 34-59 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2006. Vol. 26, no 1, 34-59 p.
Keyword [en]
trigonometric methods, Hamiltonian systems, modulated Fourier expansion, energy conservation, oscillatory solutions
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-59174DOI: 10.1093/imanum/dri020ISI: 000234436600004OAI: oai:DiVA.org:umu-59174DiVA: diva2:551377
Available from: 2012-09-11 Created: 2012-09-11 Last updated: 2017-12-07Bibliographically approved

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