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Scientific article
English

Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems

ContributorsCohen, David
Published inIMA journal of numerical analysis, vol. 26, no. 1, p. 34-59
Publication date2006
Abstract

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.

Keywords
  • Trigonometric methods
  • Hamiltonian systems
  • Modulated Fourier expansion
  • Energy conservation
  • Oscillatory solutions
Citation (ISO format)
COHEN, David. Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems. In: IMA journal of numerical analysis, 2006, vol. 26, n° 1, p. 34–59. doi: 10.1093/imanum/dri020
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Article (Published version)
accessLevelRestricted
Identifiers
ISSN of the journal0272-4979
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