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Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems

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Published in IMA Journal of Numerical Analysis. 2006, vol. 26, no. 1, p. 34 - 59
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 methodsHamiltonian systemsModulated Fourier expansionEnergy conservationOscillatory solutions
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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 https://archive-ouverte.unige.ch/unige:12112

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Deposited on : 2010-10-15

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