Conservation properties of numerical integrators for highly oscillatory Hamiltonian systems

Artikel i vetenskaplig tidskrift, 2006

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.