Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions

Author:

Cohen David,Gauckler Ludwig,Hairer Ernst,Lubich Christian

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference12 articles.

1. Bambusi, D., Giorgilli, A., Paleari, S., Penati, T.: Normal form and energy conservation of high frequency subsystems without nonresonance conditions, To appear in Rendiconti dell’Istituto Lombardo Accademia di Scienze e Lettere, Classe di Scienze Matematiche e Naturali. Preprint (2014). arXiv:1402.0076

2. Cohen, D., Hairer, E., Lubich, C.: Numerical energy conservation for multi-frequency oscillatory differential equations. BIT 45, 287–305 (2005)

3. Deuflhard, P.: A study of extrapolation methods based on multistep schemes without parasitic solutions. Z. Angew. Math. Phys. 30, 177–189 (1979)

4. Gauckler, L., Hairer, E., Lubich, C.: Energy separation in oscillatory Hamiltonian systems without any non-resonance condition. Comm. Math. Phys. 321, 803–815 (2013)

5. Hairer, E., Lubich, C.: Energy conservation by Störmer-type numerical integrators. In: Griffiths, D.F., Watson, G.A. (eds.) Numerical Analysis, 1999 pp. 169–190. CRC Press LLC, Boca Raton (2000)

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