Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions
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| 024 | 7 | 0 | |a 10.1007/s10543-014-0527-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0527-8 | ||
| 245 | 0 | 0 | |a Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions |h [Elektronische Daten] |c [David Cohen, Ludwig Gauckler, Ernst Hairer, Christian Lubich] |
| 520 | 3 | |a For trigonometric and modified trigonometric integrators applied to oscillatory Hamiltonian differential equations with one or several constant high frequencies, near-conservation of the total and oscillatory energies are shown over time scales that cover arbitrary negative powers of the step size. This requires non-resonance conditions between the step size and the frequencies, but in contrast to previous results the results do not require any non-resonance conditions among the frequencies. The proof uses modulated Fourier expansions with appropriately modified frequencies. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Oscillatory Hamiltonian systems |2 nationallicence | |
| 690 | 7 | |a Modulated Fourier expansions |2 nationallicence | |
| 690 | 7 | |a Trigonometric integrators |2 nationallicence | |
| 690 | 7 | |a Störmer-Verlet scheme |2 nationallicence | |
| 690 | 7 | |a IMEX scheme |2 nationallicence | |
| 690 | 7 | |a Long-time energy conservation |2 nationallicence | |
| 690 | 7 | |a Numerical resonances |2 nationallicence | |
| 690 | 7 | |a Non-resonance condition |2 nationallicence | |
| 700 | 1 | |a Cohen |D David |u Matematik och matematisk statistik, Umeå universitet, 90187, Umeå, Sweden |4 aut | |
| 700 | 1 | |a Gauckler |D Ludwig |u Institut für Mathematik, TU Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany |4 aut | |
| 700 | 1 | |a Hairer |D Ernst |u Section de mathématiques, Université de Genève, 2-4 rue du Lièvre, 1211, Geneva 4, Switzerland |4 aut | |
| 700 | 1 | |a Lubich |D Christian |u Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle, 72076, Tübingen, Germany |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 705-732 |x 0006-3835 |q 55:3<705 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0527-8 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0527-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Cohen |D David |u Matematik och matematisk statistik, Umeå universitet, 90187, Umeå, Sweden |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gauckler |D Ludwig |u Institut für Mathematik, TU Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hairer |D Ernst |u Section de mathématiques, Université de Genève, 2-4 rue du Lièvre, 1211, Geneva 4, Switzerland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lubich |D Christian |u Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle, 72076, Tübingen, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 705-732 |x 0006-3835 |q 55:3<705 |1 2015 |2 55 |o 10543 | ||