Triginometric time integrators for the Zakharov system
Abstract:
The main challenge in the analysis of numerical schemes for the Zakharov system originates from the presence of derivatives in the nonlinearity. In this paper a new trigonometric time-integration scheme for the Zakharov system is constructed and convergence is proved. The time-step restriction is independent from a spatial discretization. Numerical experiments confirm the findings.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2016 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-600680 KITopen-ID: 1000060068 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 22 S. |
| Serie | CRC 1173 ; 2016/23 |
| Schlagwörter | Zakharov system, numerical scheme, convergence |