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Triginometric time integrators for the Zakharov system

Herr, Sebastian; Schratz, Katharina

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
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000060068
ISSN: 2365-662X
URN: urn:nbn:de:swb:90-600680
KITopen ID: 1000060068
Verlag KIT, Karlsruhe
Umfang 22 S.
Serie CRC 1173 ; 2016/23
Schlagworte Zakharov system, numerical scheme, convergence
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