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.
@article{arxiv.1508.02900,
title = {Trigonometric time integrators for the Zakharov system},
author = {Sebastian Herr and Katharina Schratz},
journal= {arXiv preprint arXiv:1508.02900},
year = {2017}
}