@Article{JCM-34-385,
author = {Cano , Begoña and González-Pachón , Adolfo},
title = {Plane Waves Numerical Stability of Some Explicit Exponential Methods for Cubic Schrödinger Equation},
journal = {Journal of Computational Mathematics},
year = {2016},
volume = {34},
number = {4},
pages = {385--406},
abstract = {<p style="text-align: justify;">Numerical stability when integrating plane waves of cubic Schrödinger equation is thoroughly analysed for some explicit exponential methods. We center on the following second-order methods: Strang splitting and Lawson method based on a one-parameter family of 2-stage 2nd-order explicit Runge-Kutta methods. Regions of stability are plotted and numerical results are shown which corroborate the theoretical results. Besides, a technique is suggested to avoid the possible numerical instabilities which do not correspond to continuous ones.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1601-m4541},
url = {http://global-sci.org/intro/article_detail/jcm/9802.html}
}