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Title: Plane waves numerical stability of some explicit exponential methods for cubic Schrödinger equation
Authors: Cano, Begoña
González-Pachón, Adolfo
Issue Date: 2016
Publisher: Global Science Press
Citation: Journal of Computational Mathematics, 2016,Vol.34, No.4,385–406
Abstract: Numerical stability when integrating plane waves of cubic Schr\"odinger 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 $2$nd-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.
Peer Review: SI
DOI: 10.4208/jcm.1601-m4541
Sponsor: Este trabajo forma parte del proyecto de investigación: MTM 2015-66837-P
Publisher Version:
Rights Owner: Institute of Computational Mathematics and Scientific/Engineering Computing of Chinese Academy of Sciences
Language: eng
Rights: info:eu-repo/semantics/restrictedAccess
Appears in Collections:DEP51 - Artículos de revista

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