Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation
zbMATH Open document ID: 1188.65138
DOI: 10.1155/2009/283959
author: Zongqi Liang
published in: Discrete Dynamics in Nature and Society
publication date: 2010-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/222777
review text: Summary: We analyze a class of large time-stepping Fourier spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation and provide highly stable methods which allow much larger time step than for a standard implicit-explicit approach. An extra term, which is consistent with the order of the time discretization, is added to stabilize the numerical schemes. Meanwhile, the first-order and second-order semi-implicit schemes are constructed and analyzed. Finally the numerical experiments are performed to demonstrate the effectiveness of the large time-stepping approaches.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5701460
zbMATH Keywords: stability
zbMATH Keywords: large time-stepping Fourier spectral methods
zbMATH Keywords: semiclassical limit
zbMATH Keywords: defocusing nonlinear Schrödinger equation
zbMATH Keywords: numerical experiments
Wikidata QID: Q58647434
MaRDI profile type: Publication
OpenAlex ID: W2079056111
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description: scientific article; zbMATH DE number 5701460