A conservative spectral method for several two-dimensional nonlinear wave equations
type: Item
instance of: scholarly article
title: A conservative spectral method for several two-dimensional nonlinear wave equations
zbMATH Open document ID: 0937.65108
author: Taketomo Mitsui
author: Bao-Feng Feng
author: Takuji Kawahara
published in: Journal of Computational Physics
publication date: 2000-05-17T00:00:00Z
review text: The authors employ the standard spectral methods (fast Fourier transform) for the spatial discretization of the equations while for the time integration they use a three-level difference scheme with a free parameter \(\theta\) for the linear terms and leapfrog scheme for the nonlinear terms. Therefore solving the nonlinear algebraic equations is avoided. Excellent results of numerical experiments for the KP and the ZK equations are showed.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1384959
zbMATH Keywords: spectral method
zbMATH Keywords: KP equation
zbMATH Keywords: ZK equation
zbMATH Keywords: stability
zbMATH Keywords: numerical experiments
zbMATH Keywords: fast Fourier transform
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: jcph.1999.6286
OpenAlex ID: W2097161346
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DOI: 10.1006/JCPH.1999.6286
description: scientific article; zbMATH DE number 1384959