Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations
type: Item
instance of: scholarly article
title: Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations
zbMATH Open document ID: 1436.65197
published in: Applied Numerical Mathematics
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7188151
zbMATH Keywords: nonlinear multi-frequency highly oscillatory system
zbMATH Keywords: semi-linear wave equation
zbMATH Keywords: energy techniques
zbMATH Keywords: ERKN integrator
zbMATH Keywords: Fourier spectral methods
zbMATH Keywords: nonlinear stability
zbMATH Keywords: global error analysis
author: Changying Liu
author: Xinyuan Wu
MaRDI profile type: Publication
full work available at URL: j.apnum.2020.02.020
OpenAlex ID: W3012067494
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DOI: 10.1016/J.APNUM.2020.02.020

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