Derivative instability of some schemes for the Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Derivative instability of some schemes for the Korteweg-de Vries equation
zbMATH Open document ID: 0921.65067
DOI: 10.1016/S1007-5704(98)90075-2
author: Jixiong Yu
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 1999-09-16T00:00:00Z
review text: Numerical examples are used to demonstrate that numerical instability with respect to the derivative of the solution of the Korteweg-de Vries equation may occur when using difference methods, even though the energy or both the energy and the momentum are preserved numerically.
reviewed by: Yunkang Liu
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 1286599
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: implicit difference scheme
zbMATH Keywords: numerical instability
zbMATH Keywords: conserved quantity
zbMATH Keywords: KdV equation
MaRDI profile type: Publication
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cites work: Focusing: A mechanism for instability of nonlinear finite difference equations
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cites work: On modulational instabilities in discretisations of the Korteweg-de Vries equation
cites work: Parametric excitation of computational modes inherent to leap-frog scheme applied to the Korteweg-de Vries equation
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cites work: Q3858691
cites work: Numerical solution of K.D.V. equation
full work available at URL: s1007-5704(98)90075-2
OpenAlex ID: W2081580058
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description: scientific article; zbMATH DE number 1286599