Collocation in space and time: Experience with the Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Collocation in space and time: Experience with the Korteweg-de Vries equation
zbMATH Open document ID: 0885.65108
DOI: 10.1016/S0168-9274(97)00098-6
author: Helmut Roth
author: H. Brunner
published in: Applied Numerical Mathematics
publication date: 1998-01-06T00:00:00Z
review text: Based on the soliton solutions of the Korteweg-de Vries equation as a model problem the authors present numerical experiments with a collocation method in space and time. These methods lead to very efficient, fast and accurate algorithms if collocation takes place at the Gauss points. However, collocating at the Radau II points leads to significant phase and amplitude error due to the loss of conservativity. Besides implementation details comparisons with classical discretization methods are given.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 1100601
zbMATH Keywords: soliton
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: collocation method
describes a project that uses: PDECOL
describes a project that uses: LINPACK
MaRDI profile type: Publication
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full work available at URL: s0168-9274(97)00098-6
OpenAlex ID: W2053081171
description: scientific article; zbMATH DE number 1100601