Truncation versus mapping in the spectral approximation to the Korteweg- de Vries equation

DOI10.1016/0045-7825(90)90049-RzbMath0733.65080OpenAlexW1975478888MaRDI QIDQ809579

Donatella Pavoni, Nicoletta Bressan

Publication date: 1990

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(90)90049-r

zbMATH Keywords

finite difference schemessoliton-like solutionsmultidomain methoddomain truncation methodKorteweg-de Vries initial value problemSpectral Chebyshev collocation methods

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

Related Items (1)

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Cites Work

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• Single and multidomain Chebyshev collocation methods for the Korteweg-de Vries equation
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Error analysis for spectral approximation of the Korteweg-de Vries equation
• An Iterative Procedure with Interface Relaxation for Domain Decomposition Methods

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