Error analysis for spectral approximation of the Korteweg-de Vries equation

@inproceedings{NUMRIQUE2017ErrorAF,
  title={Error analysis for spectral approximation of the Korteweg-de Vries equation},
  author={ANALYSE NUM{\'E}RIQUE and Yvon Maday and Alfio Quarteroni and Se A. QUARTERONI},
  year={2017}
}
  • ANALYSE NUMÉRIQUE, Yvon Maday, +1 author Se A. QUARTERONI
  • Published 2017
— The conservation and convergence properties o f spectral Fourier methods for the numerical approximation o f the Korteweg-de Vries équation are analyzed. It is proven thaï the (aliased) collocation pseudospectral method enjoys the same convergence properties as the spectral Galerkin method, which is less effective from the computational point ofview. This resuit provides a précise mathematical answer to a question raised by several authors in the latest years. Résumé. — Dans cet article on… CONTINUE READING
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