Optimal error estimates for Fourier spectral approximation of the generalized KdV equation (Q1016158)

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scientific article; zbMATH DE number 5550571
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Optimal error estimates for Fourier spectral approximation of the generalized KdV equation
scientific article; zbMATH DE number 5550571

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    Optimal error estimates for Fourier spectral approximation of the generalized KdV equation (English)
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    4 May 2009
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    A Fourier spectral method for the generalized Korteweg-de Vries equation with periodic boundary conditions is analyzed, and a corresponding optimal error estimate is obtained. A modified Fourier pseudospectral method is also presented, with the same convergence properties as the Fourier spectral method.
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    Fourier spectral method
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    modified Fourier pseudospectral method
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    generalized Korteweg-de Vries equation
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    error estimate
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    convergence
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