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A note on the accuracy of spectral method applied to nonlinear conservation laws - MaRDI portal

A note on the accuracy of spectral method applied to nonlinear conservation laws (Q1908512)

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scientific article; zbMATH DE number 849014
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A note on the accuracy of spectral method applied to nonlinear conservation laws
scientific article; zbMATH DE number 849014

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    A note on the accuracy of spectral method applied to nonlinear conservation laws (English)
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    28 February 1996
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    The accuracy of the Fourier spectral method applied to nonlinear conservation laws is assessed through a numerical case study. The authors find out that the moments against analytic functions are not very accurate. However, the numerical solution contains accurate information which can be extracted by a Gegenbauer polynomial based post-processing.
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    Gibbs phenomenon
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    Fourier spectral method
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    nonlinear conservation laws
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    numerical case study
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    moments
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    Gegenbauer polynomial based post-processing
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