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Asymptotic analysis of spectral methods

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Abstract

A detailed asymptotic analysis of spectral methods for prototype problems is presented. Asymptotic error behavior throughout the solution regime is given. A number of surprising results are presented, including theO(N) boundedness of the eigenvalues of collocation on Legendre points.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics, Tel Aviv University, 69978, Ramat-Aviv, Tel-Aviv, Israel

    Moshe Dubiner

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  1. Moshe Dubiner
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Dubiner, M. Asymptotic analysis of spectral methods. J Sci Comput 2, 3–31 (1987). https://doi.org/10.1007/BF01061510

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  • DOI: https://doi.org/10.1007/BF01061510

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