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Stabilization techniques for spectral methods

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Abstract

We introduce a stabilized treatment of spectral methods. The condition number of the spectral systems is highly improved. Elliptic and biharmonic problems are considered. Suitable interpolants in the case of inhomogeneous Dirichlet boundary conditions are presented. For a direct solver the improvements with respect to rounding error propagation are numerically demonstrated.

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Authors and Affiliations

  1. Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf, Universitätsstrasse 1, D-4000, Düsseldorf 1, Germany

    Wilhelm Heinrichs

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  1. Wilhelm Heinrichs
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Heinrichs, W. Stabilization techniques for spectral methods. J Sci Comput 6, 1–19 (1991). https://doi.org/10.1007/BF01068121

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  • DOI: https://doi.org/10.1007/BF01068121

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