✦ LIBER ✦

The Origin and Nature of Spurious Eigenvalues in the Spectral Tau Method

✍ Scribed by Paul T. Dawkins; Steven R. Dunbar; Rod W. Douglass

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 226 KB
Volume: 147
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1998.6095

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✦ Synopsis

The Chebyshev-tau spectral method for approximating eigenvalues of boundary value problems may produce spurious eigenvalues with large positive real parts, even when all true eigenvalues of the problem are known to have negative real parts. We explain the origin and nature of the "spurious eigenvalues" in an example problem. The explanation will demonstrate that the large positive eigenvalues are an approximation of infinite eigenvalues in a nearby generalized eigenvalue problem.

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