Elimination of spurious eigenvalues in the Chebyshev tau spectral method
โ Scribed by G.B McFadden; B.T Murray; R.F Boisvert
- Book ID
- 107788956
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 604 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0021-9991
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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 eigenvalu
This work describes a practical way of constructing a spectral representation of linear boundary value problems (BVPs) using a tau method. All BVPs are treated as first-order systems, unlike most implementations which tend to view the problem in terms of a single high-order differential equation. Fo