A modified tau spectral method that eliminates spurious eigenvalues
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Publication:1113627
DOI10.1016/0021-9991(89)90093-4zbMath0661.65084OpenAlexW2016518134MaRDI QIDQ1113627
Steven A. Trogdon, Rod W. Douglass, David R. Gardner
Publication date: 1989
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9991(89)90093-4
convergencenumerical instabilityPoiseuille flowtruncated series expansionspurious eigenvaluesOrr-Sommerfeld stability equationtau spectral method
Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)
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Cites Work
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- A Chebyshev method for the solution of boundary value problems
- Removal of spurious modes encountered in solving stability problems by spectral methods
- Complex coordinate methods for hydrodynamic instabilities and Sturm- Liouville eigenproblems with an interior singularity
- Chebyshev Methods for Ordinary Differential Equations
- Accurate solution of the Orr–Sommerfeld stability equation
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