Back to Search
Start Over
The Origin and Nature of Spurious Eigenvalues in the Spectral Tau Method
- Source :
- Journal of Computational Physics. 147:441-462
- Publication Year :
- 1998
- Publisher :
- Elsevier BV, 1998.
-
Abstract
- 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.
- Subjects :
- Numerical Analysis
Matrix differential equation
Physics and Astronomy (miscellaneous)
Applied Mathematics
Mathematical analysis
Mathematics::Spectral Theory
Computer Science Applications
Computational Mathematics
Dirichlet eigenvalue
Modeling and Simulation
Spectrum of a matrix
Boundary value problem
Spectral method
Eigenvalue perturbation
Eigenvalues and eigenvectors
Eigendecomposition of a matrix
Mathematics
Subjects
Details
- ISSN :
- 00219991
- Volume :
- 147
- Database :
- OpenAIRE
- Journal :
- Journal of Computational Physics
- Accession number :
- edsair.doi...........7460b983a3f93d1daa21db843474a0bf