Projects per year
Abstract
The pollution-free approximation of the spectrum for self-adjoint operators using a quadratic projection method has recently been studied. Higher-order pollution-free approximation can be achieved by combining this technique with a method due to Kato. To illustrate, an example from magnetohydrodynamics is considered. Whether or not this procedure converges to the whole spectrum is unknown. Combining the quadratic method with the Galerkin method, we derive procedures that do converge to the whole spectrum and without pollution.
Original language | English |
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Pages (from-to) | 40-60 |
Number of pages | 21 |
Journal | IMA Journal of Numerical Analysis |
Volume | 31 |
Issue number | 1 |
Early online date | 27 Aug 2009 |
DOIs | |
Publication status | Published - 2011 |
Keywords
- second-order relative spectrum
- quadratic projection methods
- pollution
- eigenvalues
- pseudospectra
- spectral pollution
- relative spectra
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Projects
- 1 Finished
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Spectral Theory of Block Operator Matrices
EPSRC (Engineering and Physical Sciences Research Council)
1/09/07 → 30/11/09
Project: Research