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math.SP2003
Spectral Pollution
E B Davies, M Plum
We discuss the problems arising when computing eigenvalues of self-adjoint operators which lie in a gap between two parts of the essential spectrum. Spectral pollution, i.e. the ap…
math.SP1998
On the Spectrum of the Orr-Sommerfeld Equation on the semiaxis
Jan-R. Lahmann, Michael Plum
The Orr-Sommerfeld equation is a spectral problem which is known to play an important role in hydrodynamic stability. For an appropriate operator theoretical realization of the equ…