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1999 Numerical calculation of the essential spectrum of a Laplacian
J. W. Neuberger, R. J. Renka
Experiment. Math. 8(3): 301-308 (1999).

Abstract

We consider a bounded Rooms and Passages region $\Omega$ on which the negative Neumann laplacian (restricted to the orthogonal complement of the constant functions) does not have a compact inverse and hence has an essential spectrum. We try to understand how such spectra may be approximated by results from a sequence of finite-dimensional problems. Approximations to this laplacian on finite-dimensional structures have only eigenvalues for spectra. Our strategy is to attempt to discern how results on increasingly better approximating structures point to spectral results in the limiting case.

Citation

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J. W. Neuberger. R. J. Renka. "Numerical calculation of the essential spectrum of a Laplacian." Experiment. Math. 8 (3) 301 - 308, 1999.

Information

Published: 1999
First available in Project Euclid: 9 March 2003

zbMATH: 0955.65079
MathSciNet: MR1724162

Subjects:
Primary: 65T99
Secondary: 47A75 , 65N99

Rights: Copyright © 1999 A K Peters, Ltd.

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Vol.8 • No. 3 • 1999
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