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Section 21
Computations of Eigenvalue Avoidance in Planar Domains
Article first published online: 27 DEC 2004
DOI: 10.1002/pamm.200410298
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1617-7061/asset/cover.gif?v=1&s=79b6ccfe3470758033c99b476335ce58b5a38819 "PAMM")
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How to Cite
Betcke, T. and Trefethen, L. N. (2004), Computations of Eigenvalue Avoidance in Planar Domains. Proc. Appl. Math. Mech., 4: 634–635. doi: 10.1002/pamm.200410298
Publication History
- Issue published online: 27 DEC 2004
- Article first published online: 27 DEC 2004
- Abstract
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Abstract
The phenomenon of eigenvalue avoidance is of growing interest in applications ranging from quantum mechanics to the theory of the Riemann zeta function. Until now the computation of eigenvalues of the Laplace operator in planar domains has been a difficult problem, making it hard to compute eigenvalue avoidance. Based on a new method this paper presents the computation of eigenvalue avoidance for such problems to almost machine precision. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)