The Mathematical Institute, University of Oxford, Eprints Archive

Computations of eigenvalue avoidance in planar domains

Betcke, Timo and Trefethen, Lloyd N. (2004) Computations of eigenvalue avoidance in planar domains. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1175
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:43
Last Modified:14 May 2011 08:43

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