2006.366: Computations of Eigenvalue Avoidance in Planar Domains
2006.366: T. Betcke and L. N. Trefethen (2004) Computations of Eigenvalue Avoidance in Planar Domains. PAMM, Proceedings in Applied Mathematics and Mechanics, 4 (1). pp. 634-635. ISSN 1617-7061
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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: | Article |
|---|---|
| Subjects: | MSC 2000 > 65 Numerical analysis |
| MIMS number: | 2006.366 |
| Deposited By: | Dr. Timo Betcke |
| Deposited On: | 14 September 2006 |
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