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Computations of Eigenvalue Avoidance in Planar Domains

  1. T. Betcke,
  2. L. N. Trefethen

Article first published online: 27 DEC 2004

DOI: 10.1002/pamm.200410298

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PAMM

PAMM

Volume 4, Issue 1, pages 634–635, December 2004

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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

Author Information

  1. Oxford University, Computing Laboratory, Parks Road, Oxford OX1 3QD, United Kingdom

Publication History

  1. Issue published online: 27 DEC 2004
  2. Article first published online: 27 DEC 2004

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References

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    M. V. Berry and M. Wilkinson, Diabolical points in the spectra of triangles, Proc. R. Soc. Lond. A 392, 15–43 (1984).
  • [2]
    T. Betcke and L. N. Trefethen, Reviving the method of particular solutions, Tech. Rep. NA-03/12, Oxford University, Computing Laboratory, Oxford, UK (2003).
  • [3]
    P. Lax, Linear Algebra (John Wiley & Sons Inc, 1996).
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    M. Teytel, How rare are multiple eigenvalues?, Comm. Pure Appl. Math. 52 , 917–934 (1999).
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    K. Uhlenbeck, Generic properties of eigenfunctions, Amer. J. Math. 98 , 1059–1078 (1976).
  • [6]
    J. von Neumann and E. Wigner, Über das Verhalten von Eigenwerten bei Adiabatischen Prozessen, Phys. Z. 30, 467–470 (1929).
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