The Mathematical Institute, University of Oxford, Eprints Archive

Computed eigenmodes of planar regions

Trefethen, Lloyd N. and Betcke, Timo (2005) Computed eigenmodes of planar regions. Technical Report. Unspecified. (Submitted)

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Abstract

Recently developed numerical methods make possible the high-accuracy computation of eigenmodes of the Laplacian for a variety of "drums" in two dimensions. A number of computed examples are presented together with a discussion of their implications concerning bound and continuum states, isospectrality, symmetry and degeneracy, eigenvalue avoidance, resonance, localization, eigenvalue optimization, perturbation of eigenvalues and eigenvectors, and other matters.

Timo Betcke was supported by a Scatcherd European Scholarship.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Mechanics of deformable solids
O - Z > Partial differential equations
O - Z > Quantum theory
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1139
Deposited By:Lotti Ekert
Deposited On:12 May 2011 08:35
Last Modified:12 May 2011 08:35

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