2006.367: Computed eigenmodes of planar regions
2006.367: Lloyd N. Trefethen and Timo Betcke (2005) Computed eigenmodes of planar regions. AMS Contemporary Mathematics.
Full text available as:
 | PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 1178 Kb |
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | billiards, drums, Helmholtz equation, level repulsion, membranes, quantum chaos, Schrödinger operator |
| Subjects: | MSC 2000 > 35 Partial differential equations MSC 2000 > 65 Numerical analysis |
| MIMS number: | 2006.367 |
| Deposited By: | Dr. Timo Betcke |
| Deposited On: | 14 September 2006 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item