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Trott's Corner: The Sound of an Unusual Drum

Michael Trott
Organization: Wolfram Research, Inc.
Department: Scientific Information Group
Journal / Anthology

The Mathematica Journal
Year: 2004
Volume: 9
Issue: 3

The eigenvalue spectrum of the Laplace operator (and its negative) is of fundamental importance in mathematics and physics. In this column, the lowest eigenvalues of a fractal 2D drum are calculated using a finite element discretization. The corresponding eigenfunctions and their gradients are visualized. The cumulative number of the first 1000 eigenvalues is calculated and compared with Weyl's asymptotic formula.

*Engineering > Acoustical Engineering
*Mathematics > Algebra > Linear Algebra
*Mathematics > Geometry > Computational Geometry
*Mathematics > Recreational Mathematics
*Science > Physics > Wave Motion