Seminar series
Date
Thu, 06 Feb 2003
Time
14:00 -
15:00
Location
Comlab
Speaker
Prof Nick Trefethen
Organisation
University of Oxford
Many questions of interest to both mathematicians and physicists relate
to the behavior of eigenvalues and eigenmodes of the Laplace operator
on a polygon. Algorithmic improvements have revived the old "method
of fundamental solutions" associated with Fox, Henrici and Moler; is it
going to end up competitive with the state-of-the-art method of Descloux,
Tolley and Driscoll? This talk will outline the numerical issues but
give equal attention to applications including "can you hear the shape
of a drum?", localization of eigenmodes, eigenvalue avoidance, and the
design of drums that play chords.
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This is very much work in progress -- with graduate student Timo Betcke.