Abstract |
Damped mechanical systems provide a wonderful laboratory
in which to explore spectral properties of non-self-adjoint
differential operators. In this talk we shall describe
a variety of our recent investigations in this area,
touching on theory (eigenvalue bounds for a model of
a conducting wire vibrating in a magnetic field),
computation (careful pseudospectral discretizations
for analysis of transient energy behavior), and
experiment (careful physical measurements of eigenvalues
from the monochord in our string vibration lab).
[Joint work with Steve Cox, Jeff Hokanson, and Walter Kelm] |
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