How do strings vibrate and what forces slow them?
How can one still a vibrating body as quickly as possible?
Can one deduce material properties of a body from measurements
of its vibrations?
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CAAM 499
1-3 credits
Tuesdays, 3-4pm
Design, build and use a state-of-the-art monochord.
Measure complex eigenvalues and learn numerical means for computing
such eigenvalues. Build and test models of viscoelastic wound strings.
Prerequisite: consent of instructor.
Schedule, notes, MATLAB codes, etc.
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CAAM 699
3 credits
Tuesdays, 4-5pm
Inverse Spectral Theory. Learn what the eigenvalues known.
We will cover one beautiful method, [1], in depth and survey
the methods in [2] and [3].
Prerequisite: complex analysis.
[1] J. Pöschel and E. Trubowitz.
Inverse Spectral Theory.
Academic Press, 1987.
[2] H. Dym and H. P. McKean.
Gaussian Processes, Function Theory and the Inverse Spectral Problem.
Academic Press, 1976.
[3] B. M. Levitan.
Inverse Sturm-Liouville Problems.
VSP, 1987.
Archive: Fall 2005 Seminar
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