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Characteristic spectra of the curvature functional: a numerical study in bifurcation

Characteristic spectra of the curvature functional: a numerical study in bifurcation A method is described for the eignevalues of piecewise smooth C 2 extremum-energy curves. Typical interpolants are investigated within the framework of their eigensystems, and conclusions are presented concerning their natural modes of vibration, stability state, and limits of existence. In the present discussion the word “spline” means exclusively an interpolating elastica. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM Transactions on Mathematical Software (TOMS) Association for Computing Machinery

Characteristic spectra of the curvature functional: a numerical study in bifurcation

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Publisher
Association for Computing Machinery
Copyright
Copyright © 1999 by ACM Inc.
ISSN
0098-3500
DOI
10.1145/332242.332245
Publisher site
See Article on Publisher Site

Abstract

A method is described for the eignevalues of piecewise smooth C 2 extremum-energy curves. Typical interpolants are investigated within the framework of their eigensystems, and conclusions are presented concerning their natural modes of vibration, stability state, and limits of existence. In the present discussion the word “spline” means exclusively an interpolating elastica.

Journal

ACM Transactions on Mathematical Software (TOMS)Association for Computing Machinery

Published: Dec 1, 1999

References