Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published September 2000 | Updated
Book Section - Chapter Open

Variational integrators, the Newmark scheme, and dissipative systems

Abstract

Variational methods are a class of symplectic-momentum integrators for ODEs. Using these schemes, it is shown that the classical Newmark algorithm is structure preserving in a non-obvious way, thus explaining the observed numerical behavior. Modifications to variational methods to include forcing and dissipation are also proposed, extending the advantages of structure preserving integrators to non-conservative systems.

Additional Information

© 2000, World Scientific. Pub. date: Sep 2000.

Attached Files

Updated - WeKaMaOr2000.pdf

Files

WeKaMaOr2000.pdf
Files (154.8 kB)
Name Size Download all
md5:157bf767225226a041a3260692ccdc65
154.8 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023