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Variational integrators, the Newmark scheme, and dissipative systems

West, M. and Kane, C. and Marsden, J. E. and Ortiz, M. (2000) Variational integrators, the Newmark scheme, and dissipative systems. In: Equadiff 99, International Conference on Differential Equations,. Singapore : World Scientific , pp. 1009-1011. ISBN 9789810243593.

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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.

Item Type:Book Section
Ortiz, M.0000-0001-5877-4824
Additional Information:© 2000, World Scientific. Pub. date: Sep 2000.
Record Number:CaltechAUTHORS:20100917-084012847
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20001
Deposited By: Ruth Sustaita
Deposited On:17 Sep 2010 21:20
Last Modified:24 Feb 2020 10:30

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