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A note on energy conservation and stability of nonlinear time-stepping algorithms

Ortiz, Michael (1986) A note on energy conservation and stability of nonlinear time-stepping algorithms. Computers and Structures, 24 (1). pp. 167-168. ISSN 0045-7949. https://resolver.caltech.edu/CaltechAUTHORS:20180105-151113322

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Abstract

An example of a nonlinear time-stepping algorithm which preserves energy exactly but is unstable is presented and used to illustrate the fact that energy conservation is not sufficient for numerical stability in the nonlinear range.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0045-7949(86)90346-9DOIArticle
http://www.sciencedirect.com/science/article/pii/0045794986903469PublisherArticle
Additional Information:© 1986 Elsevier. (Received 20 January 1986)
Group:GALCIT
Issue or Number:1
Record Number:CaltechAUTHORS:20180105-151113322
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180105-151113322
Official Citation:Michael Ortiz, A note on energy conservation and stability of nonlinear time-stepping algorithms, In Computers & Structures, Volume 24, Issue 1, 1986, Pages 167-168, ISSN 0045-7949, https://doi.org/10.1016/0045-7949(86)90346-9. (http://www.sciencedirect.com/science/article/pii/0045794986903469)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84143
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:08 Jan 2018 21:12
Last Modified:03 Oct 2019 19:15

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