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. doi:10.1016/0045-7949(86)90346-9. 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 | |||||||||
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| Additional Information: | © 1986 Elsevier. (Received 20 January 1986) | |||||||||
| Group: | GALCIT | |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1016/0045-7949(86)90346-9 | |||||||||
| 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: | 15 Nov 2021 20:17 |
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