Desbrun, Mathieu and Kanso, Eva and Tong, Yiying (2005) Discrete differential forms for computational modeling. In: SIGGRAPH '05 ACM SIGGRAPH 2005 Courses. ACM , New York, NY, Art. No. 7. https://resolver.caltech.edu/CaltechAUTHORS:20161006-133111788
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Abstract
The emergence of computers as an essential tool in scientific research has shaken the very foundations of differential modeling. Indeed, the deeply-rooted abstraction of smoothness, or differentiability, seems to inherently clash with a computer’s ability of storing only finite sets of numbers. While there has been a series of computational techniques that proposed discretizations of differential equations, the geometric structures they are supposed to simulate are often lost in the process.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 2005 ACM. The authors wish to first thank Jerrold E. Marsden for his tremendous help and support along the way. We also wish to acknowledge the support of Anil Hirani, Melvin Leok, David Cohen-Steiner, Peter Schrőder, Sharif Elcott, Pierre Alliez, and Eitan Grinspun. | |||||||||
| DOI: | 10.1145/1198555.1198666 | |||||||||
| Record Number: | CaltechAUTHORS:20161006-133111788 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161006-133111788 | |||||||||
| Official Citation: | Mathieu Desbrun, Eva Kanso, and Yiying Tong. 2005. Discrete differential forms for computational modeling. In ACM SIGGRAPH 2005 Courses (SIGGRAPH '05), John Fujii (Ed.). ACM, New York, NY, USA, , Article 7 . DOI=http://dx.doi.org/10.1145/1198555.1198666 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 70923 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 12 Oct 2016 23:16 | |||||||||
| Last Modified: | 11 Nov 2021 04:37 |
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