Desbrun, Mathieu and Kanso, Eva and Tong, Yiying (2006) Discrete Differential Forms for Computational Modeling. In: SIGGRAPH '06 ACM SIGGRAPH 2006 Courses. ACM , New York, NY, pp. 39-54. ISBN 1-59593-364-6. https://resolver.caltech.edu/CaltechAUTHORS:20161006-135035577
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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 simulating are often lost in the process.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 2006 ACM. The authors wish to first thank Jerrold E. Marsden for his tremendous support along the way. Peter Schrőoder and Herbert Edelsbrunner helped us with a thorough proofreading of this document. We also wish to acknowledge the support of Alain Bossavit, Anil Hirani, Melvin Leok, David Cohen-Steiner, Sharif Elcott, Pierre Alliez, and Eitan Grinspun. | |||||||||
| DOI: | 10.1145/1185657.1185665 | |||||||||
| Record Number: | CaltechAUTHORS:20161006-135035577 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161006-135035577 | |||||||||
| Official Citation: | Mathieu Desbrun, Eva Kanso, and Yiying Tong. 2006. Discrete differential forms for computational modeling. In ACM SIGGRAPH 2006 Courses (SIGGRAPH '06). ACM, New York, NY, USA, 39-54. DOI=http://dx.doi.org/10.1145/1185657.1185665 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 70925 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 12 Oct 2016 23:13 | |||||||||
| Last Modified: | 11 Nov 2021 04:37 |
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