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Discrete differential forms for computational modeling

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1145/1198555.1198666DOIPaper
http://dl.acm.org/citation.cfm?doid=1198555.1198666PublisherPaper
ORCID:
AuthorORCID
Desbrun, Mathieu0000-0003-3424-6079
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: Kristin Buxton
Deposited On:12 Oct 2016 23:16
Last Modified:11 Nov 2021 04:37

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