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Discrete Differential Forms for Computational Modeling

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.

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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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Desbrun, Mathieu0000-0003-3424-6079
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.
Record Number:CaltechAUTHORS:20161006-135035577
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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=
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:70925
Deposited On:12 Oct 2016 23:13
Last Modified:11 Nov 2021 04:37

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