Discrete differential forms for computational modeling

@inproceedings{Desbrun2005DiscreteDF,
  title={Discrete differential forms for computational modeling},
  author={Mathieu Desbrun and Eva Kanso and Yiying Tong},
  booktitle={SIGGRAPH Courses},
  year={2005}
}
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. 

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