PyDEC: Software and Algorithms for Discretization of Exterior Calculus. (arXiv:1103.3076v1 [cs.NA])

PyDEC: Software and Algorithms for Discretization of Exterior Calculus. (arXiv:1103.3076v1 [cs.NA]): "

This paper describes the algorithms, features and implementation of PyDEC, a
Python library for computations related to the Discretization of Exterior
Calculus (DEC). PyDEC facilitates inquiry into both physical problems on
manifolds as well as purely topological problems on abstract complexes. We
describe efficient algorithms for constructing the operators and objects that
arise in DEC and related topological problems. Our algorithms are formulated in
terms of high-level matrix operations which extend to arbitrary dimension. As a
result, our implementations map well to the facilities of numerical libraries
such as NumPy and SciPy. The availability of such libraries makes Python
suitable for prototyping numerical methods. We demonstrate how PyDEC is used to
solve physical and topological problems through several concise examples.

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