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Discrete calculus with cubic cells on discrete manifolds

Published 17 Jun 2019 in cs.DM and math.DG | (1906.07054v5)

Abstract: This work is thought as an operative guide to discrete exterior calculus (DEC), but at the same time with a rigorous exposition. We present a version of (DEC) on cubic cell, defining it for discrete manifolds. An example of how it works, it is done on the discrete torus, where usual Gauss and Stokes theorems are recovered.

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