Discrete calculus with cubic cells on discrete manifolds

Fuente: arXiv
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Autore principale: De Carlo, Leonardo
Natura: Preprint
Pubblicazione: 2019
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author De Carlo, Leonardo
author_facet De Carlo, Leonardo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1906_07054
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Discrete calculus with cubic cells on discrete manifolds
De Carlo, Leonardo
Discrete Mathematics
Differential Geometry
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.
title Discrete calculus with cubic cells on discrete manifolds
topic Discrete Mathematics
Differential Geometry
url https://arxiv.org/abs/1906.07054