# Discrete calculus with cubic cells on discrete manifolds

## TL;DR

This paper provides a rigorous, practical guide to discrete exterior calculus on cubic cells within discrete manifolds, demonstrating its application on a discrete torus and recovering classical theorems.

## Contribution

It introduces a version of discrete exterior calculus on cubic cells for discrete manifolds, with detailed exposition and practical examples.

## Key findings

- Successfully applied DEC on a discrete torus
- Recovered Gauss and Stokes theorems in the discrete setting
- Provided a rigorous, operative guide for DEC on cubic cells

## 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.