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### Time complexity of a numerical finite differences

if I have a function $f:\mathbb R^N\to \mathbb R$ and i would like to compute all the partial derivatives of $f$ w.r.t. the $N$ input, which is the computational complexity using the (ones sided) ...
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### Computing node, cell and face incidence in 3D structured meshes

I'm developing a PDE discretization algorithm that works on 3D uniform structured meshes. For this algorithm, I often have to traverse the mesh nodes and get the ids of all the faces and all the cells ...