discretize.utils.ddx

discretize.utils.ddx(n)

Create 1D difference (derivative) operator from nodes to centers.

For n cells, the 1D difference (derivative) operator from nodes to centers is sparse, has shape (n, n+1) and takes the form:

\[\begin{split}\begin{bmatrix} -1 & 1 & & & \\ & -1 & 1 & & \\ & & \ddots & \ddots & \\ & & & -1 & 1 \end{bmatrix}\end{split}\]

Parameters:

nint

Number of cells

Returns:

(n, n + 1) scipy.sparse.csr_matrix

The 1D difference operator from nodes to centers.