zwicker-group / py-pde

Python package for solving partial differential equations using finite differences.

Home Page:https://py-pde.readthedocs.io

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Add method for making directional derivatives to GridClasses

david-zwicker opened this issue · comments

We often need directional derivatives, particularly in Cartesian coordinates. It might be useful to add a make_directional_derivative method to CartesianGrid, which would basically serve as a wrapper to pde.grids.operators.cartesian._make_derivative. Typical arguments would allow specifying the axis, the order of the derivative (currently supporting 1 and 2), and maybe extra arguments to distinguish forward and backward derivatives.

This problem came up multiple times in the Discussions, e.g., in #199 and #364.

Alternatively, we could also extend the existing method make_operator and make_operator_no_bc to support d_dx and similar functions directly. This would probably be more intuitive (and might even simplify the PDE class).

We might also add a method to grid classes that return what operators are defined.