This notebook demonstrates how to formulate continuous differential operators in *pystencils* and automatically derive finite difference stencils from them.
Instead of using the built-in derivatives in *sympy*, *pystencils* comes with its own derivative objects. They represent spatial derivatives of pystencils fields.
This object is the derivative of the field $f$ with respect to the first spatial coordinate $x$. To get a finite difference approximation a discretization strategy is required:
