This page tries to list most of the available functionalities of the MEDCoupling library. It is by no mean exhaustive, but gives an overview of the capabilities of the core library.
Example: Getting a field copy with different time discretization
Example: Creation of a sub part of a field
And also:
Example: Some operations that can be carried out on fields on cells
Example: Subtracting field on different meshes
Example: Some operations that can be carried out on fields on cells
Example: Some operations that can be carried out on fields on cells
A full section is dedicated to interpolation, as this is far from being a trivial matter. See: Interpolation