PDE

class cuqi.pde.PDE(PDE_form, grid_sol=None, grid_obs=None, observation_map=None)

Parametrized PDE abstract base class

Parameters:

• PDE_form (callable function) – Callable function which returns a tuple of the needed PDE components (expected components are explained in the subclasses)

• grid_sol (np.ndarray) – The grid on which solution is defined

• grid_obs (np.ndarray) – The grid on which the observed solution should be interpolated (currently only supported for 1D problems).

• observation_map (a function handle) – A function that takes the PDE solution, interpolated on grid_obs, as input and returns the observed solution. e.g., observation_map=lambda u, grid_obs: u**2.

__init__(PDE_form, grid_sol=None, grid_obs=None, observation_map=None)

Methods

__init__(PDE_form[, grid_sol, grid_obs, ...])
assemble(*args, **kwargs)
observe(solution)
solve()

Attributes

grid_obs
grid_sol
grids_equal