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)
observation_map (a function handle) – A function that takes the PDE solution as input and the returns the observed solution. e.g. observation_map=lambda u: u**2 or observation_map=lambda u: u[0]
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).

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

Methods

`__init__`(PDE_form[, grid_sol, grid_obs, ...])
`assemble`(parameter)
`observe`(solution)
`solve`()

Attributes