LinearPDE#

class cuqi.pde.LinearPDE(PDE_form, linalg_solve=None, linalg_solve_kwargs=None, **kwargs)#

Parametrized Linear PDE 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)

  • linalg_solve (lambda function or function handle) – linear system solver function to solve the arising linear system with the signature x, val1, val2, ...=linalg_solve(A,b,**linalg_solve_kwargs)() where A is the linear operator and b is the right hand side. linalg_solve_kwargs is any keywords arguments that the function linalg_solve() can take. x is the solution of A*x=b of type numpy.ndarray. val1, val2, etc. are optional and can be a one or more values the solver return, e.g. information and number of iterations (for iterative solvers). If linalg_solve is None, scipy.linalg.solve() will be used.

  • linalg_solve_kwargs (a dictionary) – A dictionary of the keywords arguments that linalg_solve can take.

  • kwargs – See PDE for the remaining keyword arguments.

__init__(PDE_form, linalg_solve=None, linalg_solve_kwargs=None, **kwargs)#

Methods

__init__(PDE_form[, linalg_solve, ...])

assemble(parameter)

observe(solution)

solve()

Attributes

grid_obs

grid_sol

grids_equal