choreo.segm.ODE.ImplicitRKTable.symmetric_adjoint#

ImplicitRKTable.symmetric_adjoint(self) → ImplicitRKTable#

Computes the symmetric adjoint of a ImplicitRKTable.

An integration method for an initial value problem maps a function value at an initial time to a final value. The symmetric adjoint of a method applied to the time-reversed system is the method that maps the final value given by the original method to the initial value. A method that is equal to its own symmetric adjoint is called symmetric.

Example

>>> import numpy as np
>>> import choreo
>>> random_method = choreo.segm.multiprec_tables.ComputeImplicitRKTable(nodes=np.random.random(10))
>>> random_method.is_symmetric_pair(random_method.symmetric_adjoint())
True