choreo.segm.ODE.ImplicitRKTable.is_symplectic

ImplicitRKTable.is_symplectic(self, double tol=1e-12)

Returns True if the Runge-Kutta method is symplectic.

The method is inferred symplectic if its symplecticity default falls under the specified tolerance tol.

Example

>>> import choreo
>>> Radau_IA = choreo.segm.multiprec_tables.ComputeImplicitRKTable(method="Radau_IA")
>>> Radau_IA.is_symplectic()
False
>>> Radau_IB = choreo.segm.multiprec_tables.ComputeImplicitRKTable(method="Radau_IB")
>>> Radau_IB.is_symplectic()
True

See also

• symplectic_default()

• is_symplectic_pair()

Parameters:

tol (numpy.float64 , optional) – Tolerance on symplecticity default, by default 1e-12.

Returns:

Whether the method is symplectic given the tolerance tol.

Return type:

bool