choreo.segm.ODE.ImplicitRKTable#

class ImplicitRKTable(a_table=None, quad_table=None, beta_table=None, gamma_table=None, th_cvg_rate=None)#

Butcher Tables for fully implicit Runge-Kutta methods

Butcher tables defined in [1] and [2].

Class Constructor

Methods Summary

`__init__`
`is_symmetric`	Returns `True` if the Runge-Kutta method is symmetric.
`is_symmetric_pair`	Returns `True` if the pair of Runge-Kutta methods is symmetric.
`is_symplectic`	Returns `True` if the Runge-Kutta method is symplectic.
`is_symplectic_pair`	Returns `True` if the pair of Runge-Kutta methods is symplectic.
`symmetric_adjoint`	Computes the symmetric adjoint of a `ImplicitRKTable`.
`symmetry_default`	Computes the symmetry default of a single / a pair of `ImplicitRKTable`.
`symplectic_adjoint`	Computes the symplectic adjoint of a `ImplicitRKTable`.
`symplectic_default`	Computes the symplecticity default of a single / a pair of `ImplicitRKTable`.

Attributes