pogona.EmbeddedRungeKuttaMethod
- class pogona.EmbeddedRungeKuttaMethod[source]
Bases:
ABC
Butcher tableau for a specific Runge-Kutta method as defined here: https://web.archive.org/save/https://en.wikipedia.org/wiki/List_of_Runge–Kutta_methods
Attributes
The order of the higher-order method used for the actual integration.
A square matrix.
'Horizontal header', starting from the left, 2 rows where the first row should give the higher-order accuracy solution.
A 1D matrix, 'vertical header'
- __init__()
Methods
__init__
()compute
(func, t_old, y_old, dt)- param func
A function mapping a time t and value y to
- compute(func: Callable[[float, Any], Any], t_old: float, y_old: Any, dt: float) Tuple[Any, Any, Any] [source]
- Parameters
func – A function mapping a time t and value y to a time derivative of y (dy/dt).
t_old – Time of the previous time step.
y_old – Value at t_old.
dt – delta time.
- Returns
The predicted new value with highest-order accuracy, the predicted new value with lower-order accuracy, and the difference (error) between the two.
- A: ndarray
A square matrix.
- B: ndarray
‘Horizontal header’, starting from the left, 2 rows where the first row should give the higher-order accuracy solution.
- C: ndarray
A 1D matrix, ‘vertical header’
- abstract property order
The order of the higher-order method used for the actual integration.