Class FlowMap

The class FlowMap implements the flow map \(\varphi_t(x) := x(t), x(0) = x\). This class serves as a base class for various numerical solvers for initial value problems (IVPs).

Attributes¶

• _t_step (float): The time step size of the trajectory.
• _dt (float): The time step size of the flow map.

Methods¶

• __init__(self, dt)
• step(self, ode, x, u):
  • ode (AbstractODE): The ODE object.
  • x (tensor): The state vector.
  • u (tensor): The parameters input.
  • Returns (tensor): The next state vector.