Class ODESolver
The class ODESolver 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).
API Documentation¶
__init__(ode, t_step, dt=0.001)
¶
Initializes the ODESolver with the given ordinary differential equation (ODE), time step, and optional time increment.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
ode
|
AbstractODE
|
The ordinary differential equation to be solved. |
required |
t_step
|
float
|
The time step for the solver. |
required |
dt
|
float
|
The time increment for each step. Defaults to 1e-3. |
0.001
|
step(x, u)
¶
Perform a single step of the ODE solver.
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
x
|
Tensor
|
The current state of the system. |
required |
u
|
Tensor
|
The control input or parameters on the system. |
required |
Returns:
| Type | Description |
|---|---|
NotImplementedError
|
This method is intended to be overridden by subclasses to implement specific ODE solving logic. |