brainpy.integrators.ode.RKF12#
- class brainpy.integrators.ode.RKF12(f, var_type=None, dt=None, name=None, adaptive=None, tol=None, show_code=False, state_delays=None, neutral_delays=None)[source]#
The Fehlberg RK1(2) method for ODEs.
The Fehlberg method has two methods of orders 1 and 2.
It has the characteristics of:
method stage = 2
method order = 1
Butcher Tables:
\[\begin{split}\begin{array}{l|ll} 0 & & \\ 1 / 2 & 1 / 2 & \\ 1 & 1 / 256 & 255 / 256 & \\ \hline & 1 / 512 & 255 / 256 & 1 / 512 \\ & 1 / 256 & 255 / 256 & 0 \end{array}\end{split}\]References
- __init__(f, var_type=None, dt=None, name=None, adaptive=None, tol=None, show_code=False, state_delays=None, neutral_delays=None)#
Methods
__init__
(f[, var_type, dt, name, adaptive, ...])build
()cpu
()Move all variable into the CPU device.
cuda
()Move all variables into the GPU device.
load_state_dict
(state_dict[, warn, compatible])Copy parameters and buffers from
state_dict
into this module and its descendants.load_states
(filename[, verbose])Load the model states.
nodes
([method, level, include_self])Collect all children nodes.
register_implicit_nodes
(*nodes[, node_cls])register_implicit_vars
(*variables[, var_cls])save_states
(filename[, variables])Save the model states.
set_integral
(f)Set the integral function.
state_dict
()Returns a dictionary containing a whole state of the module.
to
(device)Moves all variables into the given device.
tpu
()Move all variables into the TPU device.
train_vars
([method, level, include_self])The shortcut for retrieving all trainable variables.
tree_flatten
()Flattens the object as a PyTree.
tree_unflatten
(aux, dynamic_values)Unflatten the data to construct an object of this class.
unique_name
([name, type_])Get the unique name for this object.
vars
([method, level, include_self, ...])Collect all variables in this node and the children nodes.
Attributes
A
B1
B2
C
arguments
All arguments when calling the numer integrator of the differential equation.
dt
The numerical integration precision.
integral
The integral function.
name
Name of the model.
neutral_delays
neutral delays.
parameters
The parameters defined in the differential equation.
state_delays
State delays.
variables
The variables defined in the differential equation.