brainpy.integrators module

• Numerical Methods for ODEs
  • Explicit Runge-Kutta methods
    • brainpy.integrators.ode.euler
    • brainpy.integrators.ode.midpoint
    • brainpy.integrators.ode.heun2
    • brainpy.integrators.ode.ralston2
    • brainpy.integrators.ode.rk2
    • brainpy.integrators.ode.rk3
    • brainpy.integrators.ode.heun3
    • brainpy.integrators.ode.ralston3
    • brainpy.integrators.ode.ssprk3
    • brainpy.integrators.ode.rk4
    • brainpy.integrators.ode.ralston4
    • brainpy.integrators.ode.rk4_38rule
  • Adaptive Runge-Kutta methods
    • brainpy.integrators.ode.rkf45
    • brainpy.integrators.ode.rkf12
    • brainpy.integrators.ode.rkdp
    • brainpy.integrators.ode.ck
    • brainpy.integrators.ode.bs
    • brainpy.integrators.ode.heun_euler
  • Other methods
    • brainpy.integrators.ode.exponential_euler
• Numerical Methods for SDEs
  • brainpy.integrators.sde.euler
  • brainpy.integrators.sde.heun
  • brainpy.integrators.sde.milstein
  • brainpy.integrators.sde.exponential_euler
  • brainpy.integrators.sde.srk1w1_scalar
  • brainpy.integrators.sde.srk2w1_scalar
  • brainpy.integrators.sde.KlPl_scalar

General functions

odeint([f, method])	Numerical integration for ODE.
sdeint([f, method])
set_default_odeint(method)	Set the default ODE numerical integrator method for differential equations.
get_default_odeint()	Get the default ODE numerical integrator method.
set_default_sdeint(method)	Set the default SDE numerical integrator method for differential equations.
get_default_sdeint()	Get the default ODE numerical integrator method.

Numerical Methods for ODEs

ode.euler	The Euler method is first order.
ode.midpoint	midpoint method for ordinary differential equations.
ode.heun2	Heun's method for ordinary differential equations.
ode.ralston2	Ralston's method for ordinary differential equations.
ode.rk2	Runge–Kutta methods for ordinary differential equations.
ode.rk3	Classical third-order Runge-Kutta method for ordinary differential equations.
ode.heun3	Heun's third-order method for ordinary differential equations.
ode.ralston3	Ralston's third-order method for ordinary differential equations.
ode.ssprk3	Third-order Strong Stability Preserving Runge-Kutta (SSPRK3).
ode.rk4	Classical fourth-order Runge-Kutta method for ordinary differential equations.
ode.ralston4	Ralston's fourth-order method for ordinary differential equations.
ode.rk4_38rule	3/8-rule fourth-order method for ordinary differential equations.
ode.rkf45	The Runge–Kutta–Fehlberg method for ordinary differential equations.
ode.rkf12	The Fehlberg RK1(2) method for ordinary differential equations.
ode.rkdp	The Dormand–Prince method for ordinary differential equations.
ode.ck	The Cash–Karp method for ordinary differential equations.
ode.bs	The Bogacki–Shampine method for ordinary differential equations.
ode.heun_euler	The Heun–Euler method for ordinary differential equations.
ode.exponential_euler	First order, explicit exponential Euler method.

Numerical Methods for SDEs

sde.euler
sde.heun
sde.milstein
sde.exponential_euler	First order, explicit exponential Euler method.
sde.srk1w1_scalar	Order 2.0 weak SRK methods for SDEs with scalar Wiener process.
sde.srk2w1_scalar	Order 1.5 Strong SRK Methods for SDEs witdt Scalar Noise.
sde.KlPl_scalar	Order 1.0 Strong SRK Methods for SDEs with Scalar Noise.