Numerical Methods for ODEs

Numerical methods for ordinary differential equations (ODEs).

• Base Integrator
  • brainpy.integrators.ode.base.ODEIntegrator
• Generic Functions
  • brainpy.integrators.ode.generic.odeint
  • brainpy.integrators.ode.generic.set_default_odeint
  • brainpy.integrators.ode.generic.get_default_odeint
  • brainpy.integrators.ode.generic.register_ode_integrator
  • brainpy.integrators.ode.generic.get_supported_methods
• Explicit Runge-Kutta Methods
  • brainpy.integrators.ode.explicit_rk.ExplicitRKIntegrator
  • brainpy.integrators.ode.explicit_rk.Euler
  • brainpy.integrators.ode.explicit_rk.MidPoint
  • brainpy.integrators.ode.explicit_rk.Heun2
  • brainpy.integrators.ode.explicit_rk.Ralston2
  • brainpy.integrators.ode.explicit_rk.RK2
  • brainpy.integrators.ode.explicit_rk.RK3
  • brainpy.integrators.ode.explicit_rk.Heun3
  • brainpy.integrators.ode.explicit_rk.Ralston3
  • brainpy.integrators.ode.explicit_rk.SSPRK3
  • brainpy.integrators.ode.explicit_rk.RK4
  • brainpy.integrators.ode.explicit_rk.Ralston4
  • brainpy.integrators.ode.explicit_rk.RK4Rule38
• Adaptive Runge-Kutta Methods
  • brainpy.integrators.ode.adaptive_rk.AdaptiveRKIntegrator
  • brainpy.integrators.ode.adaptive_rk.RKF12
  • brainpy.integrators.ode.adaptive_rk.RKF45
  • brainpy.integrators.ode.adaptive_rk.DormandPrince
  • brainpy.integrators.ode.adaptive_rk.CashKarp
  • brainpy.integrators.ode.adaptive_rk.BogackiShampine
  • brainpy.integrators.ode.adaptive_rk.HeunEuler
• Exponential Integrators
  • brainpy.integrators.ode.exponential.ExponentialEuler
• Error Analysis of Numerical Methods