freude

The freude crate will provide steppers and integrators to solve ODEs (ordinary differential equations). It is inspired by boost::numeric::odeint.

Features

• Explicit fixed-step ODE solvers:
  • Euler
  • Heun
  • Classical 4-th order Runge Kutta (RK4)

Todo:

• Implicit methods
• Adaptive steppers
  • DOPRI, RKF45
• Symplectic solvers
• Generalized Runge Kutta methods (maybe via Butcher tableaus?)

Recent changes

• 0.4.0
  • Complete rework and simplification of the Ode and Stepper logic
    • Stepper no longer contains an Ode system but acts on Ode::State borrows
    • Removal of Integrator: absorbed into Stepper
    • Removal of Observer trait
  • Bump to ndarray 0.10
• 0.3.1
  • Implement steppers to work on tuples as defined in the tuple crate;
  • Implement ODE trait for generic functions/closures on tuples.
• 0.3.0
  • Update to ndarray 0.9
  • Unify Vec and ArrayBase stepper states through ndarray's Zip and IntoNdProducer traits
  • Provide several examples as benchmarks (Kuramoto and Chaotic Neural Network models)
• 0.2.0
  • Complete rework of the ODE, stepper, and integrator logic;
  • System state is no longer considered an internal property of an ODE, but a parameter passed to the stepper.
• 0.1.1
  • Implement Euler and Heun methods
• 0.1.0
  • Initial release
  • Definition of explicit, fixed step integrators, steppers
  • Definition of ODEs
  • Implementation of Runge-Kutta-4 method

Trivia

The crate's name freude is inspired by Beethoven's Ode an die Freude (“Ode to Joy”), and can be pronounced either /ˈfʀɔɪ̯də/ or, alternatively, froy-D-E (as in O-D-E).