oscillator_ode

oscillator_ode, a MATLAB code which sets up and solves a highly oscillatory ordinary differential equation (ODE).

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

oscillator_ode is available in a MATLAB version and an Octave version and a Python version.

Related Data and codes:

oscillator_ode_test

matlab_ode, MATLAB codes which set up various ordinary differential equations (ODE).

Reference:

1. Uri Ascher, Sebastian Reich,
   The midpoint scheme and variants for hamiltonian systems: advantages and disadvantages,
   SIAM Journal on Scientific Computing,
   Volume 21, Number 3, pages 1045-1065, 1999.

Source Code:

• oscillator_conserved.m, defines a conserved quantity of the ODE.
• oscillator_deriv.m, defines the right hand side of the ODE.
• oscillator_exact.m, defines the exact solution of the ODE.
• oscillator_parameters.m, returns parameters of the ODE.