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The frequency ω(x) and damping γ(x) terms do not need to be explicit functions of x (they can instead be e.g. the result of another numerical solution of an ODE), as they are supplied as sequences ωj , γj evaluated at xi ≤ xj ≤ xf , where (xi, xf ) is the integration range. (py)oscode is written in C++, but comes with a Python wrapper. Its Python interface was designed to be similar to those included in SciPy’s (Virtanen et al., 2020) numerical ODE solution modules. This is demonstrated in the example below whose output is shown in Figure 1.

(py)oscode: fast solutions of oscillatory ODEs