An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost

riccati: an adaptive, spectral solver for oscillatory ODEs

“…The riccati (Python) package implements the efficient numerical method described in Agocs & Barnett (2022) (dubbed ARDC for adaptive Riccati defect correction) for solving ODEs of the form 𝑢 ″ (𝑡) + 2𝛾(𝑡)𝑢 ′ (𝑡) + 𝜔 2 (𝑡)𝑢(𝑡) = 0, 𝑡 ∈ [𝑡 0 , 𝑡 1 ],…”