oscode: Oscillatory ordinary differential equation solver

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Ada Coda
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oscode: Oscillatory ordinary differential equation solver

Post by Ada Coda » Thu Aug 29, 2019 6:16 pm

oscode: Oscillatory ordinary differential equation solver

Abstract: oscode solves oscillatory ordinary differential equations efficiently. It is designed to deal with equations of the form x¨(t)+2γ(t)x˙(t)+ω2(t)x(t)=0, where γ(t) and ω(t) can be given as explicit functions or sequence containers (Eigen::Vectors, arrays, std::vectors, lists) in C++ or as numpy.arrays in Python. oscode makes use of an analytic approximation of x(t) embedded in a stepping procedure to skip over long regions of oscillations, giving a reduction in computing time. The approximation is valid when the frequency changes slowly relative to the timescales of integration, it is therefore worth applying when this condition holds for at least some part of the integration range.

Credit: Agocs, Fruzsina J.; Handley, Will J.; Hobson, Mike; Lasenby, Anthony

Site: https://github.com/fruzsinaagocs/oscode

Bibcode: 2019ascl.soft08012A

Preferred citation method: https://ui.adsabs.harvard.edu/abs/2019arXiv190601421A

ID: ascl:1908.012

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