How much useful are Runge-Kutta methods of order 9 and higher within double-precision arithmetic/floating point accuracy?

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Sciml scientific-machine-learning differential-equations Ode Sde

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  • DiffEqDevTools.jl

    Benchmarking, testing, and development tools for differential equations and scientific machine learning (SciML)

  • Fortran-Astrodynamics-Toolkit

    A Modern Fortran Library for Astrodynamics 🚀

    • In addition, I found the following Fortran package ( https://github.com/jacobwilliams/Fortran-Astrodynamics-Toolkit/blob/master/src/rk_module_variable_step.f90 ) that implements RKF8(9) and its coefficients . I don't see differences with the coefficients I typed and the ones on here.

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