Is there a good Fortran package for SDE, DDE and ODE?

Just to be on the clear side, I was only quoting part of their conclusion. They do also make some remarks in favor of Julia. But perhaps the rebuttal of that paper can go to a new thread or the Julia Discourse.

To return to the original question, I have personally used the following ODE solvers:

In a distant past I also used LSODE from ODEPACK which gave good results, but the API is rather cumbersome. Another problem with many of the Fortran ODE solvers is they are not thread-safe.

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