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Re:A Comparison of Differential Equation Solver Suites by ivan_ah on Wednesday September 27, 2017 @08:54AM (#15347264)
For a more "systems" approach for ODEs, you should look at Modelica: https://en.wikipedia.org/wiki/Modelica It's very powerful stuff.
Re:A Comparison of Differential Equation Solver Suites by ihnorton on Wednesday September 27, 2017 @09:34AM (#15347613)
Julia's meta-programming functionality is ideal for implementing such domain-specific languages (the popular JuMP suite is a flagship example in a different domain: https://jump.readthedocs.io/en/latest/).

Several groups are working on systems inspired by Modelica, including:

http://tshort.github.io/Sims.jl/latest/

and

https://www.modelica.org/events/modelica2017/proceedings/htm... (https://github.com/ModiaSim/Modia.jl)