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Assorted basic Ordinary Differential Equation solvers for scientific machine learning (SciML). Deprecated: Use DifferentialEquations.jl instead.

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While reading up on old julia-users posts, I found [this thread](https://groups.google.com/d/topic/julia-users/blSMJGRfn7E/discussion) which announces [IVPTestSuite.jl](https://github.com/mauro3/IVPTestSuite.jl). ODE.jl solvers are tested in the benchmarks published in that thread, but we could probably utilize...

I would like to know if dense output, in particular for ode45, is in the works or not. If not, I could give it a try, however 1. i do...

enhancement

I was thinking about https://github.com/JuliaLang/ODE.jl/issues/11 and just relaised that an iterator version of the ODE solvers might be a viable solution. As this is a different idea than the event...

enhancement

I think some examples like following will benefits a lot for new users and also can be used for education purposes. 1. [Chemical reaction of Robertson(stiff problem)](http://www.radford.edu/~thompson/vodef90web/problems/demosnodislin/Single/DemoRobertson/demorobertson.pdf) 2. [Elliptical Orbit...