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On 14/02/2011, at 10:40 PM, Francesco Abbate wrote:

> 2011/2/14 Geoff Leyland <geoff_leyland@fastmail.fm>:
>>> By the way if someone want to help with this task he is very welcome.
>> Any particular reason to use RK4?  My trusty old copy of Numerical Recipes suggests higher order methods with implicit error estimation are better.
> 
> Hi,
> 
> I agree with you, other methods are better but the idea is that I want
> to test the LuaJIT implementation with a simpler algorithm and if it
> works I will implement later a better algorithm.

What's the state of the art for non-stiff, stiff and interpolable ODE solvers?  My NR is pretty old, so there might be new schemes.  In any case, though, I have no immediate use for it, I'm interested in a Lua implementation!