For some years I was thinking to do some large-scale numerical mathematics
with J. It was clear to me from the very beginning that J can be an ideal
language for this, very concise and efficient. But many important ingredients
were lacking, like routines for numerical integration, Fourier transforms, ODE
solving, vector field visualization. There were some, of course, but scattered
and unsupported.
This time, when I needed to integrate Landau-Lifshitz-Gilbert equation from
magnetism on finite element mesh (to simulate dynamics of nano-scale magnets),
I decided to put together some bits and pieces (including my own) in a form of
simulation language I called J&+ ("with J added", jplus or J+) and an ODE
solver yacts. You can find the details here:
http://www.fti.dn.ua/~metlov/jplus/
Have a look !
With the best regards,
Konstantin.
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