It's currently going through a major overhaul to get ready for public 
consumption, but CompEcon.jl <https://github.com/spencerlyon2/CompEcon.jl> 
provides 
a Julia implementation of the popular (amongst economists) CompEcon matlab 
toolbox.

It does irregular interpolation for an arbitrary number of dimensions using 
chebyshev, b-spline (of arbitrary order), or piecewise linear basis 
functions.

If you are interested, let me know. I haven't had time to write docs yet, 
but once I do it should be pretty straightforward. 

On Wednesday, July 29, 2015 at 10:44:37 AM UTC-4, Nils Gudat wrote:
>
> Besided GridInterpolations, you might want to look at ApproXD.jl, which 
> works up to four dimensions. I once wrote a little script that compares 
> different one- and two-dimensional interpolation schemes in Julia, it can 
> be found here 
> <https://github.com/nilshg/LearningModels/blob/master/Test_Interpolations.jl> 
> (I might have to update it to include GridInterpolations at some point).
>

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