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faster Interpolation?

• To: mathgroup at smc.vnet.net
• Subject: [mg58857] faster Interpolation?
• From: Alessandro Strumia <astrumia at mail.df.unipi.it>
• Date: Thu, 21 Jul 2005 03:08:04 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

hello,

I need to compute a linear interpolation of a single-parameter function
defined on an equally-spaced grid, and I do not need its derivatives.

The ListInterpolation function of Mathematica can do this and much more,
but it is not fast enough for my purposes:
it takes almost 10^-3 Second on my computer,
and I need to compute the function in about 10^9 points.
The total running time would be about one month: too slow!

So I wonder if there is a faster alternative.


Thank you very much,
Alessandro Strumia