Re: Mathematica "Interpolation" function
- To: mathgroup at smc.vnet.net
- Subject: [mg72015] Re: Mathematica "Interpolation" function
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Fri, 8 Dec 2006 06:18:05 -0500 (EST)
- Organization: The University of Western Australia
- References: <ek98a7$jpi$1@smc.vnet.net>
In article <ek98a7$jpi$1 at smc.vnet.net>, Lorents <lorenzo at amp.fi> wrote:
> I'm trying to understand how mathematica produces interpolations in 1D
> with the "Interpolation" command. I understood it uses piecewise
> polynomial of the degree specified by InterpolationOrder.
> As far as I understand this method never produces truly smooth functions
> as nothing is done to elimitate the jump discontinuities in the
> derivatives of the joined polynomials.
Yes -- but note that if you know any derivatives you can pass them to
Interpolation. From the online help:
Data can be given in the form {{x1, {f1, df1, ddf1, ...}, ...} to
specify derivatives as well as values of the function at the points xi.
You can specify different numbers of derivatives at different points.
Cheers,
Paul
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