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Re: Interpolationversus ListInterpolation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107123] Re: Interpolationversus ListInterpolation
  • From: Bill Rowe <readnews at sbcglobal.net>
  • Date: Wed, 3 Feb 2010 06:11:19 -0500 (EST)

On 2/2/10 at 3:30 AM, markus.roellig at googlemail.com (M.Roellig)
wrote:

>can somebody explain to me the difference between ListInterpolation
>and Interpolation? According to the documentation both are doing the
>same, have both the same options. Probably they coexist for
>historical reasons, but I can't figure out why I would need both.

For ListInterpolation, you supply either a list of function
values or an array of function values. Values of independent
variables are assigned as either the integer value of the
position of the function values you supplied or a linear mapping
of these integer values to a range you specify. In all cases,
ListInterpolation assumes the array of function values you
supply are uniformly sampled.

For Interpolation, you can supply both the value of the
independent variables and the function values. This permits
interpolation of non-uniformly sampled data, something not
possible with ListInterpolation.



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