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MathGroup Archive 2008

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Questions about ListInterpolation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg91723] Questions about ListInterpolation
  • From: pratip <pratip.official at gmail.com>
  • Date: Sat, 6 Sep 2008 02:09:19 -0400 (EDT)

Dear All,
If I have a data like 
data={{x_1i,...,x_ni,f[x_1i,...,x_ni]}} where n stands for number of data points hence suppose that n varies between 1 to some integer k.
Now I want to have a interpolating function
Intf[x_1,...,x_n] from this data to approximate the function f[x_1,...,x_n].
other than the data we also have the knowledge that
m_1<=x_1<=M_1,.....,m_n<=x_n<=M_n
where {m_i} and {M_j} are some n-tuples of real numbers each denoting the boundary of the grid where the data is given. We must remember that the grid points {x_1i,...,x_ni} may not be uniformly spaced in general.

Will some body tell me how to handle this type of data.


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