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.