Re: Interpolation of function
- To: mathgroup at smc.vnet.net
- Subject: [mg59216] Re: Interpolation of function
- From: rknapp at wolfram.com
- Date: Tue, 2 Aug 2005 00:42:35 -0400 (EDT)
- References: <dchme4$77j$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Mukhtar Bekkali wrote: > My notebook is located here > > http://www.public.iastate.edu/~mbekkali/Research/Untitled-1.nb > > My problem is that the interpolating function looks nothing like the > true function for some specific parameter values (u,r,lambda). I > changed the number of points at which the evaluation is performed but > it did not help. > > My original problem is that I would like to find a crude approximation > to the original function for some parameters (u,r,lambda), where > u>1,r>1 and 0<lambda<u/(1+u). If it is not possible to do it for > general parameters then some grid with different variables' values is > fine too. When you do not include the coordinates in the data given to InterpolatingPolynomial, the function assumes the coordinates are 1, 2, .... The easy way to get what you want is to include the values of delta: Subscript[T, \[Mu]] = Table[{\[Delta], \[Mu]}, {\[Delta], 0, 0.5, 0.05}]; Another recommendation is to *not* simplify the output of InterpolatingPolynomial. The unsimplified output is given in a form that provides the most accurate numerical values. Rob Knapp Wolfram Research