Re: Finding derivatives of a list?
- To: mathgroup at smc.vnet.net
- Subject: [mg40828] Re: Finding derivatives of a list?
- From: Erich Mueller <emueller at mps.ohio-state.edu>
- Date: Sat, 19 Apr 2003 23:04:00 -0400 (EDT)
- Organization: Ohio State University
- References: <b7qp61$3jq$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
There is no unique answer to this problem. One simple
approach is to run an interpolation function through your data and take
its second derivative:
findsecder[dat_] :=
Module[{interp = Interpolation[dat]}, interp'' /@ dat[[All, 1]]]
Here dat is a list of pairs such as {{0,0},{1,1},{2,4},{3,9}}. You may
want to try various InterpolationOrders
Erich
On Sat, 19 Apr 2003, AES/newspost wrote:
> Specific problem is how to generate a list of values of the second
> derivative of a relatively smooth function at a set of equally spaced
> points, when the function itself is known only as a list of numerical
> values at those same points?
>
> --
> "Power tends to corrupt. Absolute power corrupts absolutely."
> Lord Acton (1834-1902)
> "Dependence on advertising tends to corrupt. Total dependence on
> advertising corrupts totally." (today's equivalent)
>
>