Re: smooth/spline derivatives of a list function
- To: mathgroup at smc.vnet.net
- Subject: [mg41948] Re: smooth/spline derivatives of a list function
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Wed, 11 Jun 2003 03:49:42 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
>Several scattered points (x,y) are given on a list. How to get >smoothed/splined numerical values of Integral [y^2 dx], slope dy/dx, >second derivative d2y/dx2 , and third derivative d3y/dx3 to better >(smaller) uniform x- increments ?. > >Also, how to obtain these as functions of uniformly incremented arc length ?. Please see http://physics.uwa.edu.au/pub/Mathematica/MathGroup/InterpolationExamples.nb for some examples of how to do this using the built-in Interpolation function. Cheers, Paul