MathGroup Archive 2011

[Date Index] [Thread Index] [Author Index]

Search the Archive

Interpolation with known derivative values

  • To: mathgroup at
  • Subject: [mg119721] Interpolation with known derivative values
  • From: Mauro <msmscarlatti at>
  • Date: Sat, 18 Jun 2011 19:56:58 -0400 (EDT)

I need to interpolate the value of a function, given its exact values
and first derivatives at a set of points. I know how to do this with
Mathematica for polynomial interpolation - for example:

InterpolatingPolynomial[{{-0.212, 0.00234, 0.10912}, {-0.013, 0.0062,
0.48837}}, -0.05]

where -0.0212 is the coordinate of the first point, 0.00234 is the
value of the function there, and 0.10912 is the value of the first
derivative there, and -0.05 is the coordinate of the point at which I
am interpolating.

My question is: how do I use the Mathematica "Interpolation" function
for this same set of values?

I have tried

Interpolation[{{-0.212, 0.00234, 0.10912}, {-0.013, 0.0062, 0.48837}},
-0.05, Method -> "Spline"]

but I get the error "Interpolation::indim: The coordinates do not lie
on a structured tensor product grid."


  • Prev by Date: Re: How to Do a Replacement with Two Conditions
  • Next by Date: Re: capacitor equation solution not working
  • Previous by thread: Re: Only real solutions for a=a^0.7*b
  • Next by thread: Why doesn't TrueQ return True here?