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Re: [Help-gsl] monotone interpolation

From: Christian Krueger
Subject: Re: [Help-gsl] monotone interpolation
Date: Thu, 08 Mar 2012 15:45:37 +0000
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I did (a) on the weekend as well, could call it a weekend. But I will have a look at (b) soon.

Right now, I am trying to find out what actually might be useful for GSL and what I have to pay attention to.


On 03/08/2012 03:39 PM, Rhys Ulerich wrote:
For the actual problem, *monotone spline interpolation*, there are three
different solutions known to me:

(a) M.Steffen, "A simple method for monotonic interpolation in one
dimension", Astron. Astrophys. 239, 443-450 (1990).

(b) H.T.Huynh, "Accurate Monotone Cubic Interpolation", SIAM J. Numer. Anal.
30, 57-100 (1993).

(c) Fritsch, F. N.; Carlson, R. E., "Monotone Piecewise Cubic
Interpolation", SIAM J. Numer. Anal. 17 (2), 238–246 (1980).

If you had to pick one of (a) or (b) to try first, I'd try (b).  If
it's satisfactory, call it a day.

- Rhys

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