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Re: [Help-gsl] monotone interpolation


From: Rhys Ulerich
Subject: Re: [Help-gsl] monotone interpolation
Date: Thu, 8 Mar 2012 09:39:00 -0600

> 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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