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Hi,<br><br>Yes.<br>Cubic spline interpolation means piecewise interpolation with third order polynomials.<br>The terms says nothing about which derivatives are continuous.<br><br>Cubic spline interpolation is often used to interpolate between points where only<br>the function value itself is provided and in that case one usually chooses to match<br>the second derivative at the reference points. But that is just one of the many uses<br>of cubic spline interpolation.<br><br>Berk<br><br>> Date: Sun, 19 Sep 2010 01:32:44 -0700<br>> From: floris_buelens@yahoo.com<br>> To: gmx-users@gromacs.org<br>> Subject: [gmx-users] cubic spline and continuous derivatives<br>> <br>> Hello,<br>> <br>> The gromacs manual states that for cubic spline interpolation of potential <br>> energy and forces, "V and V’ are continuous, while V” is the first discontinuous <br>> derivative." This makes sense to me as there is a unique solution for parameters <br>> A2 and A3 if V and V' to the left and right are given for each piecewise <br>> polynomial.<br>> However the definition of a cubic spline seems to be for a set of functions <br>> continous up to the second derivative. Is the cubic spline formulation used <br>> somehow unorthodox in this sense? I'm using a similar scheme in a slightly <br>> different context, is it strictly correct to refer to it as cubic spline <br>> interpolation?<br>> Thanks,<br>> <br>> Floris<br>> <br>> <br>> <br>> -- <br>> gmx-users mailing list gmx-users@gromacs.org<br>> http://lists.gromacs.org/mailman/listinfo/gmx-users<br>> Please search the archive at http://www.gromacs.org/Support/Mailing_Lists/Search before posting!<br>> Please don't post (un)subscribe requests to the list. Use the <br>> www interface or send it to gmx-users-request@gromacs.org.<br>> Can't post? Read http://www.gromacs.org/Support/Mailing_Lists<br> </body>
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