I'm working on a problem, but I don't really understand how to solve it.(adsbygoogle = window.adsbygoogle || []).push({});

I'm given a number of (xi,yi) co-ordinates, and need to find the cubic spline with periodic boundary conditions that interpolate them, s(x). Then I need to find the value of s(t) where t is a specific value x0<t<xn, and also all the values of s"(xi).

(I'm intentionally leaving off the specific values, i want to know how to solve the problem, but not be given the solution for the problem)

What I'm having a problem with is that neither my textbook (Elementary Numerical Analysis 3ed, Atkinson), does not really go over periodic boundaries, nor can I find any sort of algorithm for solving a spline function by hand online. I need a step-by-step approach.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Periodic cubic splines

Can you offer guidance or do you also need help?

**Physics Forums | Science Articles, Homework Help, Discussion**