Talk:Interpolation and Extrapolation

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This page is just a skelleton. I will add content as time permits. The main purpose of putting this up is to define what goes where in the track Numerical Algorithms.

Goals[edit]

After finishing this course, students should:

  • Know that discrete data can be approximated/interpolated by a polynomial.
  • Know different representations of the interpolating polynomial as well as how to compute them.
  • Know that functions can also be represented with different bases
  • Know what piecewise interpolation and splines are and know how to compute them.
  • Know how to efficiently extrapolate a point in the different representations.

Take-Home Message[edit]

  • Discrete data can be interpolated with a number of methods.
  • Different representations of the interpolated function fit different needs.