5: Interpolation
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- 5.00: Physical Problems for Interpolation
- Examples of engineering problems suitable for solving with interpolation.
- 5.01: Prerequisites to Interpolation
- Definition of interpolation of a set of given data. The uniqueness of interpolating polynomials.
- 5.02: Direct Method of Interpolation
- Finding interpolants through the direct method, and using the direct method interpolants to find derivatives and integrals of discrete functions.
- 5.05: Spline Method of Interpolation
- Methods of spline interpolation, including linear, quadratic, and cubic. How spline interpolation avoids some of the pitfalls of higher-order polynomial interpolation.
- 5.06: Extrapolation is a Bad Idea
- An example of why extrapolating from known data, using either polynomial or spline interpolation, is a bad idea.
- 5.10: Length of a Curve
- Estimating the length of curves from a continuous function and from interpolation of discrete points. Comparing the lengths of different paths through a set of points.