ABSTRACT
In the previous chapter the first illustrative problem was to derive a way of
interpolating values between a number of discrete points: specific head and
discharge readings from an orifice plate flow measurement device. Using the
methods covered so far there is a range of options for this, some of which are:
1. linearly interpolate between each pair of points, leading to four equations to
cover the range of values;
2. fit a quadratic between the first three points and a second over the last three
points (using the middle point twice, once for each curve);
3. fit a cubic over the first four points and then a linear interpolation over the
other interval;
4. fit a fourth-order polynomial over the five points.
