Background:
The motivation behind the experiment is to understand spline interpolation and numerical integration by finding the volume of water that can be held by a champagne glass.
What does the student do in the lab:
The student chooses one of the odd-shaped champagne glasses (Figure 1). The student measures the outer radius of the champagne glass [...]
Posts Tagged as ‘spline interpolation’
July 11, 2008
Experiment for spline interpolation and integration
June 29, 2008
Length of a curve experiment
In a previous post, I mentioned that I have incorporated experiments in my Numerical Methods course. Here I will discuss the second experiment.
In this experiment, we find the length of two curves generated from the same points – one curve is a polynomial interpolant and another one is a spline interpolant.
Motivation behind the experiment: [...]
June 14, 2008
High order interpolation is a bad idea?
One would intuitively assume that if one was given 100 data points of data, it would be most accurate to interpolate the 100 data points to a 99th order polynomial. More the merrier: is that not the motto. But I am sorry to burst your bubble – high order interpolation is generally a [...]
