After all, linear interpolation merely draws a straight line between any two data points and takes a proportion based on our x. Clearly, if you must generate or approximate functions-say sinusoids for ...

Polynomial interpolation to analytic functions can be very accurate, depending on the distribution of the interpolation nodes. However, in equispaced nodes and the like, besides being badly ...

On this basis, we conclude that the Lagrange interpolation is unstable, whereas several types of piecewise low order polynomial interpolation are stable. For high order approximation with data on ...