Efficient algorithms for polynomial interpolation and numerical differentiation
Efficient algorithms for polynomial interpolation and numerical differentiation
Algorithms based on Newton’s interpolation formula are given for: simple polynomial interpolation, polynomial interpolation with derivatives supplied at some of the data points, interpolation with piecewise polynomials having a continuous first derivative, and numerical differentiation. These algorithms have all the advantages of the corresponding algorithms based on Aitken-Neville interpolation, and …