Note on local methods of univariate interpolation

Abstract

Five local methods or algorithms of univariate interpolation are mutually compared both numerically and graphically. They are Ackland's osculatory method (J. Inst. Actuar. 49, 369-375, 1915), Algorithm 433 (Commun. ACM 15, 914-918, 1972), Maude's method (Computer J. 16, 64-65, 1973), Algorithm 514 (ACM TOMS 3, 175-178, 1977), and Algorithm 697 (ACM TOMS 17, 367, 1991). The comparison results indicate that Algorithm 697 is the best among these five methods.