Accession Number : AD0786226

Title :   Asymptotic Error Expansions for Spline Interpolation: Some Remarks,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Daniel,James W.

Report Date : AUG 1974

Pagination or Media Count : 20

Abstract : Asymptotic error expansions of the form (s sub h)(x) = f(x) + the summation from i=p to q (h sup i)(g sub i)(x) + O(h sup(q+1)) are derived for some particular schemes for determining splines s interpolating data of a given function f. Both local and global interpolation methods are considered; generally applicable, techniques are exemplified with cubic and quadratic splines for which the precise error expansions are developed. (Author)

Descriptors :   *Splines, *Interpolation, Asymptotic series, Polynomials, Computations, Theorems, Errors

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE