Asymptotic Error Expansions for Spline Interpolation: Some Remarks,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1974
- Accession Number
- AD0786226
Entities
People
- James W. Daniel
Organizations
- University of Texas at Austin