Accession Number : ADA114552

Title :   On a Conjecture of C. A. Micchelli Concerning Cubic Spline Interpolation at a Biinfinite Knot Sequence.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Jia,Rong-qing

PDF Url : ADA114552

Report Date : Feb 1982

Pagination or Media Count : 14

Abstract : Cubic spline interpolation provides a good and handy method to approximate a given function or to fit a given set of points. However, such an interpolation process does not always converge. It is known that the local mesh ratio (that of the lengths of two consecutive intervals) is less than 3 + sq. root/2, the interpolation process works for any given bounded data. This paper continues such investigation. It is shown that the above restriction on the knots may be relaxed. Thus, for a wider class of knot sequences, the cubic spline interpolation can be still applied. Hopefully, this would make such interpolation process more feasible in practice. (Author)

Descriptors :   *Splines(Geometry), *Interpolation, *Finite element analysis, Sequences, Cubic spline technique, Boundaries, Ratios, Square roots

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE