Local Support Bases for a Class of Spline Functions.
Abstract
Bases for a class of splines consisting piecewise of elements in the null space of a linear differential operator L with the component pieces tied smoothly together at the knots by requiring the continuity of certain Extended-Hermite-Birkhoff linear functions are obtained. In particular, first certain one-sided splines are constructed as linear combinations of an appropriate Green's function, and then local support splines are constructed as linear combinations of the one-sided splines. Finally, local support bases for a finite-dimensional space of splines are obtained. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1974
- Accession Number
- AD0779417
Entities
People
- J. W. Jerome
- L. L. Schumaker
Organizations
- University of Wisconsin–Madison