Accession Number:

AD0779417

Title:

Local Support Bases for a Class of Spline Functions.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1974-04-01

Pagination or Media Count:

23.0

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 Greens 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE