Local Support Bases for a Class of Spline Functions.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics