Off-Knot Spline Interpolation and Constrained Approximation: Some Negative Results,
Abstract
Quadratic splines are generated which interpolate a function and its derivative at points midway between alternate pairs of knots, and the error bound is shown to be precisely of order (h sup 2) rather than (h sup 3) as expected. This result is related to best constrained approximation by splines and thence to Galerkin methods for constrained problems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1974
- Accession Number
- AD0786227
Entities
People
- James W. Daniel
Organizations
- University of Texas at Austin