Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives
- 1 June 1971
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 7 (3) , 398-406
- https://doi.org/10.1093/imamat/7.3.398
Abstract
The linear dependence of the values of Nth degree spline and its pth derivatives at N successive equally spaced knots is shown and the constants associated with this linear dependence calculated. A recurrence relation which enables the constants to be found for any N is also given. The results are applied to equal interval interpolation.Keywords
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