Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives
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 a...
Gespeichert in:
| Veröffentlicht in: | IMA journal of applied mathematics 1971-06, Vol.7 (3), p.398-406 |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | 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. |
|---|---|
| ISSN: | 0272-4960 1464-3634 |
| DOI: | 10.1093/imamat/7.3.398 |