Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives

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...

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Veröffentlicht in:IMA journal of applied mathematics 1971-06, Vol.7 (3), p.398-406
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container_title IMA journal of applied mathematics
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description 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.
doi_str_mv 10.1093/imamat/7.3.398
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title Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives
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