Table for third-degree spline interpolation with equally spaced arguments
Abstract: A table is given to facilitate the calculation of the parameters of the interpolating third-degree natural spline function for given data points with equally spaced abscissas. The use of the table is described and the correctness of the algorithm is demonstrated.
-  I. J. Schoenberg, On spline functions, Inequalities (Proc. Sympos. Wright-Patterson Air Force Base, Ohio, 1965), Academic Press, New York, 1967, pp. 255–291. MR 0223801
-  K. A. Innanen, "An example of precise interpolation with a spline function," J. Computational Phys., v. 1, 1967, pp. 303-304.
- T. N. E. Greville, "Spline functions, interpolation, and numerical quadrature," in Mathematical Methods for Digital Computers, Vol. 2, A. Ralston and H. S. Wilf (Editors), Wiley, New York, 1967, Chapter 8. MR 35 #2516. MR 0223801 (36:6848)
- K. A. Innanen, "An example of precise interpolation with a spline function," J. Computational Phys., v. 1, 1967, pp. 303-304.
Retrieve articles in Mathematics of Computation with MSC: 65.20
Retrieve articles in all journals with MSC: 65.20
Keywords: Natural cubic spline interpolation, smoothest interpolating function, generating functions
Article copyright: © Copyright 1970 American Mathematical Society