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Algorithm 507: Procedures for Quintic Natural Spline Interpolation [E1]
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 2 ,  Issue 3  (September 1976) table of contents
Pages: 281 - 289  
Year of Publication: 1976
ISSN:0098-3500
Authors
John G. Herriot  Department of Computer Science, Stanford University, Stanford, CA
Christian H. Reinsch  Leibniz-Rechenzentrum der Bayerischen Akademie der Wissenschaften, 8 Munehen 2, Germany
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 9,   Downloads (12 Months): 66,   Citation Count: 1
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APPENDICES and SUPPLEMENTS
gZipQUINAT (507.gz) (3 KB)
interpolating quintic natural spline
Gams: E1a


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
ANSELONE, P.M., AND LAURENT, P.J. A general method for the construction of interpolating and smoothing spline functions Numer. Math 1~ (1968), 66-82.
 
2
CURRY, H.B., AND SCHOENBERG, I.J. On PSlya frequency functions. IV. The fundamental spline functions and their limits. J. Anal. Math 17 (1966), 71-107.
 
3
GREVILLE, T.N.E. Introduction to spline functions. In Theory and Applications of Spline Functwns, T.N.E. Greville, Ed. Academic Press, New York, 1969, pp. 1-35.
 
4
GREWLLE, T.N.E. Spline functions, interpolation and numerical quadrature. In Mathematical Methods for Digital Computers, vol.//, A. Ralston and H.S. Wilf, Eds. Wiley, New York, 1967.
 
5
HERRIOT, J.G., AND REINSCH, C.H. Algol 60 procedures for the calculation of interpolating natural quintic spline functions. Tech. Rep. STAN-CS-74-402, Dep. Computer Science, Stanford Univ, Stanford, Calif., 1974.
6
John G. Herriot , Christian H. Reinsch, Algorithm 472: procedures for natural spline interpolation [E1], Communications of the ACM, v.16 n.12, p.763-768, Dec. 1973  [doi>10.1145/362552.362558]
 
7
SCHOENBERG, I.J. On interpolation by spline functions and its minimal properties. In On Approx,mation Theory. Proceedings of the Conference at Oberwolfach, 1963, P.L. Butzer and J. Korevaar, Eds Birkhafiser Verlag, Basel, Switzerland, 1964, pp 109-129.
 
8
SP_kT~, H. Algorithm 42, Interpolation by certain quintic splmes. Comp~ter J. 12 (1969), 292-293.

CITED BY
John G. Herriot , Christian H. Reinsch, Algorithm 600: translation of algorithm 507. procedures for quintic natural spline interpolation, ACM Transactions on Mathematical Software (TOMS), v.9 n.2, p.258-259, June 1983

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.1 Interpolation
          Subjects: Spline and piecewise polynomial interpolation
      G.1.2 Approximation
          Subjects: Spline and piecewise polynomial approximation


General Terms:
Algorithms, Theory

Collaborative Colleagues:
John G. Herriot: colleagues
Christian H. Reinsch: colleagues

Peer to Peer - Readers of this Article have also read:

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