Monotone interpolation of order 3 by C2 cubic splines

IMA Journal of Numerical Analysis

Volumn 17, Issue 2, 1997, Pages 305-320

  Manni, Carla ^a   Sablonnière, Paul ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b INSA DE RENNES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CUBIC SPLINE;

INTERPOLATION;

EID: 0031485550     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/17.2.305     Document Type: Article

References (10)

1. 2-interpolants. Numer. Math. 64, 1-11.
2. BEATSON, R. K., & WOLKOWICZ, H. 1989 Post-processing piecewise cubics for monotonicity. SIAM J. Numer. Anal. 26, 480-502.
3. CARLSON, R. E., & FRITSCH, F. N. 1980 Monotone piecewise cubic interpolation. SIAM J. Numer. Anal. 17, 238-246.
4. COSTANTINI, P. 1988 An algorithm for computing shape-preserving interpolating splines of arbitrary degree. J. Comput. Appl. Math. 22, 89-136.
5. EDELMAN, A., & MICCHELLI, C. A. 1987 Admissible slopes for monotone and convex interpolation. Numer. Math. 51, 441-458.
6. EISENSTAT, S. C., JACKSON, K. R., & LEWIS, J. W. 1985 The order of monotone piecewise cubic interpolation. SIAM J. Numer. Anal. 22, 1220-1237.
7. FARIN, G. 1988 Curves and Surfaces for Computer Aided Geometric Design. San Diego: Academic.
8. FRITSCH, F. N., & BUTLAND, J. 1984 A method for constructing local monotone piecewise cubic interpolants. SIAM J. Sci. Stat. Comput. 5, 300-304.
9. HUYNH, H. T. 1993 Accurate monotone cubic interpolation. SIAM J. Numer. Anal. 30, 57-101.
10. 2 cubic spline interpolantion. IMA J. Numer. Anal. 13, 493-507.