Convergence and Gibbs' phenomenon in cubic spline interpolation of discontinuous functions

Journal of Computational and Applied Mathematics

Volumn 87, Issue 2, 1997, Pages 359-371

  Zhang, Zhimin ^a   Martin, Clyde F ^a  

^a TEXAS TECH UNIVERSITY   (United States)

Author keywords

Convergence; Cubic spline; Gibbs' phenomenon; Interpolation; p Norms

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INTERPOLATION;

CUBIC SPLINE; GIBBS' PHENOMENON; HEAVISIDE STEP FUNCTION;

COMPUTATIONAL GEOMETRY;

EID: 0043227004     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00199-4     Document Type: Article

References (7)

1. J. Bergh, J. Löfström, Interpolation Spaces, Springer, Berlin, 1976.
2. C. de Boor, A Practical Guide to Splines, Springer, New York, 1978.
3. T.W. Körner, Fourier Analysis, Cambridge Univ. Press, Cambridge, 1988.
4. G. Nürnberger, Approximation by Spline Functions, Springer, Berlin, 1989.
5. F.B. Richards, A Gibbs phenomenon for spline functions, J. Approx. Theory 66 (1991) 344-351.
6. L.L. Schumaker, Spline Functions: Basic Theory, Wiley, New York, 1981.
7. J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, 2nd ed., Springer, New York, 1994.