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Dierckx, P.

An algorithm for smoothing, differentiation and integration of experimental data using spline functions. (English) Zbl 0311.65009

J. Comput. Appl. Math. 1, 165-184 (1975).
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Cited in 6 Documents

MSC:

65D10 Numerical smoothing, curve fitting
41A15 Spline approximation
65D25 Numerical differentiation
41A55 Approximate quadratures
65D30 Numerical integration
65D05 Numerical interpolation
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\textit{P. Dierckx}, J. Comput. Appl. Math. 1, 165--184 (1975; Zbl 0311.65009)
Full Text: DOI

References:

[1] Cox, M. G., A data-fitting package for the non-specialist user, (Report NAC 40 (July 1973), National Physical Laboratory: National Physical Laboratory Teddington, Middlesex)
[2] de Boor, C., On calculating with B-splines, J. Approximation Theory, 6, 50-62 (1972) · Zbl 0239.41006
[3] Greville, T. N.E., (Greville, T. N.E., Introduction to spline functions, theory and applications of spline functions (1969), Academic Press: Academic Press New York), 1-35 · Zbl 0215.17601
[4] Lyche, T.; Schumaker, L., Computation of smoothing and interpolating natural splines via local bases, SIAM J. of analysis, 10, 1027-1038 (1973) · Zbl 0239.65015
[5] Lyche, T.; Schumaker, L., Procedures for computing smoothing and interpolating natural splines, Communications of the A.C.M., 17, 463-467 (1974)
[6] Martin, R. S.; Wilkinson, J. H., Symmetric decomposition of positive definite bandmatrices, Num. Math., 7, 355-361 (1965) · Zbl 0137.32806
[7] Powell, M. J.D., (Hayes, J. G., Curve fitting by splines in one variable, numerical approximation to functions and data (1970), The Athlone Press), 65-83 · Zbl 0212.17301
[8] Reinsch, C. H., Smoothing by spline functions, Num. Math., 10, 177-183 (1967) · Zbl 0161.36203
[9] Reinsch, C. H., Smoothing by spline functions II, Num. Math., 16, 451-454 (1971) · Zbl 1248.65020
[10] Woodford, Ch., An algorithm for data smoothing using spline functions, BIT, 10, 501-510 (1971) · Zbl 0214.41402
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