Interpolation by natural cubic spline.
Kumar, Arun, Govil, L.K. (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Kumar, Arun, Govil, L.K. (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Martin Marsden (1979)
Banach Center Publications
Similarity:
H.P. Dikshit, P. Powar (1982)
Numerische Mathematik
Similarity:
Micula, G. (2003)
Rendiconti del Seminario Matematico
Similarity:
J. Domsta (1976)
Studia Mathematica
Similarity:
Jiří Kobza (2002)
Applications of Mathematics
Similarity:
Natural cubic interpolatory splines are known to have a minimal -norm of its second derivative on the (or class of interpolants. We consider cubic splines which minimize some other norms (or functionals) on the class of interpolatory cubic splines only. The cases of classical cubic splines with defect one (interpolation of function values) and of Hermite splines (interpolation of function values and first derivatives) with spline knots different from the points of interpolation...
Isaac J. Schoenberg (1967-1968)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Similarity:
Jiří Kobza, Dušan Zápalka (1991)
Applications of Mathematics
Similarity:
For quadratic spine interpolating local integrals (mean-values) on a given mesh the conditions of existence and uniqueness, construction under various boundary conditions and other properties are studied. The extremal property of such's spline allows us to present an elementary construction and an algorithm for computing needed parameters of such quadratic spline smoothing given mean-values. Examples are given illustrating the results.