Interpolation by natural cubic spline.
Kumar, Arun, Govil, L.K. (1992)
International Journal of Mathematics and Mathematical Sciences
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Kumar, Arun, Govil, L.K. (1992)
International Journal of Mathematics and Mathematical Sciences
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Martin Marsden (1979)
Banach Center Publications
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H.P. Dikshit, P. Powar (1982)
Numerische Mathematik
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Segeth, Karel
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There are two grounds the spline theory stems from - the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We use the general variational approach called smooth interpolation introduced by Talmi and Gilat and show that it covers not only the cubic spline and its 2D and 3D analogues but also the well known...
Micula, G. (2003)
Rendiconti del Seminario Matematico
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J. Domsta (1976)
Studia Mathematica
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Jiří Kobza (2002)
Applications of Mathematics
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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
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