Approximation by Cubic C1-Splines on Arbitrary Triangulations.
R.H.J. Gmelig Meyling (1987)
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R.H.J. Gmelig Meyling (1987)
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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...
F. Utreras Diaz (1980)
Numerische Mathematik
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