Local behaviour of the derivative of a mid point cubic spline interpolator.
Dikshit, H.P., Rana, S.S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Dikshit, H.P., Rana, S.S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Howell, Gary W. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Usmani, Riaz A. (1980)
International Journal of Mathematics and Mathematical Sciences
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Jochen Schmidt (1994)
Banach Center Publications
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Jiří Kobza (1994)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Jiří Kobza (1987)
Aplikace matematiky
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The paper deals with the computation of suitably chosen parameters of a biparabolic spline (ot the tensor product type) on a rectangular domain. Some possibilities of choosing such local parameters (concentrated, dispersed parameters) are discussed. The algorithms for computation of dispersed parameters (using the first derivative representation) and concentraced parameters (using the second derivative representation) are given. Both these algorithms repeatedly use the one-dimensional...
Yuriy Volkov (2012)
Open Mathematics
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We study the problem of interpolation by a complete spline of 2n − 1 degree given in B-spline representation. Explicit formulas for the first nand the last ncoefficients of B-spline decomposition are found. It is shown that other B-spline coefficients can be computed as a solution of a banded system of an equitype linear equations.