Browsing by Author "Behforooz, G. H."
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Article
A class of piecewisecubic interpolatory polynomials
Behforooz, G. H.; Papamichael, Nicolas; Worsey, A. J. (1980)A new class of C1 piecewisecubic interpolatory polynomials is defined, by generalizing the definition of cubic Xsplines given recently by Clenshaw & Negus (1978). It is shown that this new class contains a number of ...

Article
End conditions for cubic spline interpolation
Behforooz, G. H.; Papamichael, Nicolas (1979)A class of end conditions is derived for cubic spline interpolation at equally spaced knots. These conditions are in terms of function values at the knots and give rise to O(h4) spline approximations. © 1978, by Academic ...

Article
End conditions for interpolatory cubic splines with unequally spaced knots
Behforooz, G. H.; Papamichael, Nicolas (1980)A class of end conditions is derived for cubic spline interpolation at unequally spaced knots. These conditions are in terms of function values at the knots and lead to 0 (h4) convergence uniformly on the interval of ...

Article
End conditions for interpolatory quintic splines
Behforooz, G. H.; Papamichael, Nicolas (1981)Accurate end conditions are derived for quintic spline interpolation at equally spaced knots. These conditions are in terms of available function values at the knots and lead to O(h6) convergence uniformly on the interval ...

Article
Improved orders of approximation derived from interpolatory cubic splines
Behforooz, G. H.; Papamichael, Nicolas (1979)Let s be a cubic spline, with equally spaced knots on [a, b] interpolating a given function y at the knots. The parameters which determine s are used to construct a piecewise defined polynomial P of degree four. It is shown ...

Article
Overconvergence properties of quintic interpolatory splines
Behforooz, G. H.; Papamichael, Nicolas (1988)Let Q be a quintic spline with equispaced knots on [a, b] interpolating a given function y at the knots. The parameters which determine Q are used to construct a piecewise defined polynomial P of degree six. It is shown ...