The method proposed recently by Lucas [13], for the a posteriori correction of odd degree interpolating periodic splines is extended to non-periodic cubic and quintic splines

Papamichael, N

Soares, M J

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Brunel University Research Archive

A posteriori improvements for interpolating periodic splines&quot;

Asymptotic expansions for interpolating periodic splines&quot;.

End conditions for improved cubic spline derivative approximations&quot;.

End conditions for interpolatory quintic splines .

Error bounds for interpolating cubic splines under various end conditions&quot;.

Extrapolated collocation for two-point boundary-value problems using cubic splines&quot;.

Improved orders of approximation derived from interpolatory cubic splines&quot;.

Linear dependence relations concerning equal interval Nth degree splines and their derivatives&quot;.

Superconvergence properties of quintic interpolatory splines&quot;.

The explicit inverses of two commonly occurring matrices&quot;.

The numerical calculation of odd-degree polynomial splines with equi-spaced knots&quot;.

The orders of approximation of the first derivative of cubic splines at the knots&quot;.

The use of cubic splines in the solution of certain fourth order boundary value problems&quot;.

Using cubic splines to approximate functions of one variable to prescribed accuracy&quot;.

A posteriori corrections for cubic and quintic interpolating splines at equally-spaced knots

A posteriori corrections for cubic and quintic interpolating splines at equally-spaced knots

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Brunel University Research Archive