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A cubic spline method for the solution of a linear fourth-order two-point boundary value problem
(1981)
A cubic spline method is described for the numerical solution of a two-point boundary value problem, involving a fourth order linear differential equation. This spline method is shown to be closely related to a known fourth ...
End conditions for improved cubic spline derivative approximations
(1981)
We consider the problem of deriving accurate end conditions for cubic spline interpolation at equally spaced knots. In particular we derive a number of end conditions which lead to derivative approximations of high accuracy. ...
A Class of C2Piecewise Quintic Polynomials
(1980)
A new class of C2piecewise quintic interpolatory polynomials is defined. It is shown that this new class contains a number of interpolatory functions which present practical advantages, when compared with the conventional ...