Browsing by Author "Worsey, A. J."

Now showing items 1-4 of 4

    • Article  

      A Class of C2Piecewise Quintic Polynomials 

      Papamichael, Nicolas; Worsey, A. J. (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 ...
    • Article  

      A class of piecewise-cubic interpolatory polynomials 

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

      A cubic spline method for the solution of a linear fourth-order two-point boundary value problem 

      Papamichael, Nicolas; Worsey, A. J. (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 ...
    • Article  

      End conditions for improved cubic spline derivative approximations 

      Papamichael, Nicolas; Worsey, A. J. (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. ...