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Improved orders of approximation derived from interpolatory cubic splines
(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 ...
Numerical techniques for two-dimensional laplacian problems
(1975)
Two numerical methods, an integral equation method and a conformal transformation method, are described for the solution of harmonic boundary value problems. The methods are designed to deal with problems involving curved ...
Cubic spline interpolation of harmonic functions
(1974)
It is shown that for the two dimensional Laplace equation a univariate cubic spline approximation in either space direction together with a difference approximation in the other leads to the well-known nine-point ...