An O(h6) method for the interpolation of harmonic functions in rectangular do- mains is described and analysed. The method is based on an earlier cubic spline tech- nique [7], and makes use of recent results concerning the a posteriori correction of interpolatory cubic splines

Papamichael, N

Soares, M J

English

Brunel University Research Archive

A Posteriori Corrections for Non-Periodic Cubic and Quintic Interpolating Splines at Equally Spaced Knots,

A Posteriori Improvements for Interpolating Periodic Splines,

Cubic Spline Interpolation of Harmonic Functions,

Extrapolated Collocation for Two-Point Boundary Value Problems Using Cubic Splines,

Finite-Difference Solution of Poisson's Equation in Rectangles of Arbitrary Shape,

Numerical Techniquesfor Two-Dimensional Laplacian Problems,

The Theory of Splines and Their Applications,

The Use of Conformal Transformations for the Numerical Solution of Elliptic Boundary Value Problems with Singularities,

An O(h6) cubic spline interpolating procedure for harmonic functions

An O(h6) cubic spline interpolating procedure for harmonic functions

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Brunel University Research Archive