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Title: Cubic spline interpolation of harmonic functions
Authors: Papamichael, N
Whiteman, J R
Issue Date: 1973
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). Oct 1973, pp 1-28
Abstract: 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 finite-difference formula. For harmonic problems defined in rectangular regions this property provides a means of determining with ease accurate approximations at any point in the region.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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