Cubic spline interpolation of harmonic functions
Date
1974Author
Papamichael, NicolasWhiteman, J. R.
Source
BITVolume
14Issue
4Pages
452-459Google Scholar check
Keyword(s):
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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. © 1974 BIT Foundations.