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|Title:||Cubic spline interpolation of harmonic functions|
Whiteman, J R
|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|
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