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|Title: ||Cubic spline interpolation of harmonic functions|
|Authors: ||Papamichael, N|
Whiteman, J R
|Publication 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:||Mathematical Science|
Dept of Mathematics Research Papers
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