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http://bura.brunel.ac.uk/handle/2438/1924| 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. |
| URI: | http://bura.brunel.ac.uk/handle/2438/1924 |
| Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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