Analysis of five-point grids: The diamond configuration. (Q1405069)
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scientific article; zbMATH DE number 1970647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of five-point grids: The diamond configuration. |
scientific article; zbMATH DE number 1970647 |
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Analysis of five-point grids: The diamond configuration. (English)
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25 August 2003
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The paper starts with the interpolation of five data from a nine-point stencil in 2-space by quadratic polynomials with 6 coefficients. From the formulas one can see that here a nonlinear interpolation is performed that obviously breaks down if the given function has a symmetry with respect to the center of the stencil. The coefficient of the polynomial term \(xy\) is called interaction coefficient. Nice numerical results for this and similar interpolation processes are presented.
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numerical differentiation
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interpolation
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diamond array
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rectangle array
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operational equations
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interaction coefficient
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