Approximate properties of two-dimensional splines of the third and fourth degree (Q1309052)
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scientific article; zbMATH DE number 468691
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate properties of two-dimensional splines of the third and fourth degree |
scientific article; zbMATH DE number 468691 |
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Approximate properties of two-dimensional splines of the third and fourth degree (English)
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3 February 1994
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The author has given the methods of local approximation by splines of degree \(k=3,4\) of smoothness 1 and 2 respectively, on a uniform triangular mesh which use a fixed number of values of the original function. Actually, he has proved that, for sufficiently smooth functions, the best order of uniform approximation by these splines on a bounded domain is \(h^ k\), \(k=3,4\) where \(h\) is the side of the triangle.
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triangular mesh
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0.9044253826141356
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