Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions (Q747640)
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scientific article; zbMATH DE number 6495655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions |
scientific article; zbMATH DE number 6495655 |
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Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions (English)
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19 October 2015
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Using the celebrated Powell-Sabin Split, quasi-interpolants with two-dimensional polynomial splines are generated and analysed. Specifically, cubic, continuously differentiable splines are used to construct superconvergent cubic spline quasi-interpolants. The results are to be contrasted with the already known quadratic spline quasi-interpolants with lower convergence orders, partially also on Powell-Sabin Splits. Several numerical examples are offered too.
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polar forms
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quasi-interpolation
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splines
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Powell-Sabin partitions
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