Numerical integration of 2-D integrals based on local bivariate \(C^1\) quasi-interpolating splines (Q1381385)
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scientific article; zbMATH DE number 1129536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical integration of 2-D integrals based on local bivariate \(C^1\) quasi-interpolating splines |
scientific article; zbMATH DE number 1129536 |
Statements
Numerical integration of 2-D integrals based on local bivariate \(C^1\) quasi-interpolating splines (English)
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24 August 1998
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The authors study cubature formulas based on bivariate \(C^1\) local polynomial splines with a four directional mesh. The method proposed is applied to the numerical evaluation of two-dimensional singular integrals. Some numerical results, convergence properties and error bounds are given.
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numerical examples
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cubature formulas
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splines
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two-dimensional singular integrals
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convergence
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error bounds
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0.9285932
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0.9252048
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0.9169347
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0.91014284
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0.9078111
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0.90614504
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0.8915316
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