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Numerical integration of 2‐D integrals based on local bivariate C 1 quasi‐interpolating splines

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Abstract

In this paper cubature formulas based on bivariate C 1 local polynomial splines with a four directional mesh [4] are generated and studied. Some numerical results with comparison with other methods are given. Moreover the method proposed is applied to the numerical evaluation of 2‐D singular integrals defined in the Hadamard finite part sense. Computational features, convergence properties and error bounds are proved.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Torino, Via C. Alberto, 10, I‐10123, Torino, Italy

    C. Dagnino & P. Lamberti

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  1. C. Dagnino
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  2. P. Lamberti
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Dagnino, C., Lamberti, P. Numerical integration of 2‐D integrals based on local bivariate C 1 quasi‐interpolating splines. Advances in Computational Mathematics 8, 19–31 (1998). https://doi.org/10.1023/A:1018927809928

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