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Bivariate quasi-interpolating splines with applications in numerical integration

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Abstract

Numerical methods for the evaluation of 2D integrals, based on bivariate quasi-interpolating splines, with a four directional mesh, are presented and convergence results are derived. Moreover an application to 2D singular integrals, defined in the Hadamard finite part sense, is proposed and studied.

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Authors and Affiliations

  1. Dipartimento di Matematica dell’Università di Torino, Via C. Alberto, 10, 10123, Torino, Italy

    Catterina Dagnino

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  1. Catterina Dagnino
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Correspondence to Catterina Dagnino.

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Conferenza tenuta il giorno 11 Maggio 1998

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Dagnino, C. Bivariate quasi-interpolating splines with applications in numerical integration. Seminario Mat. e. Fis. di Milano 68, 231–241 (1998). https://doi.org/10.1007/BF02925838

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