期刊
NUMERICAL ALGORITHMS
卷 86, 期 4, 页码 1769-1789出版社
SPRINGER
DOI: 10.1007/s11075-020-00953-2
关键词
Love integral equation; Nearly singular kernels; Nystrom method; Quadrature formula
资金
- research project Algorithms for Approximation with Applications [Acube], Fondazione di Sardegna - annualita 2017
- research project Algorithms and Models for Imaging Science (AMIS), FSC 2014-2020 - Patto per lo Sviluppo della Regione Sardegna
- INdAM-GNCS 2019 project Discretizzazione di misure, approssimazione di operatori integrali ed applicazioni
- Centro Universitario Cattolico (CUC)
This paper considers the generalized Love integral equation and proposes a Nystrom method based on a mixed quadrature rule for its approximation. The stability and convergence of the numerical procedure are discussed in suitable weighted spaces, with the efficiency of the method shown through numerical tests.
In this paper, the generalized Love integral equation has been considered. In order to approximate the solution, a Nystrom method based on a mixed quadrature rule has been proposed. Such a rule is a combination of a product and a dilation quadrature formula. The stability and convergence of the described numerical procedure have been discussed in suitable weighted spaces and the efficiency of the method is shown by some numerical tests.
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