Numerical evaluation of certain hypersingular integrals using refinable operators

L. Gori, E. Pellegrino and E. Santi

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 82, issue 1, 132-143

Abstract: This paper concerns the construction of quadrature rules based on the use of suitable refinable quasi-interpolatory operators, for the numerical evaluation of Hadamard finite-part integrals. Convergence analysis of the obtained rules is developed and numerical examples are included.

Keywords: Hypersingular integrals; Refinable functions; Quasi-interpolatory operators (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2011:i:1:p:132-143

DOI: 10.1016/j.matcom.2010.07.006

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