Abstract: The importance of singular integral transforms, coming from their many applications, justifies some interest in their numerical approximation. Here we propose a stable and convergent algorithm to evaluate such transforms on the real line. Numerical examples confirming the theoretical results are given.
Convergence and stability of a new quadrature rule for evaluating Hilbert transform / M. R., Capobianco; Criscuolo, Giuliana. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - 60:4(2012), pp. 579-592. [10.1007/s11075-012-9584-8]
Convergence and stability of a new quadrature rule for evaluating Hilbert transform
CRISCUOLO, GIULIANA
2012
Abstract
Abstract: The importance of singular integral transforms, coming from their many applications, justifies some interest in their numerical approximation. Here we propose a stable and convergent algorithm to evaluate such transforms on the real line. Numerical examples confirming the theoretical results are given.File in questo prodotto:
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