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
Capobianco MR;
2012
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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