The authors propose two new algorithms for the computation of Cauchy principal value integrals on the real semiaxis. The proposed quadrature rules use zeros of Laguerre polynomials. Theoretical error estimates are proved and some numerical examples are showed. (C) 2002 Elsevier Science B.V. All rights reserved.
Approximation of the Hilbert Transform on the real semiaxis using Laguerre zeros / M. C., De Bonis; DELLA VECCHIA, Biancamaria; G., Mastroianni. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 140:1-2(2002), pp. 209-229. (Intervento presentato al convegno 9th International Congress on Computational and Applied Mathematics tenutosi a LEUVEN, BELGIUM nel JUL 17-21, 2000) [10.1016/s0377-0427(01)00529-5].
Approximation of the Hilbert Transform on the real semiaxis using Laguerre zeros
DELLA VECCHIA, Biancamaria;
2002
Abstract
The authors propose two new algorithms for the computation of Cauchy principal value integrals on the real semiaxis. The proposed quadrature rules use zeros of Laguerre polynomials. Theoretical error estimates are proved and some numerical examples are showed. (C) 2002 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
