On quadrature for Cauchy principal value integrals of oscillatory functions (Articolo in rivista)

Type
Label
  • On quadrature for Cauchy principal value integrals of oscillatory functions (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/S0377-0427(03)00388-1 (literal)
Alternative label
  • Capobianco M.R., Criscuolo G. (2003)
    On quadrature for Cauchy principal value integrals of oscillatory functions
    in Journal of computational and applied mathematics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Capobianco M.R., Criscuolo G. (literal)
Pagina inizio
  • 471 (literal)
Pagina fine
  • 486 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.scopus.com/record/display.url?eid=2-s2.0-0042843296&origin=inward (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 156 (literal)
Rivista
Note
  • Google Scholar (literal)
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
  • Mathematical Reviews on the web (MathSciNet) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Maria Rosaria Capobianco, Istituto per le Applicazioni del Calcolo \"Mauro Picone\", CNR Giuliana Criscuolo, Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli \"Federico II\" (literal)
Titolo
  • On quadrature for Cauchy principal value integrals of oscillatory functions (literal)
Abstract
  • The authors develop an algorithm for the numerical evaluation of Cauchy principal value integrals of oscillatory functions. The method is based on an interpolatory procedure at the zeros of the orthogonal polynomials with respect to a Jacobi weight. A numerically stable procedure is obtained and the corresponding algorithm can be implemented in a fast way yielding satisfactory numerical results. Bounds of the error and of the amplification factor are also proved. (literal)
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