Numerical evaluation of the SIE solution for some environmental problems (Rapporti tecnici/preprint/working paper)

Type
Label
  • Numerical evaluation of the SIE solution for some environmental problems (Rapporti tecnici/preprint/working paper) (literal)
Anno
  • 2001-01-01T00:00:00+01:00 (literal)
Alternative label
  • M. R. Capobianco, G. Criscuolo (2001)
    Numerical evaluation of the SIE solution for some environmental problems
    (literal)
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  • M. R. Capobianco, G. Criscuolo (literal)
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  • Rapporto Tecnico IAM-CNR n.229/01 (literal)
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  • Altro (literal)
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  • Maria Rosaria Capobianco, Istituto per le Applicazioni del Calcolo \"Mauro Picone\", CNR Giuliana Criscuolo, Dipartimento di Matematica e Applicazioni, Universit√† degli studi di Napoli \"Federico II\" (literal)
Titolo
  • Numerical evaluation of the SIE solution for some environmental problems (literal)
Abstract
  • The mathematical model of some environmental physics problems is represented by a singular integral equation with an oscillatory kernel. We investigate a method 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. In this way, we obtain a procedure that is numerically stable and the algorithm can be implemented in a fast way yielding satisfactory numerical results. Bounds of the error and of the amplification factor are also provided. (literal)
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