Back to Search
Start Over
On quadrature for Cauchy principal value integrals of oscillatory functions
- Source :
- Journal of computational and applied mathematics 156 (2003): 471–486. doi:10.1016/S0377-0427(03)00388-1, info:cnr-pdr/source/autori:Capobianco M.R., Criscuolo G./titolo:On quadrature for Cauchy principal value integrals of oscillatory functions/doi:10.1016%2FS0377-0427(03)00388-1/rivista:Journal of computational and applied mathematics/anno:2003/pagina_da:471/pagina_a:486/intervallo_pagine:471–486/volume:156
- Publication Year :
- 2003
-
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 provided.
- Subjects :
- Applied Mathematics
Numerical analysis
Mathematical analysis
Lagrange polynomial
Lagrange interpolation
Amplification factor
Quadrature (mathematics)
Computational Mathematics
symbols.namesake
Jacobi polynomials
Orthogonal polynomials
symbols
Error bound
Cauchy principal value
Oscillatory integrals
Cauchy's integral formula
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Journal of computational and applied mathematics 156 (2003): 471–486. doi:10.1016/S0377-0427(03)00388-1, info:cnr-pdr/source/autori:Capobianco M.R., Criscuolo G./titolo:On quadrature for Cauchy principal value integrals of oscillatory functions/doi:10.1016%2FS0377-0427(03)00388-1/rivista:Journal of computational and applied mathematics/anno:2003/pagina_da:471/pagina_a:486/intervallo_pagine:471–486/volume:156
- Accession number :
- edsair.doi.dedup.....d52704ceedf985c9c8ded7181aec77b4