Geodesic
A quadrature formula of rational type for integrands with one endpoint singularity
Electronic transactions on numerical analysis, Tome 16 (2003), pp. 143-164.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The paper deals with the construction of an efficient quadrature formula of rational type to evaluate the integral of functions which are analytic in the interval of integration, except at the endpoints. Basically our approach consists in introducing a change of variable into the integral $$#############$\ddot ${\S}$\copyright \copyright $###$\sterling \textcent $#############$\ddot ${\S}$\copyright \copyright $! #"$\ddot \\%('0)21 {\S}5$$###$$768@96AB DCFE $$########$$268@ $$###$$768@96A!$$#############$\ddot $§$\copyright $QR$\copyright \copyright \\copyright $###$8\textcent $###PI $\textcent G$ %3"$\ddot \\%('4) E!H where {\S}TSVUXW and $$###$$768#Y $$###$$268a#Y $$###$$7Y $$###$$268@ $$###$$2b4c$$###$$2bedgfR@hR$$###$$ipdgfRb4 f i $textcenttextcent, Y ,$ .$
Classification : 41A25, 41A55, 65D30, 65D32
Keywords: interpolatory quadrature formulas, rational approximation, order of convergence, boundary singularities 
@article{ETNA_2003__16__a2,
     author = {Ill\'an, J.},
     title = {A quadrature formula of rational type for integrands with one endpoint singularity},
     journal = {Electronic transactions on numerical analysis},
     pages = {143--164},
     publisher = {mathdoc},
     volume = {16},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2003__16__a2/}
}
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Illán, J. A quadrature formula of rational type for integrands with one endpoint singularity. Electronic transactions on numerical analysis, Tome 16 (2003), pp. 143-164. http://geodesic.mathdoc.fr/item/ETNA_2003__16__a2/