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

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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},
     year = {2003},
     volume = {16},
     zbl = {1098.41028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2003__16__a2/}
}
TY  - JOUR
AU  - Illán,  J.
TI  - A quadrature formula of rational type for integrands with one endpoint singularity
JO  - Electronic transactions on numerical analysis
PY  - 2003
SP  - 143
EP  - 164
VL  - 16
UR  - http://geodesic.mathdoc.fr/item/ETNA_2003__16__a2/
LA  - en
ID  - ETNA_2003__16__a2
ER  - 
%0 Journal Article
%A Illán,  J.
%T A quadrature formula of rational type for integrands with one endpoint singularity
%J Electronic transactions on numerical analysis
%D 2003
%P 143-164
%V 16
%U http://geodesic.mathdoc.fr/item/ETNA_2003__16__a2/
%G en
%F ETNA_2003__16__a2
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/