Geodesic
Recursive computation of certain integrals of elliptic type
Electronic transactions on numerical analysis, Tome 20 (2005), pp. 198-211.

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

Summary: An algorithm for the numerical calculation of the integral function IQP $\textcent $###$\sterling $########$\ddot $§$\copyright $###$$SRUTV{\S}XW`Yba$$###$$cdeRfgYbf0hfgigipi $\copyright $, 7 8\92@A ! "$#\\%('0)214365 \%CB D 1E3F5HG ' distinguished solution of the second-order difference equation $$###$$ShqcsreY $\copyright ${\S} $\textcent $###$\ddot ${\S}$\copyright $FrVhqc ###$Ywvxhq{\S}\copyright $\textcent y\sterling $EUR$$###$$S{\S}$\copyright $###^###ShqcXvVY $\copyright $###$Ywv$$###$${\S}$\copyright \textcent $###$\ddot ${\S}$\copyright $V###$\ddot $cd$$###$$Ybf $\dots h$fpigigi $\copyright \sterling $ut $\sterling 8$ 98 , that uses the recurrence relation and its related continued fraction expansion, is described and discussed. The nu- G G G G G G merical efficiency of the algorithm is analysed for various x values of the interval (RxT$\dagger ${\S}$$####{W####$$Y ). A twelve digits tabulation of $\textcent y\sterling $########S{\S}$\copyright $for cX$$###$$Yb$$###$Y \copyright 'hbR and {\S}'`R$$###$$CRi Rbh"$©…Y$ is presented as example of the algorithm utilization.$
Classification : 65Q05, 33E05, 11A55
Keywords: recurrence relations, elliptic integrals, continued fractions 
@article{ETNA_2005__20__a3,
     author = {Novario, P.G.},
     title = {Recursive computation of certain integrals of elliptic type},
     journal = {Electronic transactions on numerical analysis},
     pages = {198--211},
     publisher = {mathdoc},
     volume = {20},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__20__a3/}
}
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Novario, P.G. Recursive computation of certain integrals of elliptic type. Electronic transactions on numerical analysis, Tome 20 (2005), pp. 198-211. http://geodesic.mathdoc.fr/item/ETNA_2005__20__a3/