Re: Gaussian quadrature weight of the form 1/(1+x^2)


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Posted by juergen on March 30, 1998 at 10:09:28:

In Reply to: Gaussian quadrature weight of the form 1/(1+x^2) posted by Xuelei Chen on March 29, 1998 at 02:54:10:

: hi, I wonder if there is ready made program or
: calculated abscissas and weights for the Gaussian
: quadrature of the form W(x)=1/(1+x^2), please let
: me know if you know one.

HI,

two references which might be helping (I don't
have them under my eyes so I can't guarantee)

J Ma, V Rohklin, S Wandzura
"Generalized gaussian quadrature rules for systems
of arbitrary functions"
SIAM J Num Ana, 33(3) 971-996, June 1996

A Sidi
"Numerical Quadrature Rules fro some infinite
range integrals"
Math Comp 38(157) 127-142, Jan 1982

cheers
juergen



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