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43,50145/qg7.doc
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SUBROUTINE QG7
PURPOSE
TO COMPUTE INTEGRAL(FCT(X), SUMMED OVER X FROM XL TO XU)
USAGE
CALL QG7 (XL,XU,FCT,Y)
PARAMETER FCT REQUIRES AN EXTERNAL STATEMENT
DESCRIPTION OF PARAMETERS
XL - THE LOWER BOUND OF THE INTERVAL.
XU - THE UPPER BOUND OF THE INTERVAL.
FCT - THE NAME OF AN EXTERNAL FUNCTION SUBPROGRAM USED.
Y - THE RESULTING INTEGRAL VALUE.
REMARKS
NONE
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
THE EXTERNAL FUNCTION SUBPROGRAM FCT(X) MUST BE FURNISHED
BY THE USER.
METHOD
EVALUATION IS DONE BY MEANS OF 7-POINT GAUSS QUADRATURE
FORMULA, WHICH INTEGRATES POLYNOMIALS UP TO DEGREE 13
EXACTLY.
FOR REFERENCE, SEE
V.I.KRYLOV, APPROXIMATE CALCULATION OF INTEGRALS,
MACMILLAN, NEW YORK/LONDON, 1962, PP.100-111 AND 337-338.