DQK15(3)

SYNOPSIS
SUBROUTINE DQK15 (F, A, B, RESULT, ABSERR, RESABS, RESASC)

NAME
dqk15 - To compute I = Integral of F over (A,B), with error estimate J = integral of ABS(F) over (A,B)

LIBRARY
SLATEC (QUADPACK)

CATEGORY
H2A1A2

TYPE
DOUBLE PRECISION (QK15-S, DQK15-D)

KEYWORDS
15-POINT GAUSS-KRONROD RULES, QUADPACK, QUADRATURE

AUTHOR
Piessens, Robert Applied Mathematics and Programming Division K. U. Leuven de Doncker, Elise Applied Mathematics and Programming Division K. U. Leuven

DESCRIPTION
Integration rules Standard fortran subroutine Double precision version PARAMETERS ON ENTRY F - Double precision Function subprogram defining the integrand FUNCTION F(X). The actual name for F needs to be Declared E X T E R N A L in the calling program. A - Double precision Lower limit of integration B - Double precision Upper limit of integration ON RETURN RESULT - Double precision Approximation to the integral I Result is computed by applying the 15-POINT KRONROD RULE (RESK) obtained by optimal addition of abscissae to the 7-POINT GAUSS RULE(RESG). ABSERR - Double precision Estimate of the modulus of the absolute error, which should not exceed ABS(I-RESULT) RESABS - Double precision Approximation to the integral J RESASC - Double precision Approximation to the integral of ABS(F-I/(B-A)) over (A,B)

REFERENCES
(NONE)

ROUTINES CALLED
D1MACH

REVISION HISTORY (YYMMDD)
800101 DATE WRITTEN
890531 Changed all specific intrinsics to generic. (WRB)
890531 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)