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decuslib20-02
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decus/20-0026/qtfe.doc
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SUBROUTINE QTFE
PURPOSE
TO COMPUTE THE VECTOR OF INTEGRAL VALUES FOR A GIVEN
EQUIDISTANT TABLE OF FUNCTION VALUES.
USAGE
CALL QTFE (H,Y,Z,NDIM)
DESCRIPTION OF PARAMETERS
H - THE INCREMENT OF ARGUMENT VALUES.
Y - THE INPUT VECTOR OF FUNCTION VALUES.
Z - THE RESULTING VECTOR OF INTEGRAL VALUES. Z MAY BE
IDENTICAL WITH Y.
NDIM - THE DIMENSION OF VECTORS Y AND Z.
REMARKS
NO ACTION IN CASE NDIM LESS THAN 1.
SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED
NONE
METHOD
BEGINNING WITH Z(1)=0, EVALUATION OF VECTOR Z IS DONE BY
MEANS OF TRAPEZOIDAL RULE (SECOND ORDER FORMULA).
FOR REFERENCE, SEE
F.B.HILDEBRAND, INTRODUCTION TO NUMERICAL ANALYSIS,
MCGRAW-HILL, NEW YORK/TORONTO/LONDON, 1956, PP.75.