C C .................................................................. C C SUBROUTINE DQTFE C C PURPOSE C TO COMPUTE THE VECTOR OF INTEGRAL VALUES FOR A GIVEN C EQUIDISTANT TABLE OF FUNCTION VALUES. C C USAGE C CALL DQTFE (H,Y,Z,NDIM) C C DESCRIPTION OF PARAMETERS C H - DOUBLE PRECISION INCREMENT OF ARGUMENT VALUES. C Y - DOUBLE PRECISION INPUT VECTOR OF FUNCTION VALUES. C Z - RESULTING DOUBLE PRECISION VECTOR OF INTEGRAL C VALUES. Z MAY BE IDENTICAL WITH Y. C NDIM - THE DIMENSION OF VECTORS Y AND Z. C C REMARKS C NO ACTION IN CASE NDIM LESS THAN 1. C C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED C NONE C C METHOD C BEGINNING WITH Z(1)=0, EVALUATION OF VECTOR Z IS DONE BY C MEANS OF TRAPEZOIDAL RULE (SECOND ORDER FORMULA). C FOR REFERENCE, SEE C F.B.HILDEBRAND, INTRODUCTION TO NUMERICAL ANALYSIS, C MCGRAW-HILL, NEW YORK/TORONTO/LONDON, 1956, PP.75. C C .................................................................. C SUBROUTINE DQTFE(H,Y,Z,NDIM) C C DIMENSION Y(1),Z(1) DOUBLE PRECISION Y,Z,H,HH,SUM1,SUM2 C SUM2=0.D0 IF(NDIM-1)4,3,1 1 HH=.5D0*H C C INTEGRATION LOOP DO 2 I=2,NDIM SUM1=SUM2 SUM2=SUM2+HH*(Y(I)+Y(I-1)) 2 Z(I-1)=SUM1 3 Z(NDIM)=SUM2 4 RETURN END