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decus/20-0026/dqhsg.doc
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SUBROUTINE DQHSG
PURPOSE
TO COMPUTE THE VECTOR OF INTEGRAL VALUES FOR A GIVEN
GENERAL TABLE OF ARGUMENT, FUNCTION, FIRST DERIVATIVE,
AND SECOND DERIVATIVE VALUES.
USAGE
CALL DQHSG (X,Y,FDY,SDY,Z,NDIM)
DESCRIPTION OF PARAMETERS
X - DOUBLE PRECISION INPUT VECTOR OF ARGUMENT VALUES.
Y - DOUBLE PRECISION INPUT VECTOR OF FUNCTION VALUES.
FDY - DOUBLE PRECISION INPUT VECTOR OF FIRST DERIVATIVE.
SDY - DOUBLE PRECISION INPUT VECTOR OF SECOND DERIVATIVE.
Z - RESULTING DOUBLE PRECISION VECTOR OF INTEGRAL
VALUES. Z MAY BE IDENTICAL WITH X, Y, FDY OR SDY.
NDIM - THE DIMENSION OF VECTORS X,Y,FDY,SDY,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 HERMITEAN SIXTH ORDER INTEGRATION FORMULA.
FOR REFERENCE, SEE
R.ZURMUEHL, PRAKTISCHE MATHEMATIK FUER INGENIEURE UND
PHYSIKER, SPRINGER, BERLIN/GOETTINGEN/HEIDELBERG, 1963,
PP.227-230.