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Manual Reference Pages  - qhsg (3)

NAME

qhsg(3f) - [M_math] Compute integral values for given table of argument, function, 1st derivative, and 2nd derivative values.

CONTENTS

Synopsis
Purpose
Usage
     Description Of Parameters
Remarks
Subroutines And Function Subprograms Required
Method

SYNOPSIS

subroutine qhsg(x,y,fdy,sdy,z,ndim)

PURPOSE

Compute vector of integral values for given general table of argument, function, first derivative, and second derivative values.

USAGE

call qhsg (X,Y,FDY,SDY,Z,NDIM)

    DESCRIPTION OF PARAMETERS

X - The input vector of argument values.
Y - The input vector of function values.
FDY - The input vector of first derivative.
SDY - The input vector of second derivative.
Z - The resulting 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.


qhsg (3) March 11, 2021
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