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Manual Reference Pages  - qhfg (3)

NAME

qhfg(3f) - [M_math:integral] compute integral values for given general table of argument, function, and derivative values.

CONTENTS

Synopsis
Purpose
Description Of Parameters

SYNOPSIS

subroutine qhfg(x,y,dery,z,ndim)

   real          :: x(*)
   real          :: y(*)
   real          :: dery(*)
   real          :: z(*)
   integer       :: ndim

PURPOSE

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

DESCRIPTION OF PARAMETERS

X The input vector of argument values.
Y The input vector of function values.
DERY The input vector of derivative values.
Z The resulting vector of integral values. Z may be identical with X,Y or DERY.
NDIM The dimension of vectors X,Y,dery,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 fourth order integration formula. For reference, see
1. F.B.Hildebrand, Introduction to Numerical Analysis, McGraw-Hill, New York/Toronto/London, 1956, pp.314-319.
2. R.Zurmuehl, Praktische Mathematik fuer Ingenieure und Physiker, Springer, Berlin/Goettingen/Heidelberg, 1963, pp.227-230.


qhfg (3) March 11, 2021
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