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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) October 17, 2020
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