qhsg(3f) - [M_math] Compute integral values for given table of argument, function, 1st derivative, and 2nd derivative values.
Synopsis
Purpose
Usage
Description Of Parameters
Remarks
Subroutines And Function Subprograms Required
Method
subroutine qhsg(x,y,fdy,sdy,z,ndim)
Compute vector of integral values for given general table of argument, function, first derivative, and second derivative values.
call qhsg (X,Y,FDY,SDY,Z,NDIM)
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.
No action in case NDIM less than 1.
None
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.
Nemo Release 3.1 | qhsg (3) | February 23, 2025 |