The numerical quadrature subroutines provide Gaussian quadrature methods
for integrating a tabulated function and a user-supplied function over a
finite, semi-infinite, or infinite region of integration (Table 159).
Table 159. List of Numerical Quadrature Subroutines
| Descriptive Name | Short- Precision Subroutine | Long- Precision Subroutine | Page |
|---|---|---|---|
| Numerical Quadrature Performed on a Set of Points | SPTNQ | DPTNQ | SPTNQ and DPTNQ--Numerical Quadrature Performed on a Set of Points |
| Numerical Quadrature Performed on a Function Using Gauss-Legendre Quadrature | SGLNQ& | DGLNQ& | SGLNQ and DGLNQ--Numerical Quadrature Performed on a Function Using Gauss-Legendre Quadrature |
| Numerical Quadrature Performed on a Function Over a Rectangle Using Two-Dimensional Gauss-Legendre Quadrature | SGLNQ2& | DGLNQ2& | SGLNQ2 and DGLNQ2--Numerical Quadrature Performed on a Function Over a Rectangle Using Two-Dimensional Gauss-Legendre Quadrature |
| Numerical Quadrature Performed on a Function Using Gauss-Laguerre Quadrature | SGLGQ& | DGLGQ& | SGLGQ and DGLGQ--Numerical Quadrature Performed on a Function Using Gauss-Laguerre Quadrature |
| Numerical Quadrature Performed on a Function Using Gauss-Rational Quadrature | SGRAQ& | DGRAQ& | SGRAQ and DGRAQ--Numerical Quadrature Performed on a Function Using Gauss-Rational Quadrature |
| Numerical Quadrature Performed on a Function Using Gauss-Hermite Quadrature | SGHMQ& | DGHMQ& | SGHMQ and DGHMQ--Numerical Quadrature Performed on a Function Using Gauss-Hermite Quadrature |
|
& This subprogram is invoked as a function in a Fortran
program.
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