| D01AHF
| One-dimensional quadrature, adaptive, finite interval, strategy due to Patterson, suitable for well-behaved integrands |
| D01AJF
| One-dimensional quadrature, adaptive, finite interval, strategy due to Piessens and de Doncker, allowing for badly behaved integrands |
| D01AKF
| One-dimensional quadrature, adaptive, finite interval, method suitable for oscillating functions |
| D01ALF
| One-dimensional quadrature, adaptive, finite interval, allowing for singularities at user-specified break-points |
| D01AMF
| One-dimensional quadrature, adaptive, infinite or semi-infinite interval |
| D01ANF
| One-dimensional quadrature, adaptive, finite interval, weight function or |
| D01APF
| One-dimensional quadrature, adaptive, finite interval, weight function with end-point singularities of algebraico-logarithmic type |
| D01AQF
| One-dimensional quadrature, adaptive, finite interval, weight function , Cauchy principal value (Hilbert transform) |
| D01ARF
| One-dimensional quadrature, non-adaptive, finite interval with provision for indefinite integrals |
| D01ASF
| One-dimensional quadrature, adaptive, semi-infinite interval, weight function or |
| D01ATF
| One-dimensional quadrature, adaptive, finite interval, variant of D01AJF efficient on vector machines |
| D01AUF
| One-dimensional quadrature, adaptive, finite interval, variant of D01AKF efficient on vector machines |
| D01BCF
| Calculation of weights and abscissae for Gaussian quadrature rules, general choice of rule |
| D01BDF
| One-dimensional quadrature, non-adaptive, finite interval |
| D01DAF
| Two-dimensional quadrature, finite region |
| D01EAF
| Multidimensional adaptive quadrature over hyper-rectangle, multiple integrands |
| D01FBF
| Multidimensional Gaussian quadrature over hyper-rectangle |
| D01FCF
| Multidimensional adaptive quadrature over hyper-rectangle |
| D01FDF
| Multidimensional quadrature, Sag–Szekeres method, general product region or -sphere |
| D01GAF
| One-dimensional quadrature, integration of function defined by data values, Gill–Miller method |
| D01GBF
| Multidimensional quadrature over hyper-rectangle, Monte–Carlo method |
| D01GCF
| Multidimensional quadrature, general product region, number-theoretic method |
| D01GDF
| Multidimensional quadrature, general product region, number-theoretic method, variant of D01GCF efficient on vector machines |
| D01GYF
| Korobov optimal coefficients for use in D01GCF or D01GDF, when number of points is prime |
| D01GZF
| Korobov optimal coefficients for use in D01GCF or D01GDF, when number of points is product of two primes |
| D01JAF
| Multidimensional quadrature over an -sphere, allowing for badly behaved integrands |
| D01PAF
| Multidimensional quadrature over an -simplex |
| D01RAF
| One-dimensional quadrature, adaptive, finite interval, multiple integrands, vectorized abscissae, reverse communication |
| D01RBF
| Diagnostic routine for D01RAF |
| D01RCF
| Determine required array dimensions for D01RAF |
| D01RGF
| One-dimensional quadrature, adaptive, finite interval, strategy due to Gonnet, allowing for badly behaved integrands |
| D01TBF
| Pre-computed weights and abscissae for Gaussian quadrature rules, restricted choice of rule |
| D01UAF
| One-dimensional Gaussian quadrature, choice of weight functions |
| D01ZKF
| Option setting routine |
| D01ZLF
| Option getting routine |
| D02UYF
| Clenshaw–Curtis quadrature weights for integration using computed Chebyshev coefficients |