| Routine Name |
Mark of Introduction |
Purpose |
| D01AHF Example Text |
8 | One-dimensional quadrature, adaptive, finite interval, strategy due to Patterson, suitable for well-behaved integrands |
| D01AJF Example Text |
8 | One-dimensional quadrature, adaptive, finite interval, strategy due to Piessens and de Doncker, allowing for badly behaved integrands |
| D01AKF Example Text |
8 | One-dimensional quadrature, adaptive, finite interval, method suitable for oscillating functions |
| D01ALF Example Text |
8 | One-dimensional quadrature, adaptive, finite interval, allowing for singularities at user-specified break-points |
| D01AMF Example Text |
2 | One-dimensional quadrature, adaptive, infinite or semi-infinite interval |
| D01ANF Example Text |
8 | One-dimensional quadrature, adaptive, finite interval, weight function cos(ωx) or sin(ωx) |
| D01APF Example Text |
8 | One-dimensional quadrature, adaptive, finite interval, weight function with end-point singularities of algebraico-logarithmic type |
| D01AQF Example Text |
8 | One-dimensional quadrature, adaptive, finite interval, weight function 1/(x-c), Cauchy principal value (Hilbert transform) |
| D01ARF Example Text |
10 | One-dimensional quadrature, non-adaptive, finite interval with provision for indefinite integrals |
| D01ASF Example Text |
13 | One-dimensional quadrature, adaptive, semi-infinite interval, weight function cos(ωx) or sin(ωx) |
| D01ATF Example Text |
13 | One-dimensional quadrature, adaptive, finite interval, variant of D01AJF efficient on vector machines |
| D01AUF Example Text |
13 | One-dimensional quadrature, adaptive, finite interval, variant of D01AKF efficient on vector machines |
| D01BAF Example Text |
7 | One-dimensional Gaussian quadrature |
| D01BBF Example Text |
7 | Pre-computed weights and abscissae for Gaussian quadrature rules, restricted choice of rule |
| D01BCF Example Text |
8 | Calculation of weights and abscissae for Gaussian quadrature rules, general choice of rule |
| D01BDF Example Text |
8 | One-dimensional quadrature, non-adaptive, finite interval |
| D01DAF Example Text |
5 | Two-dimensional quadrature, finite region |
| D01EAF Example Text |
12 | Multi-dimensional adaptive quadrature over hyper-rectangle, multiple integrands |
| D01FBF Example Text |
8 | Multi-dimensional Gaussian quadrature over hyper-rectangle |
| D01FCF Example Text |
8 | Multi-dimensional adaptive quadrature over hyper-rectangle |
| D01FDF Example Text |
10 | Multi-dimensional quadrature, Sag–Szekeres method, general product region or n-sphere |
| D01GAF Example Text Example Data |
5 | One-dimensional quadrature, integration of function defined by data values, Gill–Miller method |
| D01GBF Example Text |
10 | Multi-dimensional quadrature over hyper-rectangle, Monte Carlo method |
| D01GCF Example Text |
10 | Multi-dimensional quadrature, general product region, number-theoretic method |
| D01GDF Example Text |
14 | Multi-dimensional quadrature, general product region, number-theoretic method, variant of D01GCF efficient on vector machines |
| D01GYF Example Text |
10 | Korobov optimal coefficients for use in D01GCF or D01GDF, when number of points is prime |
| D01GZF Example Text |
10 | Korobov optimal coefficients for use in D01GCF or D01GDF, when number of points is product of two primes |
| D01JAF Example Text |
10 | Multi-dimensional quadrature over an n-sphere, allowing for badly behaved integrands |
| D01PAF Example Text |
10 | Multi-dimensional quadrature over an n-simplex |