| 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 |
8 | 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 Example Plot |
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 Example Plot |
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 |