| Chapter Introduction |
| 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 cos(omega x) or sin(omega x) |
| 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 1/(x-c), 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 cos(omega x) or sin(omega x) |
| 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
|
| D01BAF
|
One-dimensional Gaussian quadrature |
| D01BBF
|
Pre-computed weights and abscissae for Gaussian quadrature rules, restricted choice of rule
|
| 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
|
Multi-dimensional adaptive quadrature over hyper-rectangle, multiple integrands
|
| D01FBF
|
Multi-dimensional Gaussian quadrature over hyper-rectangle |
| D01FCF
|
Multi-dimensional adaptive quadrature over hyper-rectangle |
| D01FDF
|
Multi-dimensional quadrature, Sag–Szekeres method, general product region or n-sphere |
| D01GAF
|
One-dimensional quadrature, integration of function defined by data values, Gill–Miller method
|
| D01GBF
|
Multi-dimensional quadrature over hyper-rectangle, Monte Carlo method
|
| D01GCF
|
Multi-dimensional quadrature, general product region, number-theoretic method
|
| D01GDF
|
Multi-dimensional 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
|
Multi-dimensional quadrature over an n-sphere, allowing for badly-behaved integrands
|
| D01PAF
|
Multi-dimensional quadrature over an n-simplex |