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Numerical Algorithms Group
NAG Toolbox for MATLAB

  • D01 Introduction
  • d01ah – One-dimensional quadrature, adaptive, finite interval, strategy due to Patterson, suitable for well-behaved integrands
  • d01aj – One-dimensional quadrature, adaptive, finite interval, strategy due to Piessens and de Doncker, allowing for badly behaved integrands
  • d01ak – One-dimensional quadrature, adaptive, finite interval, method suitable for oscillating functions
  • d01al – One-dimensional quadrature, adaptive, finite interval, allowing for singularities at user-specified break-points
  • d01am – One-dimensional quadrature, adaptive, infinite or semi-infinite interval
  • d01an – One-dimensional quadrature, adaptive, finite interval, weight function cos(( omega x)) or sin(( omega x))
  • d01ap – One-dimensional quadrature, adaptive, finite interval, weight function with end-point singularities of algebraico-logarithmic type
  • d01aq – One-dimensional quadrature, adaptive, finite interval, weight function 1/(x-c), Cauchy principal value (Hilbert transform)
  • d01ar – One-dimensional quadrature, non-adaptive, finite interval with provision for indefinite integrals
  • d01as – One-dimensional quadrature, adaptive, semi-infinite interval, weight function cos(( omega x)) or sin(( omega x))
  • d01at – One-dimensional quadrature, adaptive, finite interval, variant of d01aj efficient on vector machines
  • d01au – One-dimensional quadrature, adaptive, finite interval, variant of d01ak efficient on vector machines
  • d01ba – One-dimensional Gaussian quadrature
  • d01bb – Pre-computed weights and abscissae for Gaussian quadrature rules, restricted choice of rule
  • d01bc – Calculation of weights and abscissae for Gaussian quadrature rules, general choice of rule
  • d01bd – One-dimensional quadrature, non-adaptive, finite interval
  • d01da – Two-dimensional quadrature, finite region
  • d01ea – Multi-dimensional adaptive quadrature over hyper-rectangle, multiple integrands
  • d01fb – Multi-dimensional Gaussian quadrature over hyper-rectangle
  • d01fc – Multi-dimensional adaptive quadrature over hyper-rectangle
  • d01fd – Multi-dimensional quadrature, Sag–Szekeres method, general product region or n-sphere
  • d01ga – One-dimensional quadrature, integration of function defined by data values, Gill–Miller method
  • d01gb – Multi-dimensional quadrature over hyper-rectangle, Monte Carlo method
  • d01gc – Multi-dimensional quadrature, general product region, number-theoretic method
  • d01gd – Multi-dimensional quadrature, general product region, number-theoretic method, variant of d01gc efficient on vector machines
  • d01gy – Korobov optimal coefficients for use in d01gc or d01gd, when number of points is prime
  • d01gz – Korobov optimal coefficients for use in d01gc or d01gd, when number of points is product of two primes
  • d01ja – Multi-dimensional quadrature over an n-sphere, allowing for badly behaved integrands
  • d01pa – Multi-dimensional quadrature over an n-simplex