# GaussQuadIntegration: Non-adaptive Gaussian quadrature for numeric integraton

Versions | 0.1 |
---|---|

Dependencies | base (>=3 && <6) [details] |

License | BSD-3-Clause |

Author | Grigory Sarnitsky <sargrigory@ya.ru> |

Maintainer | Grigory Sarnitsky <sargrigory@ya.ru> |

Category | Math |

Uploaded | by GrigorySarnitsky at Thu Sep 15 14:57:26 UTC 2011 |

Distributions | NixOS:0.1 |

Downloads | 734 total (7 in the last 30 days) |

Rating | (no votes yet) [estimated by rule of succession] |

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Status | Docs uploaded by user Build status unknown [no reports yet] Hackage Matrix CI |

This package provides means for numeric integration with a Gaussian quadrature. Precisely, it incorporates non-adaptive approximation for definite integrals using 128-, 256-, 512- and 1024-point Gaussian quadrature rule. For example, to find the approximation of an integral with a 256-point rule:

╭ a │ f(x) dx = nIntegrate256 f a b ╯ b

> nIntegrate256 (\x -> x^999) 0 1 9.999999999999887e-4

The type of a function here is not confined only by Double -> Double, indeed one can use any instance of Fractional:

> nIntegrate256 (\x -> x^999 :: Fixed Prec50) 0 1 0.00100000000000000000000000000000000000000000000009

128 and 256 rules are given with the accuracy of 50 digits, 512 --- with 35 digits (roughly quad), all of them were computed by myself. 1024-point rule was taken from the Gauss-Legendre Quadrature C/C++ library by Pavel Holoborodko (http://www.holoborodko.com/pavel/numerical-methods/numerical-integration/) and goes with the accuracy of 25 decimal digits (fixed point).

## Downloads

- GaussQuadIntegration-0.1.tar.gz [browse] (Cabal source package)
- Package description (as included in the package)