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Gaussian quadrature [1 record]

Record 1 2002-02-25

English

Subject field(s)
  • Climatology
  • Scientific Measurements and Analyses
  • Mathematical Geography
DEF

Numerical integration procedure, devised by Gauss, that provides maximum accuracy for a given number of data points by positioning them suitably.

CONT

The integrals in (4.2) are evaluated numerically, after discretization over the vertical grid, considering the atmosphere as a pile of homogeneous layers. As the cooling rate is strongly dependent on local conditions of temperature and pressure, and energy is mainly exchanged with the layers adjacent to the level where fluxes are calculated, the contribution of the distant layers is simply computed using a trapezoidal rule integration, but the contribution of the adjacent layers is evaluated with a two-point Gaussian quadrature ...

Key term(s)
  • Gauss quadrature

French

Domaine(s)
  • Climatologie
  • Mesures et analyse (Sciences)
  • Géographie mathématique
CONT

La méthode Taguchi s'appuie sur des méthodes d'intégration numériques de type quadrature de Gauss. Elle permet d'estimer simplement les moments statistiques d'une fonction de plusieurs variables aléatoires indépendantes dont les densités de probabilité sont connues.

CONT

Pour calculer ces coefficients spectraux Xnm, on utilise la transformation de Fourier et la quadrature de Gauss. La quadrature de Gauss est le remplacement d'une intégrale par une somme finie, elle introduit les poids et les latitudes de Gauss [...]

CONT

[...] enfin, la méthode de Piessens (1971) utilise des techniques de quadrature Gaussienne pour évaluer numériquement l'intégrale de Bromwich.

Spanish

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