An efficient quadrature rule on the cubed sphere - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

An efficient quadrature rule on the cubed sphere

Résumé

A new quadrature rule for functions defined on the sphere is introduced. The nodes are defined as the points of the Cubed Sphere. The associated weights are defined in analogy to the trapezoidal rule on each panel of the Cubed Sphere. The formula enjoys a symmetry property ensuring that a proportion of 7/8 of all Spherical Harmonics is integrated exactly. Based on the remaining Spherical Harmonics, it is possible to define modified weights giving an enhanced quad-rature rule. Numerical results show that the new quadrature is competitive with classical rules of the litterature. This second quadrature rule is believed to be of interest for applied mathematicians, physicists and engineers dealing with data located at the points of the Cubed Sphere.
Fichier principal
Vignette du fichier
CS10-num-Oct-02-2016.pdf (828.34 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01380370 , version 1 (12-10-2016)

Identifiants

  • HAL Id : hal-01380370 , version 1

Citer

Brice Portelenelle, Jean-Pierre Croisille. An efficient quadrature rule on the cubed sphere. 2016. ⟨hal-01380370⟩
154 Consultations
327 Téléchargements

Partager

Gmail Facebook X LinkedIn More