Abstract
In the companion paper (Bellet et al., 2021), a spherical harmonic subspace associated to the Cubed Sphere has been introduced. This subspace is further analyzed here. In particular, it permits to define a new Cubed Sphere based quadrature. This quadrature inherits the rotational invariance properties of the spherical harmonic subspace. Contrary to Gaussian quadrature, where the set of nodes and weights is solution of a nonlinear system, only the weights are unknown here. Despite this conceptual simplicity, the new quadrature displays an accuracy comparable to optimal quadratures, such as the Lebedev rules. (C) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier