Quadrature and symmetry on the Cubed Sphere

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2022

ISSN: ['0377-0427', '1879-1778', '0771-050X']

DOI: https://doi.org/10.1016/j.cam.2022.114142