2022
DOI: 10.1007/s00211-022-01340-w
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Interpolation on the cubed sphere with spherical harmonics

Abstract: We consider the Lagrange interpolation with Spherical Harmonics of data located on the equiangular Cubed Sphere. A new approach based on a suitable Echelon Form of the associated Vandermonde matrix is carried out. As an outcome, a particular subspace of Spherical Harmonics is dened. This subspace possesses a high-frequency truncation, reminiscent of the rhomboidal truncation. Numerical results show the interest of this approach in various contexts. In particular, several examples of resolution of the Poisson e… Show more

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Cited by 2 publications
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“…In [4], we have introduced a particular SH subspace with good interpolating properties on the Cubed Sphere (Lagrange interpolation). This space consists of the direct sum…”
Section: Introductionmentioning
confidence: 99%
“…In [4], we have introduced a particular SH subspace with good interpolating properties on the Cubed Sphere (Lagrange interpolation). This space consists of the direct sum…”
Section: Introductionmentioning
confidence: 99%