Polynomial Interpolation on the Unit Sphere

DOI10.1137/S003614290139946XzbMath1065.41008OpenAlexW2013934628MaRDI QIDQ4443612

Yuan Xu

Publication date: 18 January 2004

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003614290139946x

zbMATH Keywords

interpolationspherical polynomialsunit sphere

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (8)

Polynomial interpolation on the unit sphere. II ⋮ Hermite interpolation associated with certain quadratic polynomials in \(\mathbb{R}^n\) ⋮ On a Hermite interpolation on the sphere ⋮ Polynomial interpolation in \(\mathbb R^2\) and on the unit sphere in \(\mathbb R^3\) ⋮ Regularized collocation for spherical harmonics gravitational field modeling ⋮ Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere ⋮ Polynomial interpolation on the unit sphere and some properties of its integral means ⋮ Near-optimal polynomial interpolation on spherical triangles

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