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Interpolation a plusieurs variables sur la sphere

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Summary

Given a functionf defined on the sphere σ, a continuation is considered which transformsf into a periodic function with period 2π, accordingto each of the two usual variables θ, ϕ.

Starting from this continuation, an explicit interpolation formula forf on σ in a set of trigonometric functions is obtained. A simple and numerically stable quadrature formula is given, which is accurate for a vast class of functions.

Error-bounds for approximation and quadrature are given.

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Authors and Affiliations

  1. I. U. T. Département Informatique, Boulevard Charlemagne, F-54, Nancy, France

    Gilles Tissier

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  1. Gilles Tissier
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Tissier, G. Interpolation a plusieurs variables sur la sphere. Numer. Math. 19, 136–145 (1972). https://doi.org/10.1007/BF01402524

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  • DOI: https://doi.org/10.1007/BF01402524

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