Polynomial integration over the unit sphere

Othmani, Yamen
(2011) Applied Mathematics Letters — Vol. 24, n° 7, p. 1260-1264 (2011)

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  • Othmani, YamenUCLouvain
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Abstract
The main objective of this work is the implementation of recursive formulas allowing the integration of a high order polynomial expression on the unit sphere. These formulas facilitate the evaluation of very complex computations. The proofs of the formulas are based on mathematical induction as well as the divergence theorem. © 2011 Elsevier Ltd. All rights reserved.
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Othmani, Y. (2011). Polynomial integration over the unit sphere. Applied Mathematics Letters, 24(7), 1260-1264. https://doi.org/10.1016/j.aml.2011.02.019 (Original work published 2011)