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| HAL: hal-00718307, version 1 |
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| Sparse spectral approximations for computing polynomial functionals |
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| Erwan Faou 1, 2Fabio Nobile 3 |
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| (2012) |
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| We give a new fast method for evaluating sprectral approximations of nonlinear polynomial functionals. We prove that the new algorithm is convergent if the functions considered are smooth enough, under a general assumption on the spectral eigenfunctions that turns out to be satisfied in many cases, including the Fourier and Hermite basis. |
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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | IPSO (INRIA - IRMAR) |
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CNRS : UMR6074 – INRIA – Université de Rennes 1 |
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| 3: | Ecole Polytechnique Fédérale de Lausanne (EPFL) |
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École Polytechnique Fédérale de Lausanne |
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| 4: | École normale supérieure de Cachan, antenne de Bretagne (ENS Cachan Bretagne) |
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École normale supérieure de Cachan - ENS Cachan |
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| Analyse numérique |
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| Subject | : | Mathematics/Numerical Analysis |
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| Spectral methods – Sparse representations – Hermite polynomials |
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| Attached file list to this document: | |||||
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| hal-00718307, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00718307 | |
| oai:hal.archives-ouvertes.fr:hal-00718307 | |
| From: Marie-Annick Guillemer | |
| Submitted on: Monday, 16 July 2012 16:01:02 | |
| Updated on: Thursday, 14 March 2013 16:52:42 | |
