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A brief introduction to pseudo-spectral methods: application to diffusion problems

Abstract : The topic of these notes could be easily expanded into a full one-semester course. Nevertheless we shall try to give some flavour along with theoretical bases of spectral and pseudo-spectral methods. The main focus is made on Fourier-type discretizations, even if some indications on how to handle non-periodic problems via Tchebyshev and Legendre approaches are made as well. The applications presented here are diffusion-type problems in accordance with the topics of the PhD school.
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https://cel.archives-ouvertes.fr/cel-01256472
Contributor : Denys Dutykh <>
Submitted on : Wednesday, April 13, 2016 - 1:51:24 PM
Last modification on : Tuesday, December 17, 2019 - 10:04:07 AM
Document(s) archivé(s) le : Thursday, July 14, 2016 - 5:39:16 PM

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Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

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  • HAL Id : cel-01256472, version 2

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Denys Dutykh. A brief introduction to pseudo-spectral methods: application to diffusion problems. Doctoral. Curitiba, Brazil. 2016, pp.47. ⟨cel-01256472v2⟩

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