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

Denys Dutykh 1, 2, 3, 4
1 LAMA - Laboratoire de Mathématiques
2 USMB [Université de Savoie] [Université de Chambéry] - Université Savoie Mont Blanc
3 UGA [2016-2019] - Université Grenoble Alpes [2016-2019]
4 INSMI - Institut National des Sciences Mathématiques et de leurs Interactions
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.
Keywords : approximation theory diffusion parabolic equations pseudo-spectral methods
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Submitted on : Wednesday, February 13, 2019 - 11:18:57 AM
Last modification on : Friday, July 10, 2020 - 7:58:57 AM

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CNRS | INSMI | UNIV-SAVOIE | LAMA | UGA

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Denys Dutykh. A brief introduction to pseudo-spectral methods: application to diffusion problems. Doctoral. Curitiba, Brazil. 2016, pp.55. ⟨cel-01256472v4⟩

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