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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Contributor : Denys Dutykh <>
Submitted on : Wednesday, February 13, 2019 - 11:18:57 AM
Last modification on : Wednesday, March 6, 2019 - 1:05:44 AM

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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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