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Lectures Year : 2016

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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Dates and versions

cel-01256472 , version 1 (14-01-2016)
cel-01256472 , version 2 (13-04-2016)
cel-01256472 , version 3 (17-06-2016)
cel-01256472 , version 4 (13-02-2019)

Licence

Attribution - NonCommercial - NoDerivatives

Identifiers

  • HAL Id : cel-01256472 , version 4

Cite

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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