A brief introduction to pseudo-spectral methods: application to diffusion problems
Numerical Analysis
2019-12-16 v2
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.
Cite
@article{arxiv.1606.05432,
title = {A brief introduction to pseudo-spectral methods: application to diffusion problems},
author = {Denys Dutykh},
journal= {arXiv preprint arXiv:1606.05432},
year = {2019}
}
Comments
Some minor typos corrected. 55 pages, 40 references, 14 figures. Other author's papers can be downloaded at http://www.denys-dutykh.com/