262 citations
- Centre National de la Recherche ScientifiqueFR35 papers
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math.NA2016★ 11 cited
How to overcome the Courant-Friedrichs-Lewy condition of explicit discretizations?
Denys Dutykh
This manuscript contains some thoughts on the discretization of the classical heat equation. Namely, we discuss the advantages and disadvantages of explicit and implicit schemes. T…
math.NA2016★ 2 cited
A brief introduction to pseudo-spectral methods: application to diffusion problems
Denys Dutykh
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 pseu…