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Journal Articles North-Western European Journal of Mathematics Year : 2022

Crank-Nicolson scheme for a logarithmic Schrödinger equation

Abstract

We discuss here a classical Crank-Nicolson numerical scheme to approximate the solutions of a nonlinear equation Schrödinger that reads ut − i∂x (ν(x)∂xu) − iu log |u| 2 = 0.

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Mathematics [math]
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https://hal.science/hal-03906217

Submitted on : Monday, December 19, 2022-12:21:36 PM

Last modification on : Friday, May 17, 2024-12:22:08 PM

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Dates and versions

hal-03906217 , version 1 (19-12-2022)

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  • HAL Id : hal-03906217 , version 1

Cite

Mariem Abidi, Véronique Martin, Olivier Goubet. Crank-Nicolson scheme for a logarithmic Schrödinger equation. North-Western European Journal of Mathematics, 2022. ⟨hal-03906217⟩

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