Stability and accuracy of a pseudospectral scheme for the Wigner function equation - Archive ouverte HAL Access content directly
Journal Articles Numerical Methods for Partial Differential Equations Year : 2017

Stability and accuracy of a pseudospectral scheme for the Wigner function equation

Abstract

A pseudospectral scheme with centred time-differencing for solving the Wigner function equation is investigated. Stability, second-order accuracy in time, and spectral accuracy in space are proved for the Wigner function equation with a potential in a periodic setting. In addition, normalization and energy conservation properties, and Ehrenfest's theorem are discussed. Numerical experiments are presented to validate the theoretical results.
Fichier principal
Vignette du fichier
LFPSWignerFinalNMPDE.pdf (881.46 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03587242 , version 1 (24-02-2022)

Identifiers

Cite

Andrea Thomann, Alfio Borzì. Stability and accuracy of a pseudospectral scheme for the Wigner function equation. Numerical Methods for Partial Differential Equations, 2017, 33 (1), pp.62-87. ⟨10.1002/num.22072⟩. ⟨hal-03587242⟩

Collections

INSMI
13 View
27 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More