On numerical spectral analysis of the hydrodynamic equations

Grace Hechme (1) , Yuri Nechepurenko , Miloud. Sadkane

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

The aim of this paper is to gain insight into the spectral structure of the discrete analog of hydrodynamic equations linearized at a steady state and discuss how to compute its spectral characteristics connected with the main part of the spectrum.

Grace Hechme, Yuri Nechepurenko, Miloud. Sadkane. On numerical spectral analysis of the hydrodynamic equations. Russian Journal of Numerical Analysis and Mathematical Modelling, 2005, 20 (2), pp.115-129. ⟨10.1515/1569398054308685⟩. ⟨hal-00983035⟩