Stability analysis of the Euler-Poisson equations

DOI10.1016/0021-9991(92)90020-YzbMath0758.65077MaRDI QIDQ1201039

Sylvie Fabre

Publication date: 17 January 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesEuler equationsPoisson equationsufficient conditionslinear Fourier analysisone-dimensional electrostatic plasmathree-point finite difference schemeupwind difference scheme

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Applications to the sciences (65Z05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (7)

A volume of fluid method for a two-dimensional plasma expansion problem ⋮ An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit ⋮ An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit ⋮ Numerical approximation of the Euler-Maxwell model in the quasineutral limit ⋮ Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit ⋮ A PLASMA EXPANSION MODEL BASED ON THE FULL EULER–POISSON SYSTEM ⋮ Multiscale Schemes for the BGK--Vlasov--Poisson System in the Quasi-Neutral and Fluid Limits. Stability Analysis and First Order Schemes

Cites Work

• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Numerical Methods in Fluid Dynamics

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