Convergence of a High-Order Semi-Lagrangian Scheme with Propagation of Gradients for the One-Dimensional Vlasov–Poisson System

DOI10.1137/050635171zbMath1168.82025OpenAlexW1994615527MaRDI QIDQ3624385

Nicolas Besse

Publication date: 30 April 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050635171

zbMATH Keywords

convergence analysishigh-order schemesVlasov-Poisson systemsemi-Lagrangian methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Statistical mechanics of plasmas (82D10)

Related Items

The dissipative generalized hydrodynamic equations and their numerical solution ⋮ A conservative semi-Lagrangian HWENO method for the Vlasov equation ⋮ On the Convergence of Discontinuous Galerkin/Hermite Spectral Methods for the Vlasov–Poisson System ⋮ Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space ⋮ On \(hp\)-streamline diffusion and Nitsche schemes for the relativistic Vlasov-Maxwell system ⋮ Analysis of a semi-Lagrangian method for the spherically symmetric Vlasov-Einstein system ⋮ DISCONTINUOUS GALERKIN METHODS FOR THE MULTI-DIMENSIONAL VLASOV–POISSON PROBLEM ⋮ Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov--Poisson system