The Convergence Theory of Particle-In-Cell Methods for Multidimensional Vlasov–Poisson Systems

DOI10.1137/0728065zbMath0741.65072OpenAlexW2027371565MaRDI QIDQ3982647

Harold Dean jun. Victory, Edward J. Allen

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1137/0728065

zbMATH Keywords

convergenceerror estimatesparticle-in-cell methodsVlasov-Poisson systems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (12)

Highly accurate monotonicity-preserving semi-Lagrangian scheme for Vlasov-Poisson simulations ⋮ Analysis of a particle method for the one‐dimensional Vlasov‐Maxwell system ⋮ \(N\)-particles approximation of the Vlasov equations with singular potential ⋮ The particle method for the Vlasov-Poisson system using equally spaced initial data points ⋮ Free transport limit for \(N\)-particles dynamics with singular and short range potential ⋮ Analysis of a semi-Lagrangian method for the spherically symmetric Vlasov-Einstein system ⋮ Wavelet-based density estimation for noise reduction in plasma simulations using particles ⋮ Identification of the dilute regime in particle sedimentation ⋮ THE CONVERGENCE OF THE PARTICLE METHOD FOR THE VLASOV–POISSON SYSTEM WITH EQUALLY SPACED INITIAL DATA POINTS ⋮ Convergence of a numerical approximation to the one-dimensional vlasov-poisson system ⋮ The microscopic foundations of Vlasov theory for jellium-like Newtonian \(N\)-body systems ⋮ The Vlasov limit for a system of particles which interact with a wave field

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