An exponential integrator for a highly oscillatory Vlasov equation

DOI10.3934/dcdss.2015.8.169zbMath1302.35367arXiv1306.3080OpenAlexW2951385141MaRDI QIDQ479077

Eric Sonnendrücker, Sever A. Hirstoaga, Emmanuel Frénod

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3080

zbMATH Keywords

Vlasov-Poisson systemexponential time differencinghighly oscillatory ODEsParticle-in-Cell method

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Simulation of dynamical systems (37M05) Vlasov equations (35Q83) Numerical methods for stiff equations (65L04)

Related Items (9)

Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes ⋮ Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data ⋮ An Adaptive Multiresolution Discontinuous Galerkin Method for Time-Dependent Transport Equations in Multidimensions ⋮ An attempt at classifying homogenization-based numerical methods ⋮ Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov--Poisson Equations ⋮ Preface: Homogenization-Based Numerical Methods ⋮ Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas ⋮ Multiscale modelling and splitting approaches for fluids composed of Coulomb-interacting particles ⋮ Explicit exponential algorithms for two-dimensional charged-particle dynamics with non-homogeneous electromagnetic fields

Uses Software

• Vador

Cites Work

• Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations
• Exponential time differencing for stiff systems
• Exponential integrators
• LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHOD
• Fourth-Order Time-Stepping for Stiff PDEs
• MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION
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