Vlasov Approximation by a Direct and Object-oriented Resolution. The Vlasov equation describes the evolution of a system of particles under the effects of self-consistent electro magnetic fields. The unknown f(t,x,v), depending on the time t, the position x, and the velocity v, represents the distribution function of particles (electrons, ions,...) in phase space. This model can be used for the study of beam propagation or of a collisionless plasma.

References in zbMATH (referenced in 120 articles )

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  1. Einkemmer, Lukas; Ostermann, Alexander: A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation (2018)
  2. Garrett, C. Kristopher; Hauck, Cory D.: A fast solver for implicit integration of the Vlasov-Poisson system in the Eulerian framework (2018)
  3. Pinto, Martin Campos; Charles, Frédérique: From particle methods to forward-backward Lagrangian schemes (2018)
  4. Vogman, G. V.; Shumlak, U.; Colella, P.: Conservative fourth-order finite-volume Vlasov-Poisson solver for axisymmetric plasmas in cylindrical ((r,v_r,v_\theta)) phase space coordinates (2018)
  5. Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei: Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations (2017)
  6. Doisneau, François; Arienti, Marco; Oefelein, Joseph C.: A semi-Lagrangian transport method for kinetic problems with application to dense-to-dilute polydisperse reacting spray flows (2017)
  7. Ehrlacher, Virginie; Lombardi, Damiano: A dynamical adaptive tensor method for the Vlasov-Poisson system (2017)
  8. Liu, Chang; Xu, Kun: A unified gas kinetic scheme for continuum and rarefied flows. V: Multiscale and multi-component plasma transport (2017)
  9. Myers, A.; Colella, P.; Straalen, B.van: A 4th-order particle-in-cell method with phase-space remapping for the Vlasov-Poisson equation (2017)
  10. Qiu, Jing-Mei; Russo, Giovanni: A high order multi-dimensional characteristic tracing strategy for the Vlasov-Poisson system (2017)
  11. Yi, Dokkyun; Bu, Sunyoung: A mass conservative scheme for solving the Vlasov-Poisson equation using characteristic curve (2017)
  12. Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jing-Mei: A conservative semi-Lagrangian HWENO method for the Vlasov equation (2016)
  13. Christlieb, Andrew; Guo, Wei; Jiang, Yan: A WENO-based method of lines transpose approach for Vlasov simulations (2016)
  14. Filbet, Francis; Prouveur, Charles: High order time discretization for backward semi-Lagrangian methods (2016)
  15. Filbet, Francis; Rodrigues, Luis Miguel: Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field (2016)
  16. Hamiaz, Adnane; Mehrenberger, Michel; Sellama, Hocine; Sonnendrücker, Eric: The semi-Lagrangian method on curvilinear grids (2016)
  17. Kates-Harbeck, Julian; Totorica, Samuel; Zrake, Jonathan; Abel, Tom: Simplex-in-cell technique for collisionless plasma simulations (2016)
  18. Mouton, Alexandre: Expansion of a singularly perturbed equation with a two-scale converging convection term (2016)
  19. Sousbie, Thierry; Colombi, Stéphane: \textttColDICE: A parallel Vlasov-Poisson solver using moving adaptive simplicial tessellation (2016)
  20. Wolf, Eric M.; Causley, Matthew; Christlieb, Andrew; Bettencourt, Matthew: A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver (2016)

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