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.

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  1. Cai, Xiaofeng; Guo, Wei; Qiu, Jing-Mei: A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting (2018)
  2. Deriaz, Erwan; Peirani, Sébastien: Six-dimensional adaptive simulation of the Vlasov equations using a hierarchical basis (2018)
  3. Garrett, C. Kristopher; Hauck, Cory D.: A fast solver for implicit integration of the Vlasov-Poisson system in the Eulerian framework (2018)
  4. Crouseilles, Nicolas; Lemou, Mohammed; Méhats, Florian; Zhao, Xiaofei: Uniformly accurate forward semi-Lagrangian methods for highly oscillatory Vlasov-Poisson equations (2017)
  5. Ehrlacher, Virginie; Lombardi, Damiano: A dynamical adaptive tensor method for the Vlasov-Poisson system (2017)
  6. Myers, A.; Colella, P.; Straalen, B.van: A 4th-order particle-in-cell method with phase-space remapping for the Vlasov-Poisson equation (2017)
  7. Qiu, Jing-Mei; Russo, Giovanni: A high order multi-dimensional characteristic tracing strategy for the Vlasov-Poisson system (2017)
  8. Yi, Dokkyun; Bu, Sunyoung: A mass conservative scheme for solving the Vlasov-Poisson equation using characteristic curve (2017)
  9. Christlieb, Andrew; Guo, Wei; Jiang, Yan: A WENO-based method of lines transpose approach for Vlasov simulations (2016)
  10. Filbet, Francis; Prouveur, Charles: High order time discretization for backward semi-Lagrangian methods (2016)
  11. Filbet, Francis; Rodrigues, Luis Miguel: Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field (2016)
  12. Hamiaz, Adnane; Mehrenberger, Michel; Sellama, Hocine; Sonnendrücker, Eric: The semi-Lagrangian method on curvilinear grids (2016)
  13. Kates-Harbeck, Julian; Totorica, Samuel; Zrake, Jonathan; Abel, Tom: Simplex-in-cell technique for collisionless plasma simulations (2016)
  14. Mouton, Alexandre: Expansion of a singularly perturbed equation with a two-scale converging convection term (2016)
  15. Sousbie, Thierry; Colombi, Stéphane: ColDICE: A parallel Vlasov-Poisson solver using moving adaptive simplicial tessellation (2016)
  16. 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)
  17. Zhu, Hongqiang; Qiu, Jianxian; Qiu, Jing-Mei: An $h$-adaptive RKDG method for the Vlasov-Poisson system (2016)
  18. Bostan, Mihai: On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields (2015)
  19. Cheng, Yingda; Christlieb, Andrew J.; Zhong, Xinghui: Numerical study of the two-species Vlasov-Ampère system: energy-conserving schemes and the current-driven ion-acoustic instability (2015)
  20. Einkemmer, Lukas; Ostermann, Alexander: A splitting approach for the Kadomtsev-Petviashvili equation (2015)

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