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The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation

, , , and . Journal of Computational Physics, 149 (2): 201--220 (March 1999)
DOI: 10.1006/jcph.1998.6148

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Analysis of a new class of forward semi-Lagrangian schemes for the 1D Vlasov Poisson equations., and . Numerische Mathematik, 118 (2): 329-366 (2011)An Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell Equations., and . J. Sci. Comput., 51 (1): 87-106 (2012)Sparse Grids for the Vlasov--Poisson Equation, and . Sparse Grids and Applications - Stuttgart 2014, page 163--190. Cham, Springer International Publishing, (2016)Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons., , , , and . J. Comput. Phys., (February 2024)A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov–Maxwell system, , , , and . Journal of Computational Physics, 227 (16): 7889--7916 (August 2008)Numerical Approximation of Self-Consistent Vlasov Models for Low-Frequency Electromagnetic Phenomena, , and . International Journal of Applied Mathematics and Computer Science, 17 (3): 361--374 (October 2007)A 5D gyrokinetic full-f global semi-Lagrangian code for flux-driven ion turbulence simulations., , , , , , , , , and 9 other author(s). Comput. Phys. Commun., (2016)On the Vlasov-Maxwell System with a Strong Magnetic Field., , and . SIAM J. Appl. Math., 78 (2): 1030-1055 (2018)A European Infrastructure for Fusion Simulations., , , , , , , , , and 7 other author(s). PDP, page 460-467. IEEE Computer Society, (2010)GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods, , , and . (2016)cite arxiv:1609.03053Comment: 57 Pages.