A Critical Comparison of Eulerian-Grid-Based Vlasov Solvers, Journal of Computational Physics, vol.180, issue.1, pp.339-357, 2002. ,
DOI : 10.1006/jcph.2002.7098
Stability analysis for linear discretisations of the advection equation with Runge???Kutta time integration, Journal of Computational Physics, vol.227, issue.13, pp.6638-6659, 2008. ,
DOI : 10.1016/j.jcp.2008.03.025
A New Class of Nonlinear Finite-Volume Methods for Vlasov Simulation, IEEE Transactions on Plasma Science, vol.38, issue.9, 2010. ,
DOI : 10.1109/TPS.2010.2056937
Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov--Poisson system, Mathematics of Computation, vol.77, issue.261, pp.93-123, 2008. ,
DOI : 10.1090/S0025-5718-07-01912-6
URL : https://hal.archives-ouvertes.fr/hal-00594785
Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space, Journal of Computational Physics, vol.191, issue.2, pp.341-376, 2003. ,
DOI : 10.1016/S0021-9991(03)00318-8
URL : https://hal.archives-ouvertes.fr/hal-00594781
Generalizing the Formula for Areas of Polygons to Moments, The American Mathematical Monthly, vol.96, issue.2, 1989. ,
DOI : 10.2307/2323197
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works, Journal of Computational Physics, vol.11, issue.1, pp.38-69, 1973. ,
DOI : 10.1016/0021-9991(73)90147-2
Some numerical aspects of the conservative PSM scheme in a 4D drift kinetic code, INRIA Research Report, vol.7109 ,
URL : https://hal.archives-ouvertes.fr/inria-00435203
Plasmas Physics and Controlled Fusion, 1984. ,
The integration of the vlasov equation in configuration space, Journal of Computational Physics, vol.22, issue.3, pp.330-351, 1976. ,
DOI : 10.1016/0021-9991(76)90053-X
Grid-free plasma simulation techniques, Plasma Science 34, pp.149-165, 2006. ,
High-order, finite-volume methods in mapped coordinates, Journal of Computational Physics, vol.230, issue.8, pp.2952-2976, 2011. ,
DOI : 10.1016/j.jcp.2010.12.044
A limiter for PPM that preserves accuracy at smooth extrema, Journal of Computational Physics, vol.227, issue.15, pp.7069-7076, 2008. ,
DOI : 10.1016/j.jcp.2008.03.034
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations, Journal of Computational Physics, vol.54, issue.1, pp.174-201, 1984. ,
DOI : 10.1016/0021-9991(84)90143-8
Second-order entropy diminishing scheme for the Euler equations, International Journal for Numerical Methods in Fluids, vol.39, issue.9, pp.1029-1061, 2006. ,
DOI : 10.1002/fld.1104
URL : https://hal.archives-ouvertes.fr/hal-00139605
Numerical comparisons of gyrokinetic multi-water-bag models, Journal of Computational Physics, vol.248, pp.1-32, 2013. ,
DOI : 10.1016/j.jcp.2013.03.065
URL : https://hal.archives-ouvertes.fr/hal-00925099
???ber die partiellen Differenzengleichungen der mathematischen Physik, Mathematische Annalen, vol.98, issue.6, pp.32-74, 1928. ,
DOI : 10.1007/BF01448839
Numerical integration of ordinary differential equations on manifolds, Journal of Nonlinear Science, vol.3, issue.4???8, pp.1-33, 1993. ,
DOI : 10.1007/BF02429858
High order Runge-Kutta-Nyström splitting methods for the Vlasov-Poisson equation, 2011. ,
Conservative semi-Lagrangian schemes for Vlasov equations, Journal of Computational Physics, vol.229, issue.6, pp.1927-1953, 2010. ,
DOI : 10.1016/j.jcp.2009.11.007
URL : https://hal.archives-ouvertes.fr/hal-00363643
Physics of non neutral plasmas, 1990. ,
Uniform Asymptotic Stability of Strang's Explicit Compact Schemes for Linear Advection, SIAM Journal on Numerical Analysis, vol.47, issue.5, pp.3956-3976, 2009. ,
DOI : 10.1137/080734571
A new conservative unsplit method for the solution of the Vlasov equation, Journal of Computational Physics, vol.213, issue.2, pp.862-875, 2006. ,
DOI : 10.1016/j.jcp.2005.09.023
A numerical solution to the Vlasov equation, Computer Physics Communications, vol.116, issue.2-3, pp.329-335, 1999. ,
DOI : 10.1016/S0010-4655(98)00146-5
Conservative Numerical Schemes for the Vlasov Equation, Journal of Computational Physics, vol.172, issue.1, pp.166-187, 2001. ,
DOI : 10.1006/jcph.2001.6818
Comparison of Eulerian Vlasov solvers, Computer Physics Communications, vol.150, issue.3, pp.247-266, 2003. ,
DOI : 10.1016/S0010-4655(02)00694-X
URL : https://hal.archives-ouvertes.fr/hal-00129663
A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation, Journal of Computational Physics, vol.217, issue.2, pp.395-423, 2006. ,
DOI : 10.1016/j.jcp.2006.01.023
URL : https://hal.archives-ouvertes.fr/hal-00594856
Geometric numerical integration : Structure- Preserving Algorithms for Ordinary Differential Equations, 2006. ,
Instability of the time splitting scheme for the one-dimensional and relativistic Vlasov???Maxwell system, Journal of Computational Physics, vol.185, issue.2, pp.512-531, 2003. ,
DOI : 10.1016/S0021-9991(02)00079-7
Adaptive grids in weather and climate modeling, 1989. ,
Accuracy of unperturbed motion of particles in a gyrokinetic semi- Lagrangian code, INRIA Research Report, vol.8054, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00727118
A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid, Journal of Computational Physics, vol.229, issue.5, pp.1401-1424, 2010. ,
DOI : 10.1016/j.jcp.2009.10.036
An unconditionally stable fully conservative semi-Lagrangian method, Journal of Computational Physics, vol.230, issue.8, pp.2857-2879, 2011. ,
DOI : 10.1016/j.jcp.2010.12.036
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.308.2617
Semi-Lagrangian simulations of the diocotron instability, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00841504
Stability of the Lagrange-Galerkin scheme with inexact integration, RAIRO Modélisation Mathématique et Analyse Numérique 22, pp.625-653, 1988. ,
Exactly Conservative Semi-Lagrangian Scheme for Multi-dimensional Hyperbolic Equations with Directional Splitting Technique, Journal of Computational Physics, vol.174, issue.1, pp.171-207, 2001. ,
DOI : 10.1006/jcph.2001.6888
Cubic interpolated propagation scheme for solving the hyper-dimensional Vlasov???Poisson equation in phase space, Computer Physics Communications, vol.120, issue.2-3, pp.122-154, 1999. ,
DOI : 10.1016/S0010-4655(99)00247-7
The diocotron instability in a pulsar cylindrical electrosphere, Astronomy and Astrophysics, vol.464, issue.1, 2008. ,
DOI : 10.1051/0004-6361:20066298
Non-linear evolution of the diocotron instability in a pulsar electrosphere : 2D PIC simulations, Astronomy & Astrophysics, 2009. ,
Spline and Variational Methods, 1975. ,
Abstract, Communications in Computational Physics, vol.229, issue.04, pp.979-1000, 2011. ,
DOI : 10.4208/cicp.180210.251110a
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov???Poisson system, Journal of Computational Physics, vol.230, issue.23, pp.8386-8409, 2011. ,
DOI : 10.1016/j.jcp.2011.07.018
A stable numerical integration scheme for the primitive meteorological equations, Atmosphere-Ocean, vol.19, issue.1, pp.35-46, 1981. ,
DOI : 10.1111/j.2153-3490.1959.tb00019.x
Discontinuous Galerkin methods for Vlasov models of plasma, 2012. ,
A two-level implicit scheme for the numerical solution of the linearized vorticity equation, International Journal for Numerical Methods in Engineering, vol.18, issue.10, p.1525, 1981. ,
DOI : 10.1002/nme.1620171007
Eulerian codes for the numerical solution of the Vlasov equation, Communications in Nonlinear Science and Numerical Simulation, vol.13, issue.1, pp.174-182, 2008. ,
DOI : 10.1016/j.cnsns.2007.04.004
The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation, Journal of Computational Physics, vol.149, issue.2, pp.201-220, 1999. ,
DOI : 10.1006/jcph.1998.6148
Semi-Lagrangian Integration Schemes for Atmospheric Models???A Review, Monthly Weather Review, vol.119, issue.9, 1991. ,
DOI : 10.1175/1520-0493(1991)119<2206:SLISFA>2.0.CO;2
Some considerations for highorder "incremental remap"-based transport schemes : edges, reconstructions and area integration, International Journal for Numerical Methods in Fluids : in press, 2012. ,