J. Abiteboul, G. Latu, V. Grandgirard, A. Ratnani, E. Sonnendrücker et al., Solving the Vlasov equation in complex geometries, ESAIM: Proceedings, vol.32, pp.103-117, 2010.
DOI : 10.1051/proc/2011015

V. C. Azevedo and M. M. Oliveira, Efficient Smoke Simulation on Curvilinear Grids, Pacific Graphics 2013, 2013.

A. Back, A. Crestetto, A. Ratnani, and E. Sonnendrücker, An axisymmetric PIC code based on isogeometric analysis, ESAIM: Proceedings, vol.32, pp.118-133, 2010.
DOI : 10.1051/proc/2011016
URL : https://hal.archives-ouvertes.fr/hal-00642044

A. Back, E. Chacon-golcher, V. Grandgirard, A. Ratnani, and E. Sonnendrücker, A 4D Vlasov-Poisson solver on an arbitrary curvilinear grid

N. Besse and E. Sonnendrücker, 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

M. Bostan, The Vlasov???Maxwell System with Strong Initial Magnetic Field: Guiding-Center Approximation, Multiscale Modeling & Simulation, vol.6, issue.3, pp.1026-1058, 2007.
DOI : 10.1137/070689383
URL : https://hal.archives-ouvertes.fr/inria-00139665

C. Deboor, A practical guide to splines, Applied Mathematical Sciences, vol.27, 2001.

J. P. Braeunig, N. Crouseilles, M. Mehrenberger, and E. Sonnendrücker, Guiding-center simulations on curvilinear meshes, Discrete and Continuous Dynamical Systems Series S, 2012.

C. Caldini-queiros, Analyse mathématique et numérique de modèles gyrocinétiques , PhD, 2013.

F. Charles, B. Després, and M. Mehrenberger, Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation, SIAM Journal on Numerical Analysis, vol.51, issue.2, pp.840-863
DOI : 10.1137/110851511
URL : https://hal.archives-ouvertes.fr/hal-01437778

P. Colella, M. R. Dorrand, J. A. Hittinger, and D. F. Martin, 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

N. Crouseilles, P. Glanc, S. A. Hirstoaga, E. Madaule, M. Mehrenberger et al., A new fully two-dimensional conservative semi-Lagrangian method: applications on polar grids, from diocotron instability to ITG turbulence, The European Physical Journal D, vol.229, issue.9, p.977342
DOI : 10.1140/epjd/e2014-50180-9
URL : https://hal.archives-ouvertes.fr/hal-00977342

N. Crouseilles, M. Lemou, and F. Méhats, Asymptotic Preserving schemes for highly oscillatory Vlasov???Poisson equations, Journal of Computational Physics, vol.248, pp.287-308, 2013.
DOI : 10.1016/j.jcp.2013.04.022
URL : https://hal.archives-ouvertes.fr/hal-00845872

N. Crouseilles, M. Mehrenberger, and E. Sonnendrücker, 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

R. C. Davidson, Physics of non neutral plasmas, 1990.

F. Filbet and C. Yang, Conservative and non-conservative methods based on Hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations, Journal of Computational Physics, vol.279, pp.18-36, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00918077

F. Filbet and C. Yang, Mixed semi-Lagrangian/finite difference methods for plasma simulations
URL : https://hal.archives-ouvertes.fr/hal-01068223

E. Frénod, S. Hirstoaga, M. Lutz, and E. Sonnendrücker, Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field, Communications in Computational Physics, accepted, preprint version at https://hal.archives-ouvertes, p.974028, 2014.

N. Fujimatsu and K. Suzuki, New interpolation technique for the CIP method on curvilinear coordinates, Journal of Computational Physics, vol.229, issue.16, pp.5573-5596, 2010.
DOI : 10.1016/j.jcp.2010.03.039

V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet et al., 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

A. Hamiaz, M. Mehrenberger, H. Sellama, and E. , Sonnendrücker The semi-Lagrangian method on curvilinear grids

. Jorek-django, a new finite element framework for computational plasma physics

M. Mehrenberger, M. Bergot, V. Grandgirard, G. Latu, H. Sellama et al., Sonnendrücker Conservative Semi-Lagrangian solvers on mapped meshes, p.759823

M. Mehrenberger, L. Mendoza, C. Prouveur, and E. Sonnendrücker, Solving the guiding-center model on a regular hexagonal mesh, submitted to proceedings of CEMRACS'2014, preprint version at https

L. Mendoza, E. Sonnendrücker, and V. , Grandgirard Solving the Vlasov equation using the semi-Lagrangian method on multiple patches for the GY- SELA code, HEPP Colloquium at, 2013.

J. Pétri, Non-linear evolution of the diocotron instability in a pulsar electrosphere: 2D PIC simulations, Astronomy & Astrophysics, 2009.

M. Shoucri, Comment on Three-dimensional stability of drift vortices, Phys. Plasmas Phys. Plasmas, vol.33, issue.160 11, 1996.

M. Shoucri, 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, pp.1525-1538, 1981.
DOI : 10.1002/nme.1620171007

E. Sonnendrücker, Numerical Methods for the Vlasov-Maxwell equations

E. Sonnendrücker, J. Roche, P. Bertrand, and A. Ghizzo, 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

M. Unser, A. Aldroubi, and M. Eden, Fast B-spline transforms for continuous image representation and interpolation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.3, pp.277-285, 1991.
DOI : 10.1109/34.75515