]. P. Bibliography-[-abe06, A. Angelino, R. Bottino, and . Hatzky, On the definition of a kinetic equilibrium in global gyrokinetic simulations, Phys. Plasmas, vol.13, p.52304, 2006.

]. J. Abi12 and . Abiteboul, Turbulent and neoclassical toroidal momentum transport in tokamak plasmas . Thesis, 2012.

X. J. Abiteboul, V. Garbet, S. J. Grandgirard, . Allfrey, . Ph et al., Conservation equations and calculation of mean flows in gyrokinetics, Physics of Plasmas, vol.18, issue.8, p.18, 2011.
DOI : 10.1098/rsta.1915.0001

. J. Abiteboul, . Ph, V. Ghendrih, T. Grandgirard, G. Cartier-michaud et al., Turbulent momentum transport in core tokamak plasmas and penetration of scrape-off layer flows, Plasma Physics and Controlled Fusion, vol.55, issue.7, p.74001, 1990.
DOI : 10.1088/0741-3335/55/7/074001

E. [. Ahlberg, J. Nilson, and . Walsh, The Theory of Splines and Their Applications, 1967.

. [. Büchner, Vlasov code simulation Advanced Methods for Space Simulations, pp.23-46, 2007.

A. [. Biancalani, . Bottino, . Ph, D. Lauber, and . Zarzoso, Numerical validation of the electromagnetic gyrokinetic code NEMORB on global axisymmetric modes, Nuclear Fusion, vol.54, issue.10, p.104004, 2014.
DOI : 10.1088/0029-5515/54/10/104004

. Bcg-+-11-]-j-ph, N. Braeunig, V. Crouseilles, G. Grandgirard, M. Latu et al., Some numerical aspects of the conservative PSM scheme in a 4D drift-kinetic code, 2011.

]. J. Bcmg-+-15, . Bigot, V. Cartier-michaud, G. Grandgirard, . Latu et al., An approach to increase reliability of HPC simulation, application to the GYSELA5D code, CEMRACS 2014, volume submitted of ESAIM: Proc, 2015.

N. [. Braeunig, M. Crouseilles, E. Mehrenberger, and . Sonnendrücker, Guiding-center simulations on curvilinear meshes, Discrete and Continuous Dynamical Systems Series S, p.2012
DOI : 10.3934/dcdss.2012.5.271
URL : https://hal.archives-ouvertes.fr/hal-01298727

P. [. Barthelme, E. Ciarlet, and . Sonnendrücker, GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV???MAXWELL SIMULATIONS, Mathematical Models and Methods in Applied Sciences, vol.17, issue.05, pp.657-680, 2007.
DOI : 10.1016/0010-4655(92)90169-Y

]. J. Bgl-+-13, V. Bigot, G. Grandgirard, . Latu, . Ch et al., Scaling gysela code beyond 32K-cores on bluegene A semi-lagrangian code for nonlinear global simulations of electrostatic drift-kinetic ITG modes, CEMRACS 2012, pp.1-21, 2004.

. Bgtk-+-11-]-l, S. Bautista-gomez, D. Tsuboi, F. Komatitsch, N. Cappello et al., FTI: high performance fault tolerance interface for hybrid systems, Proceedings Int. Conf. High Performance Computing, Networking, Storage and Analysis (SC11), pp.171-203, 2011.

T. [. Brizard and . Hahm, Foundations of nonlinear gyrokinetic theory, Reviews of Modern Physics, vol.108, issue.2, pp.421-468, 2007.
DOI : 10.1063/1.859070

A. [. Birdsall and . Langdon, Plasma physics via computer simulation, 1985.
DOI : 10.1887/0750301171

M. [. Besse and . Mehrenberger, 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

]. A. Bph-+-07, A. G. Bottino, R. Peeters, S. Hatzky, B. F. Jolliet et al., Nonlinear low noise particle-in-cell simulations of electron temperature gradient driven turbulence, Phys. Plasmas, vol.14, issue.1, p.10701, 2007.

]. A. Bri10 and . Brizard, Noether derivation of exact conservation laws for dissipationless reducedfluid models, Phys. Plasmas, vol.17, issue.11, p.112503, 2010.

]. A. Bsb-+-10, B. Bottino, S. Scott, B. F. Brunner, T. M. Mcmillan et al., Global nonlinear electromagnetic simulations of Tokamak turbulence Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations, Plasma Science IEEE Transactions on Phys. Plasmas, vol.38, issue.98, pp.2129-2135, 2010.

]. F. Cap09 and . Cappello, Fault tolerance in petascale/exascale systems: Current knowledge, challenges and research opportunities, Int. J. High Perform. Comput. Appl, vol.23, issue.3, pp.212-226, 2009.

G. [. Cheng and . Knorr, The integration of the Vlasov equation in configuration spaces, J. Comput. Phys, issue.22, pp.330-351, 1976.

S. [. Chang and . Ku, Spontaneous rotation sources in a quiescent tokamak edge plasma, Physics of Plasmas, vol.15, issue.6, p.62510, 2008.
DOI : 10.1063/1.873273

. S. Ckd-+-09-]-c, S. Chang, P. H. Ku, Z. Diamond, S. Lin et al., Compressed ion temperature gradient turbulence in diverted tokamak edge, Phys. Plasmas, issue.5, p.5610816, 2009.

G. [. Crouseilles, E. Latu, and . Sonnendrücker, Hermite splines interpolation on patches for a parallel solving of the Vlasov-Poisson equation, Internal Journal of Applied Mathematics and Computer Science, vol.17, issue.3, pp.335-349, 2007.

[. Crouseilles, G. Latu, and E. Sonnendrücker, A parallel Vlasov solver based on local cubic spline interpolation on patches, Journal of Computational Physics, vol.228, issue.5, pp.1429-1446, 2009.
DOI : 10.1016/j.jcp.2008.10.041
URL : https://hal.archives-ouvertes.fr/hal-00771580

]. N. Cms10a, M. Crouseilles, H. Mehrenberger, and . Sellama, Numerical solution of the gyroaverage operator for the finite gyroradius guiding-center model Conservative semi-Lagrangian schemes for Vlasov equations, CMS10b] N. Crouseilles, M. Mehrenberger, and E. Sonnendrücker, pp.1927-1953, 2010.

[. Crouseilles, T. Respaud, and E. Sonnendrüker, A forward semi-Lagrangian method for the numerical solution of the Vlasov equation, Computer Physics Communications, vol.180, issue.10, pp.1801730-1745, 2009.
DOI : 10.1016/j.cpc.2009.04.024
URL : https://hal.archives-ouvertes.fr/inria-00339543

[. Crouseilles, A. Ratnani, and E. Sonnendrücker, An Isogeometric Analysis approach for the study of the gyrokinetic quasi-neutrality equation, Journal of Computational Physics, vol.231, issue.2, pp.373-393, 2012.
DOI : 10.1016/j.jcp.2011.09.004
URL : https://hal.archives-ouvertes.fr/inria-00584672

]. J. Cw03a, R. E. Candy, and . Waltz, Anomalous transport scaling in the DIII-D Tokamak matched by supercomputer simulation, Phys. Rev. Lett, vol.91, p.45001, 2003.

]. J. Cw03b, R. E. Candy, and . Waltz, An Eulerian gyrokinetic-Maxwell solver, J. Comput. Phys, vol.186, issue.2, pp.545-581, 2003.

R. [. Candy, W. Waltz, and . Dorland, The local limit of global gyrokinetic simulations, Physics of Plasmas, vol.11, issue.5, pp.25-28, 2004.
DOI : 10.1103/PhysRevLett.91.045001

A. M. Dimits, G. Bateman, M. A. Beer, B. I. Cohen, W. Dorland et al., Comparisons and physics basis of tokamak transport models and turbulence simulations, Physics of Plasmas, vol.43, issue.3, pp.969-983, 2000.
DOI : 10.1103/PhysRevLett.83.3645

]. C. Deb01 and . Deboor, A practical guide to splines, 2001.

G. Depret, X. Garbet, P. Bertrand, and A. Ghizzo, Trapped-ion driven turbulence in tokamak plasmas, Plasma Physics and Controlled Fusion, vol.42, issue.9, pp.949-971, 2000.
DOI : 10.1088/0741-3335/42/9/302

G. Darmet, . Ph, Y. Ghendrih, X. Sarazin, V. Garbet et al., Intermittency in flux driven kinetic simulations of trapped ion turbulence, The Second International Workshop on the Theory and Applications of the Vlasov Equation, pp.53-58, 2006.
DOI : 10.1016/j.cnsns.2007.05.024

W. [. D-'haeseleer, J. D. Hitchon, J. L. Callen, and . Shohet, Flux Coordinates and Magnetic Structure, A Guide to a Fundamental Tool of Plasma Theory, 1991.

F. [. Dorland, M. Jenko, B. N. Kotschenreuther, and . Rogers, Electron Temperature Gradient Turbulence, Physical Review Letters, vol.2, issue.26, pp.5579-5582, 2000.
DOI : 10.1063/1.859313

E. Richard, M. Denton, and . Kotschenreuther, [delta]f algorithm, Journal of Computational Physics, vol.119, issue.2, pp.283-294, 1995.

K. Shi, W. Ida, H. Solomon, S. S. Jhang, S. Kim et al., An overview of intrinsic torque and momentum transport bifurcations in toroidal plasmas, Nuclear Fusion, vol.53, p.104019, 2013.

. Dpdg-+-11-]-g, P. H. Dif-pradalier, V. Diamond, Y. Grandgirard, J. Sarazin et al., Neoclassical physics in full distribution function gyrokinetics, Phys. Plasmas, issue.6, p.18, 2011.

. Dpgs-+-08a-]-g, V. Dif-pradalier, Y. Grandgirard, X. Sarazin, P. Garbet et al., Defining an equilibrium state in global full-f gyrokinetic models, The Second International Workshop on the Theory and Applications of the Vlasov Equation, pp.65-71, 2006.

. Dpgs-+-08b-]-g, V. Dif-pradalier, Y. Grandgirard, X. Sarazin, . Garbet et al., On the influence of initial state on gyrokinetic simulations, Phys. Plasmas, vol.15, issue.4, 2008.

. Dpgs-+-09-]-g, V. Dif-pradalier, Y. Grandgirard, X. Sarazin, P. Garbet et al., Interplay between gyrokinetic turbulence, flows, and collisions: Perspectives on transport and poloidal rotation, Phys. Rev. Lett, vol.103, p.65002, 2009.

. Dphg-+-15-]-g, G. Dif-pradalier, . Hornung, . Ph, Y. Ghendrih et al., Finding the elusive ExB staircase in magnetised plasmas, Dur98] D. R. Durran. Numerical Methods for Wave Equations in Geophysical Fluid Dynamics, p.85004, 1998.

T. [. Dimits, J. A. Williams, B. I. Byers, and . Cohen, Scalings of Ion-Temperature-Gradient-Driven Anomalous Transport in Tokamaks, Physical Review Letters, vol.35, issue.1, pp.71-74, 1996.
DOI : 10.1088/0029-5515/35/1/I02

]. D. Egs-+-15, X. Estève, Y. Garbet, V. Sarazin, T. Grandgirard et al., A multi-species collisional operator for full-f gyrokinetics, Phys. Plasmas, issue.22, p.122506, 2015.

P. [. Feix and . Bertrand, A Universal Model: The Vlasov Equation, Transport Theory and Statistical Physics, vol.9, issue.1-2, pp.7-62, 2005.
DOI : 10.1109/16.24341
URL : https://hal.archives-ouvertes.fr/in2p3-00025218

. L. Fsa-+-08-]-g, B. D. Falchetto, P. Scott, A. Angelino, T. Bottino et al., The European turbulence code benchmarking effort: turbulence driven by thermal gradients in magnetically confined plasmas, Plasma Physics and Controlled Fusion, issue.12, p.50124015, 2008.

E. [. Filbet, P. Sonnendrücker, and . Bertrand, 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

]. G. Fu08 and . Fu, Energetic-Particle-Induced Geodesic Acoustic Mode, Phys. Rev. Lett, vol.101, p.185002, 2008.

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

. Gdpn-+-09-]-x, G. Garbet, C. Dif-pradalier, Y. Nguyen, V. Sarazin et al., Neoclassical equilibrium in gyrokinetic simulations, Phys. Plasmas, issue.6, p.16, 2009.

. Ges-+-13-]-x, D. Garbet, Y. Esteve, J. Sarazin, C. Abiteboul et al., Turbulent acceleration and heating in toroidal magnetized plasmas, Phys. Plasmas, issue.7, pp.20-2013

Y. [. Garbet, L. Idomura, T. H. Villard, and . Watanabe, Gyrokinetic simulations of turbulent transport, Nuclear Fusion, vol.50, issue.4, p.43002, 2010.
DOI : 10.1088/0029-5515/50/4/043002

B. Goerler, X. Lapillonne, S. Brunner, T. Dannert, F. Jenko et al., Flux- and gradient-driven global gyrokinetic simulation of tokamak turbulence, Physics of Plasmas, vol.18, issue.5, p.56103, 2011.
DOI : 10.1103/PhysRevLett.94.105002

Y. [. Grandgirard and . Sarazin, Gyrokinetic simulations of magnetic fusion plasmas. Panoramas et synthèses, pp.39-4091, 2013.

. Gsa-+-07-]-v, Y. Grandgirard, P. Sarazin, A. Angelino, N. Bottino et al., Global full-f gyrokinetic simulations of plasma turbulence. Plasma Physics and Controlled Fusion, pp.49-173, 2007.

V. Grandgirard, Y. Sarazin, X. Garbet, G. Dif-pradalier, . Ph et al., Computing ITG turbulence with a full-f semi-Lagrangian code, The Second International Workshop on the Theory and Applications of the Vlasov Equation, pp.81-87, 2006.
DOI : 10.1016/j.cnsns.2007.05.016
URL : https://hal.archives-ouvertes.fr/hal-00141419

. Gth-+-16-]-t, N. Goerler, W. Tronko, R. Hornsby, C. Kleiber et al., Intercode comparison of gyrokinetic global electromagnetic modes, Phys. Plasmas, p.2016

[. Girardo, D. Zarzoso, R. Dumont, X. Garbet, Y. Sarazin et al., Relation between energetic and standard geodesic acoustic modes, Physics of Plasmas, vol.21, issue.9, p.2014, 92507.
DOI : 10.1063/1.3447879
URL : http://pubman.mpdl.mpg.de/pubman/item/escidoc:2028827/component/escidoc:2060378/girardo_relation.pdf

. A. Hkks-+-01-]-j, T. P. Heikkinen, T. Kiviniemi, A. G. Kurki-suonio, S. K. Peeters et al., Particle simulation of the neoclassical plasmas, J. Comput. Phys, vol.173, issue.2, pp.527-548, 2001.

. Hornsby, . Migliano, . Buchholz, F. J. Zarzoso, . Casson et al., On seed island generation and the non-linear self-consistent interaction of the tearing mode With electromagnetic gyro-kinetic turbulence, Plasma Physics and Controlled Fusion, vol.57, issue.5, p.54018, 2015.
DOI : 10.1088/0741-3335/57/5/054018

M. [. Hariri and . Ottaviani, A flux-coordinate independent field-aligned approach to plasma turbulence simulations, Computer Physics Communications, vol.184, issue.11, pp.2419-2429, 2013.
DOI : 10.1016/j.cpc.2013.06.005

F. [. Hammett and . Perkins, Fluid moment models for Landau damping with application to the ion-temperature-gradient instability, Physical Review Letters, vol.34, issue.25, pp.3019-3022, 1990.
DOI : 10.1063/1.859197

M. [. Hinton and . Rosenbluth, Dynamics of axisymmetric ExB and poloidal flows in tokamaks, Plasma Phys. Control Fusion, p.41, 1999.

D. [. Helander and . Sigmar, Collisional Transport in Magnetized Plasmas. Cambridge Monographs on Plasma Physics, 2005.

. Htk-+-02-]-r, T. M. Hatzky, A. Tran, R. Konies, S. J. Kleiber et al., Energy conservation in a nonlinear gyrokinetic particle-in-cell code for ion-temperature-gradient-driven modes in theta-pinch geometry, Phys. Plasmas, vol.9, issue.3, pp.898-912, 2002.

R. [. Hinton and . Waltz, Gyrokinetic turbulent heating, Physics of Plasmas, vol.48, issue.10, p.102301, 2006.
DOI : 10.1103/PhysRevLett.87.055002

]. S. Ich92 and . Ichimaru, Statistical Plasma Physics, Volume I: Basic Principles (Frontiers in Physics) Basic Books, 1992.

Y. Idomura, gyrokinetic simulation over a confinement time, Physics of Plasmas, vol.21, issue.2, p.2014
DOI : 10.1063/1.3079076

M. Idomura, T. Ida, N. Kano, S. Aiba, and . Tokuda, Conservative global gyrokinetic toroidal full-f five-dimensional Vlasov simulation, Computer Physics Communications, vol.179, issue.6, pp.391-403, 2008.
DOI : 10.1016/j.cpc.2008.04.005

M. [. Idomura, S. Ida, L. Tokuda, and . Villard, New conservative gyrokinetic full-f Vlasov code and its comparison to gyrokinetic ??f particle-in-cell code, Journal of Computational Physics, vol.226, issue.1, pp.244-262, 2007.
DOI : 10.1016/j.jcp.2007.04.013

M. [. Idomura, S. Nakata, and . Jolliet, Progress of Full-<i>f</i> Gyrokinetic Simulation Toward Reactor Relevant Numerical Experiments, ITE99] ITER Physics Expert Group on Confinement. Chapter 2: Plasma confinement and transport, pp.3503028-392175, 1999.
DOI : 10.1585/pfr.9.3503028

S. [. Idomura, Y. Tokuda, M. Kishimoto, and . Wakatani, Gyrokinetic theory of drift waves in negative shear tokamaks, Nuclear Fusion, vol.41, issue.4, p.437, 2001.
DOI : 10.1088/0029-5515/41/4/308

[. Idomura, T. Watanabe, and H. Sugama, Kinetic simulations of turbulent fusion plasmas, Comptes Rendus Physique, vol.7, issue.6, pp.650-669, 2006.
DOI : 10.1016/j.crhy.2006.06.007

A. S. Jolliet, P. Bottino, R. Angelino, T. M. Hatzky, B. F. Tran et al., A global collisionless PIC code in magnetic coordinates, Computer Physics Communications, vol.177, issue.5, pp.177409-425, 2007.
DOI : 10.1016/j.cpc.2007.04.006

W. [. Jenko, M. Dorland, B. N. Kotschenreuther, and . Rogers, Massively parallel Vlasov simulation of electromagnetic drift-wave turbulence, Computer Physics Communications, vol.125, issue.1-3, pp.196-209, 2000.
DOI : 10.1016/S0010-4655(99)00489-0

J. A. Krommes, The Gyrokinetic Description of Microturbulence in Magnetized Plasmas, Annual Review of Fluid Mechanics, vol.44, issue.1, pp.175-201, 2012.
DOI : 10.1146/annurev-fluid-120710-101223

]. L. Lan36 and . Landau, The transport equation in the case of Coulomb interactions, Phys. Z. Sowj. Union, vol.10, 1936.

I. [. Lenard and . Bernstein, Plasma Oscillations with Diffusion in Velocity Space, Physical Review, vol.107, issue.5, 1958.
DOI : 10.1103/PhysRev.107.1

X. Lapillonne, S. Brunner, T. Dannert, S. Jolliet, A. Marinoni et al., Effects of geometry on linear and non-linear gyrokinetic simulations, and development of a global version of the GENE code, AIP Conference Proceedings, pp.289-294, 2008.
DOI : 10.1063/1.3033716

N. [. Latu, V. Crouseilles, and . Grandgirard, Parallel bottleneck in the Quasineutrality solver embedded in GYSELA, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00583689

N. [. Latu, V. Crouseilles, E. Grandgirard, and . Sonnendrücker, Gyrokinetic Semi-lagrangian Parallel Simulation Using a Hybrid OpenMP/MPI Programming, Recent Advances in Parallel Virtual Machine and Message Passing Interface, pp.356-364, 2007.
DOI : 10.1007/978-3-540-75416-9_48
URL : https://hal.archives-ouvertes.fr/hal-00605748

]. W. Lee83 and . Lee, Gyrokinetic approach in particle simulation, Physics of Fluids, vol.26, issue.2, pp.556-562, 1983.

. Lga-+-12-]-g, V. Latu, J. Grandgirard, M. Abiteboul, N. Bergot et al., Accuracy of unperturbed motion of particles in a gyrokinetic semi-lagrangian code, 2012.

. Lga-+-14-]-g, V. Latu, J. Grandgirard, N. Abiteboul, G. Crouseilles et al., Improving conservation properties of a 5D gyrokinetic semi-lagrangian code, The European Physical Journal D, issue.11, pp.68-2014

. Lgc-+-11-]-g, V. Latu, N. Grandgirard, R. Crouseilles, E. Belaouar et al., Some parallel algorithms for the Quasineutrality solver of GYSELA, 2011.

V. [. Latu, N. Grandgirard, G. Crouseilles, and . Dif-pradalier, Scalable Quasineutral Solver for Gyrokinetic Simulation, 2012.
DOI : 10.1007/978-3-642-31500-8_23
URL : https://hal.archives-ouvertes.fr/inria-00590561

]. Z. Lhl-+-98, T. S. Lin, W. W. Hahm, W. M. Lee, R. B. Tang et al., Turbulent transport reduction by Zonal Flows: Massively parallel simulations, Science, issue.5384, pp.2811835-1837, 1998.

. Lmg-+-10-]-x, B. F. Lapillonne, T. Mcmillan, S. Görler, T. Brunner et al., Nonlinear quasisteady state benchmark of global gyrokinetic codes, Physics of Plasmas, issue.11, p.17, 2010.

. F. Mjt-+-08-]-b, S. Mcmillan, T. M. Jolliet, L. Tran, A. Villard et al., Long global gyrokinetic simulations: Source terms and particle noise control, Physics of Plasmas, vol.15, issue.5, p.52308, 2008.

. F. Mjt-+-09-]-b, S. Mcmillan, T. M. Jolliet, L. Tran, A. Villard et al., Avalanchelike bursts in global gyrokinetic simulations, Phys. Plasmas, vol.16, issue.2, p.22310, 2009.

. F. Mlb-+-10-]-b, X. Mcmillan, S. Lapillonne, L. Brunner, S. Villard et al., System size effects on gyrokinetic turbulence, Phys. Rev. Lett, vol.105, p.155001, 2010.

E. [. Manheimer, W. M. Ott, and . Tang, Anomalous electron-ion energy exchange from the trapped electron mode, Physics of Fluids, vol.19, issue.5, p.806, 1977.
DOI : 10.1063/1.861437

E. [. Mehrenberger and . Violard, A Hermite-Type Adaptive Semi-Lagrangian Scheme, International Journal of Applied Mathematics and Computer Science, vol.1, issue.3, pp.329-334, 2007.
DOI : 10.2478/v10006-007-0027-y
URL : https://hal.archives-ouvertes.fr/inria-00110865

. Nfa-+-08-]-r, G. Y. Nazikian, M. E. Fu, H. L. Austin, R. V. Berk et al., Intense Geodesic Acousticlike Modes driven by suprathermal ions in a Tokamak plasma, Phys. Rev. Lett, vol.101, p.185001, 2008.

G. W. Nevins, A. M. Hammett, W. Dimits, D. E. Dorland, and . Shumaker, Discrete particle noise in particle-in-cell simulations of plasma microturbulence, Physics of Plasmas, vol.49, issue.12, p.12122305, 2005.
DOI : 10.1016/S0370-1573(01)00066-7

T. [. Nakamura and . Yabe, Cubic Interpolated Propagation scheme for solving the hyperdimensional Vlasov-Poisson equation in phase space, pp.122-154, 1999.

]. M. Ott11 and . Ottaviani, An alternative approach to field-aligned coordinates for plasma turbulence simulations, Physics Letters A, vol.375, issue.15, pp.1677-1685, 2011.

P. [. Parra and . Catto, Limitations of gyrokinetics on transport time scales, Plasma Physics and Controlled Fusion, vol.50, issue.6, p.65014, 2008.
DOI : 10.1088/0741-3335/50/6/065014

P. [. Parra and . Catto, Transport of momentum in full f gyrokinetics, Physics of Plasmas, vol.1, issue.5, p.56106, 2010.
DOI : 10.1063/1.2824376

[. Petrina, V. Gerasimenko, and P. V. Malyshev, Mathematical foundations of classical statistical mechanics: continuous system. Taylor and Francis inc., advanced studies in contemporary mathematics edition, 2002.

W. [. Parker and . Lee, A fully nonlinear characteristic method for gyrokinetic simulation, Physics of Fluids B: Plasma Physics, vol.36, issue.1, pp.77-86, 1993.
DOI : 10.1017/S0022377800014070

D. [. Peeters and . Strintzi, The effect of a uniform radial electric field on the toroidal ion temperature gradient mode, Physics of Plasmas, vol.11, issue.8, pp.113748-3751, 2004.
DOI : 10.1016/0010-4655(95)00035-E

F. [. Rosenbluth and . Hinton, Poloidal Flow Driven by Ion-Temperature-Gradient Turbulence in Tokamaks, Physical Review Letters, vol.4, issue.4, 1998.
DOI : 10.1063/1.872367

G. [. Rozar, J. Latu, V. Roman, and . Grandgirard, Toward memory scalability of GYSELA code for extreme scale computers. Concurrency and computation: Practice and Experience, pp.994-1009, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01111720

G. F. Rozar, C. Steiner, M. Latu, V. Mehrenberger, J. Grandgirard et al., Optimization of the Gyroaverage operator based on Hermite interpolation, CEMRACS 2014, volume submitted of ESAIM: Proc, 2015.
DOI : 10.1051/proc/201653012
URL : https://hal.archives-ouvertes.fr/hal-01261427

J. [. Staniforth and . Côté, Semi-Lagrangian Integration Schemes for Atmospheric Models???A Review, Monthly Weather Review, vol.119, issue.9, pp.2206-2223, 1991.
DOI : 10.1175/1520-0493(1991)119<2206:SLISFA>2.0.CO;2

M. Shimada, D. J. Campbell, V. Mukhovatov, M. Fujiwara, N. Kirneva et al., Chapter 1: Overview and summary, Nuclear Fusion, vol.47, issue.6, pp.47-48, 2007.
DOI : 10.1088/0029-5515/47/6/S01

V. [. Sydora, J. M. Decyk, and . Dawson, Fluctuation-induced heat transport results from a large global 3D toroidal particle simulation model, Plasma Physics and Controlled Fusion, vol.38, issue.12A, pp.38-281, 1996.
DOI : 10.1088/0741-3335/38/12A/021

G. Sarazin, D. Dif-pradalier, X. Zarzoso, . Garbet, . Ph et al., Entropy production and collisionless fluid closure, Plasma Physics and Controlled Fusion, vol.51, issue.11, p.51115003, 2009.
DOI : 10.1088/0741-3335/51/11/115003

G. [. Schroeder and . Gibson, A large-scale study of failures in High-Performance Computing systems, IEEE Transactions on Dependable and Secure Computing, vol.7, issue.4, 2010.

. Sga-+-10-]-y, V. Sarazin, J. Grandgirard, S. Abiteboul, X. Allfrey et al., Dif-Pradalier. Large scale dynamics in flux driven gyrokinetic turbulence, Nuclear Fusion, issue.5, p.50054004, 2010.

. Sga-+-11-]-y, V. Sarazin, J. Grandgirard, S. Abiteboul, X. Allfrey et al., Predictions on heat transport and plasma rotation from global gyrokinetic simulations, Nuclear Fusion, issue.10, p.51103023, 2011.

. Sarazin, G. Grandgirard, E. Dif-pradalier, . Fleurence, P. Garbet et al., Impact of large scale flows on turbulent transport, Plasma Physics and Controlled Fusion, issue.12B, pp.48-179, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00594858

. Sgdp-+-06b-]-y, V. Sarazin, G. Grandgirard, X. Dif-pradalier, P. Garbet et al., Interplay between transport barriers and density gradient, Phys. Plasmas, issue.9, p.13, 2006.

V. Sarazin, E. Grandgirard, X. Fleurence, . Garbet, . Ph et al., Kinetic features of interchange turbulence, Plasma Physics and Controlled Fusion, vol.47, issue.10, pp.471817-1840, 2005.
DOI : 10.1088/0741-3335/47/10/013

. Ch, M. Steiner, N. Mehrenberger, V. Crouseilles, G. Grandgirard et al., Gyroaverage operator for a polar mesh, The European Physical Journal D, vol.69, issue.1, p.18, 2015.

J. [. Sonnendrücker, P. Roche, A. Bertrand, and . 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

]. A. Ssz-+-13b, Y. Strugarek, D. Sarazin, J. Zarzoso, A. S. Abiteboul et al., Unraveling quasiperiodic relaxations of transport barriers with gyrokinetic simulations of tokamak plasmas, Phys. Rev. Lett, vol.111, p.145001, 2013.

]. G. Str68 and . Strang, On the construction and comparison of difference schemes, SIAM J. Numer. Anal, vol.5, pp.506-517, 1968.

T. [. Sugama, O. Watanabe, J. Thomine, V. Bigot, G. Grandgirard et al., Collisionless damping of Zonal Flows in helical systems An asynchronous writing method for restart files in the GYSELA code in prevision of exascale systems, CEMRACS 2012 ESAIM: Proc, pp.108-116, 2006.

P. W. Terry, M. Greenwald, J. Leboeuf, G. R. Mckee, D. R. Mikkelsen et al., Task Group on Verification Validation, U.S. Burning Plasma Organization, and U.S. Transport Task Force. Validation in fusion research: Towards guidelines and best practices, Phys. Plasmas, issue.6, p.15062503, 2008.

J. Villasenor and O. Buneman, Rigorous charge conservation for local electromagnetic field solvers, Computer Physics Communications, vol.69, issue.2-3, pp.306-316, 1992.
DOI : 10.1016/0010-4655(92)90169-Y

T. Tran and . Vernay, Gyrokinetic simulations of turbulent transport: size scaling and chaotic behaviour, Plasma Physics and Controlled Fusion, vol.52, issue.12, p.124038, 2010.

]. C. Viled and . Villani, Landau damping. SMF, panoramas et synthèses edition

T. S. Wang, W. W. Hahm, G. Lee, J. Rewoldt, W. M. Manickam et al., Nonlocal properties of gyrokinetic turbulence and the role of ExB flow shear, Phys. Plasmas, issue.7, p.14072306, 2007.

G. [. Waltz and . Staebler, Gyrokinetic theory and simulation of turbulent energy exchange, Physics of Plasmas, vol.48, issue.1, p.14505, 2008.
DOI : 10.1088/0029-5515/45/7/023

. E. Wsd-+-97-]-r, G. M. Waltz, W. Staebler, G. W. Dorland, M. Hammett et al., A gyro-Landau-fluid transport model, Phys. Plasmas, vol.4, issue.7, pp.2482-2496, 1997.

Y. Xiao and P. J. Catto, Short wavelength effects on the collisionless neoclassical polarization and residual zonal flow leve, Phys. Plasmas, issue.10, p.13, 2006.

M. [. Xu and . Rosenbluth, Numerical simulation of Ion-Temperature-Gradientdriven modes, Physics of Fluids B: Plasma Physics, vol.3, 1991.

L. [. Zonca, R. A. Chen, and . Santoro, Kinetic theory of low-frequency Alfv??n modes in tokamaks, Plasma Physics and Controlled Fusion, vol.38, issue.11, p.2011, 1996.
DOI : 10.1088/0741-3335/38/11/011

]. D. Zgs-+-12, X. Zarzoso, Y. Garbet, R. Sarazin, V. Dumont et al., Fully kinetic description of the linear excitation and nonlinear saturation of fast-ion-driven geodesic acoustic mode instability, Phys. Plasmas, vol.19, issue.2, p.2012

]. D. Zsg-+-13, Y. Zarzoso, X. Sarazin, R. Garbet, A. Dumont et al., Impact of Energetic-Particle-Driven Geodesic Acoustic Modes on turbulence, Phys. Rev. Lett, vol.110, p.125002, 2013.

N. [. Zerroukat, A. Wood, and . Staniforth, SLICE: A Semi-Lagrangian Inherently Conserving and Efficient scheme for transport problems, Quarterly Journal of the Royal Meteorological Society, vol.31, issue.586, pp.2801-2820, 2002.
DOI : 10.1016/0021-9991(79)90051-2

N. [. Zerroukat, A. Wood, and . Staniforth, Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE), Journal of Computational Physics, vol.225, issue.1
DOI : 10.1016/j.jcp.2007.01.006

H. Amman, ?. Ordinary-differential-equations, and D. Gruyter, [4] A. Arakawa ? Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow, 1990.

T. D. Arber and &. R. , Vann ? A critical comparison of eulerian-grid-based vlasov solvers, J. Comput. Phys, issue.180, pp.339-357, 2002.

R. Barthelme, P. Ciarlet, and &. , GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV???MAXWELL SIMULATIONS, Mathematical Models and Methods in Applied Sciences, vol.17, issue.05, pp.657-680, 2007.
DOI : 10.1016/0010-4655(92)90169-Y

H. L. Berk, B. N. Breizman, and &. , Numerical simulation of bump???on???tail instability with source and sink, Physics of Plasmas, vol.33, issue.8, pp.3007-3016, 1995.
DOI : 10.1063/1.870822

H. L. Berk, B. N. Breizman, and &. , Nonlinear Dynamics of a Driven Mode near Marginal Stability, Physical Review Letters, vol.35, issue.8, pp.1256-1259, 1968.
DOI : 10.1063/1.1761193

]. P. Beyer, S. Benkadda, X. Garbet, and &. P. , Nondiffusive Transport in Tokamaks: Three-Dimensional Structure of Bursts and the Role of Zonal Flows, 16] C. Birdsall & A. Langdon ? Plasma physics via computer simulation, pp.4892-4895, 1976.
DOI : 10.1103/PhysRevE.61.813

]. A. Bottino, A. G. Peeters, R. Hatzky, S. Jolliet, B. F. Mcmillan et al., Villard ? Nonlinear low noise particle-in-cell simulations of GYROKINETIC SIMULATIONS OF MAGNETIC FUSION PLASMAS 85 electron temperature gradient driven turbulence Peeters ? Global nonlinear electromagnetic simulations of tokamak turbulence, Plasma Science, Golse & M. Pulvirenti ? Kinetic equations and aymptotic theory22] J. P. Braeunig, N. Crouseilles, V. Grandgirard, G. Latu, M. Mehrenberger & E. Sonnendrücker ? Some numerical aspects of the conservative psm scheme in a 4d drift-kinetic code, pp.10701-2129, 2000.

A. Brizard, &. M. Brunetti, V. Grandgirard, O. Sauter, J. Vaclavik et al., Hahm ? Foundations of nonlinear gyrokinetic theory Villard ? A semi-lagrangian code for nonlinear global simulations of electrostatic drift-kinetic itg modes Fine-scale structure and negative-density regions: Comparison of numerical methods for solving the advection equation, Rev. Mod. Phys. Comp. Phys. Comm Transport Theory and Statistical Physics, vol.7925, issue.34, pp.421-468, 2004.

]. S. Brunner, E. Valeo, and &. J. , scheme with evolving background for transport time scale simulations, Physics of Plasmas, vol.34, issue.12, pp.4504-4521, 1999.
DOI : 10.1063/1.872962

J. Candy, R. E. Waltz, M. R. Fahey, and &. , Holland ? The effect of ionscale dynamics on electron-temperature-gradient turbulence, Plasma Phys Candy & R. Waltz ? An eulerian gyrokinetic-maxwell solver, Control. Fusion J. Comput. Phys, vol.49, issue.8 2, pp.186-545, 2003.

J. R. Cary and &. G. Littlejohn, Noncanonical hamiltonian mechanics and its application to magnetic field line flow Ku ? Spontaneous rotation sources in a quiescent tokamak edge plasma Samatova ? Compressed ion temperature gradient turbulence in diverted tokamak edge ? The integration of the vlasov equation in configuration spaces, Annals of Physics Phys. Plasmas Phys. Plasmas J. Comput. Phys, vol.151, issue.056108 5 22, pp.1-34, 1976.

V. Grandgirard and Y. Sarazin, Puckett ? Modern numerical methods for fluid flow, Class Notes, university of California ? The piecewise parabolic method (ppm) for gas-dynamical simulations, J. Comput. Phys, vol.54, issue.86 1, pp.174-201, 1984.

G. Darmet, P. Ghendrih, Y. Sarazin, and X. Garbet, Intermittency in flux driven kinetic simulations of trapped ion turbulence, 44] R. E. Denton & M. Kotschenreuther ? [delta]f algorithm, pp.53-58, 1995.
DOI : 10.1016/j.cnsns.2007.05.024

G. Depret, X. Garbet, P. Bertrand, and &. , Ghizzo ? Trapped-ion driven turbulence in tokamak plasmas ? Scalings of ion-temperaturegradient-driven anomalous transport in tokamaks, Kotschenreuther & B. Rogers ? Electron temperature gradient turbulence, pp.949-971, 1996.

G. L. Falchetto, B. D. Scott, P. Angelino, A. Bottino, T. Dannert et al., Romanelli ? The european turbulence code benchmarking effort: turbulence driven by thermal gradients in magnetically confined plasmas, Plasma Phys, Phys. Plasmas Control. Fusion, vol.13, issue.50 12, pp.92307-124015, 2006.

M. R. Feix and &. , A Universal Model: The Vlasov Equation, Transport Theory and Statistical Physics, vol.9, issue.1-2, pp.7-62, 1999.
DOI : 10.1109/16.24341
URL : https://hal.archives-ouvertes.fr/in2p3-00025218

]. F. Filbet, E. Sonnendrücker, and &. , Bertrand ? Conservative numerical schemes for the vlasov equation, J. Comput. Phys, issue.172, pp.166-187, 2001.

. Sci, . Stat, X. Comput, G. Garbet, C. Dif-pradalier et al., Ghendrih ? Neoclassical equilibrium in gyrokinetic simulations simulations of turbulent transport Benkadda ? Flux driven turbulence in tokamaks Boulet ? Beyond scale separation in gyrokinetic turbulence Villard ? A drift-kinetic semi-lagrangian 4d code for ion turbulence simulation, 62] T. Görler & F. Jenko ? Scale separation between electron and ion thermal transport, pp.187-204, 1989.

]. V. Grandgirard, Y. Sarazin, P. Angelino, A. Bottino, N. Crouseilles et al., Villard ? Global full-f gyrokinetic simulations of plasma turbulence, Plasma Physics and Controlled Fusion ? Gyrokineticwater-bag modeling of low-frequency instabilities in a laboratory magnetized plasma column, Mehrenberger & E. Sonnendrücker ? Test of some numerical limiters for the conservative psm scheme for 4d drift-kinetic simulations, pp.7467-7468, 2007.

V. Grandgirard and Y. Sarazin, Perkins ? Fluid moment models for landau damping with application to the ion-temperature-gradient instability, Phys. Rev. Lett, vol.64, issue.25, pp.3019-3022, 1964.

]. A. Harten, B. Engquist, S. Osher, and &. S. , Chakravarthy ? Uniformly high-order accurate essentially non-oscillatory schemes, iii [70] A. Harten & S. Osher ? Uniformly high-order accurate non-oscillatory schemes, i, J. Comput. Phys. SIAM Journal on Numerical Analysis, issue.71 24, pp.231-303, 1987.

]. R. Hatzky, A. Könies, &. Hatzky, T. Tran, A. Konies et al., Mishchenko ? Electromagnetic gyrokinetic pic simulation with an adjustable control variates method Allfrey ? Energy conservation in a nonlinear gyrokinetic particle-in-cell code for ion-temperaturegradient-driven modes in theta-pinch geometry Sipilä ? Particle simulation of the neoclassical plasmas, Sonnendrücker & O. Coulaud ? Instability of the time splitting scheme for the one-dimensional and relativistic vlasov-maxwell system, pp.568-590, 2001.

S. Ida and &. Tokuda, Wakatani ? Gyrokinetic theory of drift waves in negative shear tokamaks [77] Y. Idomura, H. Urano, N. Aiba & S. Tokuda ? Study of ion turbulent transport and profile formations using global gyrokinetic full-f vlasov simulation Tokuda ? Conservative global gyrokinetic toroidal full-f five-dimensional vlasov simulation Sugama ? Kinetic simulations of turbulent fusion plasmas, Itoh & S.-I. Itoh ? Radial structure of fluctuation in electron itb plasmas of lhd, proceedings of the 23rd IAEA Fusion Energy Conference no. EXC, pp.244-262, 2001.

]. F. Jenko, W. Dorland, M. Kotschenreuther, and &. , Rogers ? Massively parallel vlasov simulation of electromagnetic drift-wave turbulence, pp.196-209, 2000.

?. Jolliet, S. Gyrokinetic, A. Jolliet, P. Bottino, R. Angelino et al., Villard ? A global collisionless pic code in magnetic coordinates Angelino ? Quasisteady and steady states in global gyrokinetic particle-in-cell simulations carlo methods (second, revised and enlarged edition ? Gyrokinetic water-bag modeling of a plasma column: Magnetic moment distribution and finite larmor radius effects ? A method for overcoming the velocity space filamentation problem in collisionless plasma model solutions Farrell ? A splitting algorithm for vlasov simulation with filamentation filtration, Rewoldt & W. M. Tang ? Comparison of initial value and eigenvalue codes for kinetic toroidal plasma instabilities, Comp. Phys. Comm, pp.409-425, 1987.

J. A. Krommes and &. , The role of dissipation in the theory and simulations of homogeneous plasma turbulence, and resolution of the entropy paradox, Physics of Plasmas, vol.34, issue.10, pp.3211-3238, 1994.
DOI : 10.1063/1.863905

]. X. Lapillonne, S. Brunner, T. Dannert, S. Jolliet, A. Marinoni et al., Merz ? Effects of geometry on linear and non-linear gyrokinetic simulations, and development of a global version of the gene code, AIP conference proceedings, pp.289-294, 2008.

G. Latu, N. Crouseilles, V. Grandgirard, and &. , Sonnendrücker ? Gyrokinetic simulations in general geometry and applications to collisional damping of zonal flows, Recent Advances in Parallel Virtual Machine and MPI 4757, 94] W. W. Lee ? Gyrokinetic approach in particle simulation, pp.356-364, 1983.

V. Grandgirard, Y. Sarazin-lin, T. S. Hahm, W. W. Lee, W. M. Tang et al., White ? Turbulent transport reduction by zonal flows: Massively parallel simulations, Science, vol.281, issue.5384, pp.1835-1837, 1998.

B. F. Mcmillan, S. Jolliet, T. M. Tran, L. Villard, A. Bottino et al., Angelino ? Long global gyrokinetic simulations: Source terms and particle noise control Avalanchelike bursts in global gyrokinetic simulations [102] F. Merz ? Gyrokinetic simulation of multimode plasma turbulence, Thesis modeling: A multi-water-bag approach, V. Vasilyev & P. Moin ? Fully conservative higher order finite difference schemes for incompressible flow, pp.52308-022310, 1998.

]. T. Nakamura, R. Tanaka, T. Yabe, and &. , 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

W. M. Nevins, J. Candy, S. Cowley, T. Dannert, A. Dimits et al., Characterizing electron temperature gradient turbulence via numerical simulation, Physics of Plasmas, vol.13, issue.12, p.122306, 2006.
DOI : 10.1088/0029-5515/44/4/005
URL : https://digital.library.unt.edu/ark:/67531/metadc889422/m2/1/high_res_d/900467.pdf

. Shumaker, Discrete particle noise in particle-in-cell simulations of plasma microturbulence Lee ? A fully nonlinear characteristic method for gyrokinetic simulation, Phys. Plasmas Phys. Fluids B, vol.12, issue.5 1, pp.122305-77, 1993.

D. Petrina, V. Gerasimenko, &. Sarazin, V. Grandgirard, J. Abiteboul et al., Jenko ? On the role of numerical dissipation in gyrokinetic vlasov simulations of plasma microturbulence ? Solution of the advective equation by upstream interpolation with a cubic spline Christlieb ? A conservative high order semi-lagrangian weno method for the vlasov equation ? Turbulent acceleration of superthermal electrons ? Entropy production and collisionless fluid closure, Plasma Phys Dif-Pradalier ? Large scale dynamics in flux driven gyrokinetic turbulence, Malyshev ? Mathematical foundations of classical statistical mechanics: continuous system. [116] J.-M. Qiu & A. [122] H. Schmitz & R. Grauer ? Darwin-vlasov simulations of magnetised plasmas, pp.1428-1437, 1976.

M. M. Shoucri and &. R. , Splitting schemes for the numerical solution of a two-dimensional Vlasov equation, Journal of Computational Physics, vol.27, issue.3, pp.315-322, 1978.
DOI : 10.1016/0021-9991(78)90013-X

]. E. Sonnendrücker, J. Roche, P. Bertrand, and &. , Ghizzo ? The semilagrangian method for the numerical resolution of vlasov equation [127] A. Staniforth & J. Côté ? Semi-lagrangian integration schemes for atmospheric models -a review, J. Comput. Phys. Monthly Weather Review, vol.149, issue.2 119, pp.201-220, 1991.

G. and Y. Sarazin, [129] R. Sydora, V. Decyk & J. Dawson ? Fluctuation-induced heat transport results from a large global 3d toroidal particle simulation model, Plasma Phys ? Cubic interpolated pseudoparticle method (cip) for solving hyperbolic-type equations, J. Numer. Anal. Control . Fusion J. Comput. Phys, vol.5, issue.38 12A 2, pp.506-517, 1968.

]. K. Takizawa, T. Yabe, and &. , Nakamura ? Multi-dimensional semi-lagrangian scheme that guarantees exact conservation [132] W. Tang & V. Chan ? Advances and challenges in computational plasma science Staniforth ? An efficient two-time-level semilagrangian semi-implicit integration scheme, Comp. Phys. Comm Plasma Physics and Controlled Fusion Quarterly Journal of the Royal Meteorological Society, vol.148, issue.113 477, pp.137-159, 1987.
DOI : 10.1016/s0010-4655(02)00472-1

P. W. Terry, M. Greenwald, J. Leboeuf, G. R. Mckee, D. R. Mikkelsen et al., on Verification Validation Force ? Validation in fusion research: Towards guidelines and best practices, 062503. [135] K. Toda, Y. Ogata & T. Yabe ? Multi-dimensional conservative semilagrangian method of characteristics cip for the shallow water equations, J. Comput, 2008.

. Phys, Sato ? A nondissipative simulation method for the drift kinetic equation Ashour-abdalla & D. Schriver ? Comparison of numerical interpolation schemes for one-dimensional electrostatic vlasov code, J. Phys. Soc. Japan Journal of Plasma Physics, vol.228, issue.72 06, pp.4917-4944, 2001.

]. T. Utsumi, T. Kunugi, and &. , A numerical method for solving the one-dimensional Vlasov???Poisson equation in phase space, Computer Physics Communications, vol.108, issue.2-3, pp.159-179, 1998.
DOI : 10.1016/S0010-4655(97)00119-7

]. L. Villard, S. Allfrey, A. Bottino, M. Brunetti, G. Falchetto et al., flows, trapped electrons and finite beta, Sarazin, T. M. Tran & T. Vernay ? Gyrokinetic simulations of turbulent transport: size scaling and chaotic behaviour, Plasma Phys, pp.172-124038, 2003.
DOI : 10.1088/0029-5515/44/1/019

J. Villasenor, &. R. Waltz, G. M. Staebler, W. Dorland, G. W. Hammett et al., Konings ? A gyro-landau-fluid transport model Tang ? Nonlocal properties of gyrokinetic turbulence and the role of [bold e] x [bold b] flow shear Sugama ? Velocity-space structures of distribution function in toroidal ion temperature gradient turbulence Sugama ? Kinetic simulation of a quasisteady state in collisionless ion temperature gradient driven turbulence, Computer Physics Communications Phys. Plasmas Phys. Plasmas Nuclear Fusion Phys. Plasmas, vol.69150, issue.9 9, pp.306-316, 1992.

L. Haye, &. R. T151-]-f, T. Xiao, and &. Yabe, Ito ? Constructing oscillation preventing scheme for advection equation by rational function Ito ? Constructing a multi-dimensional oscillation preventing scheme for the advection equation by a rational function, Phys. Rev. Lett. Comp. Phys. Comm Comp. Phys. Comm, vol.85, issue.94 2-3 1 3, pp.996-999, 1991.

]. T. Yabe, T. Ishikawa, P. Y. Wang, T. Aoki, Y. Kadota et al., A universal solver for hyperbolic equations by cubicpolynomial interpolation 1. one-dimensional solver Ikeda ? A universal solver for hyperbolic equations by cubic-polynomial interpolation 2. two-and three-dimensional solvers Xiao ? An exactly conservative semi-lagrangian scheme (cipcsl) in one dimension, Comp. Phys. Comm Comp. Phys. Comm Monthly Weather Review, vol.66, issue.129 2, pp.219-232, 1991.

]. T. Yabe, F. Xiao, and &. , The Constrained Interpolation Profile Method for Multiphase Analysis, Journal of Computational Physics, vol.169, issue.2, pp.556-593, 1988.
DOI : 10.1006/jcph.2000.6625

V. Grandgirard, Y. S. Sarazin159, L. Zaki, and &. Gardner, Boyd ? A finite element code for the simulation of one-dimensional vlasov plasmas. i. theory [160] M. Zerroukat, N. Wood & A. Staniforth ? A monotonic and positivedefinite filter for a semi-lagrangian inherently conserving and efficient (slice) scheme The parabolic spline method (psm) for conservative transport problems Staniforth ? Application of the parabolic spline method (psm) to a multi-dimensional conservative semi-lagrangian transport scheme (slice, J. Comput. Phys. Quarterly Journal of the Royal Meteorological Society International Journal for Numerical Methods in Fluids J. Comput. Phys, vol.79161, issue.51 11 1, pp.184-199, 1988.

V. Grandgirard, Y. Sarazin, C. /. Dsm, and . Irfm, Association Euratom- CEA, Cadarache, 13108 St Paul-lez-Durance