A. Arnold, J. Carrillo, I. Gamba, and C. Shu, Low and high-field scaling limits for the Vlasov-and Wigner-Poisson-Fokker-Planck system, Transport Theory Statist, pp.121-153, 2001.

R. Belaouar, N. Crouseilles, P. Degond, and E. Sonnendrcker, An Asymptotically Stable Semi-Lagrangian scheme in??the Quasi-neutral Limit, Journal of Scientific Computing, vol.149, issue.3, pp.341-365, 2009.
DOI : 10.1007/s10915-009-9302-4
URL : https://hal.archives-ouvertes.fr/hal-00189383

M. Benoune, M. Lemou, and L. Mieussens, Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier???Stokes asymptotics, Journal of Computational Physics, vol.227, issue.8, pp.3781-3803, 2008.
DOI : 10.1016/j.jcp.2007.11.032

L. L. Bonilla and J. Soler, HIGH-FIELD LIMIT OF THE VLASOV???POISSON???FOKKER???PLANCK SYSTEM: A COMPARISON OF DIFFERENT PERTURBATION METHODS, Mathematical Models and Methods in Applied Sciences, vol.11, issue.08, p.7164
DOI : 10.1142/S0218202501001410

M. Bostan and T. Goudon, High-electric-field limit for the Vlasov???Maxwell???Fokker???Planck system, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.25, issue.6, pp.221-251, 2008.
DOI : 10.1016/j.anihpc.2008.07.004
URL : https://hal.archives-ouvertes.fr/hal-00594959

J. F. Bourgat, P. Letallec, B. Perthame, and Y. Qiu, Coupling Boltzmann and Euler equations without overlapping, Contemporary Mathematics, vol.157, pp.377-398, 1992.
DOI : 10.1090/conm/157/01439

C. Buet and S. Cordier, Numerical Analysis of Conservative and Entropy Schemes for the Fokker--Planck--Landau Equation, SIAM Journal on Numerical Analysis, vol.36, issue.3, pp.953-973, 1998.
DOI : 10.1137/S0036142997322102

N. Crouseilles, P. Degond, and M. Lemou, A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann???BGK equation, Journal of Computational Physics, vol.199, issue.2, pp.776-808, 2004.
DOI : 10.1016/j.jcp.2004.03.007
URL : https://hal.archives-ouvertes.fr/hal-00139687

N. Crouseilles, P. Degond, and M. Lemou, A hybrid kinetic???fluid model for solving the Vlasov???BGK equation, Journal of Computational Physics, vol.203, issue.2, pp.572-601, 2005.
DOI : 10.1016/j.jcp.2004.09.006
URL : https://hal.archives-ouvertes.fr/hal-00139686

P. Degond, F. Deluzet, L. Navoret, A. Sun, and M. Vignal, Asymptotic-Preserving Particle-In-Cell method for the Vlasov???Poisson system near quasineutrality, Journal of Computational Physics, vol.229, issue.16
DOI : 10.1016/j.jcp.2010.04.001
URL : https://hal.archives-ouvertes.fr/hal-00359356

P. Degond, J. Liu, and L. Mieussens, Macroscopic Fluid Models with Localized Kinetic Upscaling Effects, Multiscale Modeling & Simulation, vol.5, issue.3, pp.940-979, 2006.
DOI : 10.1137/060651574
URL : https://hal.archives-ouvertes.fr/hal-00362970

P. Degond and B. , An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory, Numerische Mathematik, vol.68, issue.2, pp.239-262, 1994.
DOI : 10.1007/s002110050059

R. Duclous, B. Dubroca, and F. Filbet, Analysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System
URL : https://hal.archives-ouvertes.fr/hal-00287630

F. Filbet and S. Jin, A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources, Journal of Computational Physics, vol.229, issue.20, pp.7625-7648, 2010.
DOI : 10.1016/j.jcp.2010.06.017
URL : https://hal.archives-ouvertes.fr/hal-00659668

F. Golse and A. Klar, A numerical method for computing asymptotic states and outgoing distributions for kinetic linear half-space problems, Journal of Statistical Physics, vol.44, issue.6, pp.1033-1061, 1995.
DOI : 10.1007/BF02179863

L. Gosse and G. Toscani, Asymptotic-preserving & well-balanced schemes for radiative transfer and the Rosseland approximation, Numerische Mathematik, vol.9, issue.2, pp.223-250, 2004.
DOI : 10.1007/s00211-004-0533-x

S. Jin, Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations, SIAM Journal on Scientific Computing, vol.21, issue.2, pp.441-454, 1999.
DOI : 10.1137/S1064827598334599

S. Jin and D. Levermore, The discrete-ordinate method in diffusive regimes, Transport Theory and Statistical Physics, vol.62, issue.5-6, pp.739-791, 1993.
DOI : 10.1016/0021-9991(87)90170-7

S. Jin and D. Levermore, Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms, Journal of Computational Physics, vol.126, issue.2, pp.449-467, 1996.
DOI : 10.1006/jcph.1996.0149

S. Jin, L. Pareschi, and G. Toscani, Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations, SIAM Journal on Numerical Analysis, vol.38, issue.3, pp.913-936, 2000.
DOI : 10.1137/S0036142998347978

S. Jin and Y. Shi, A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation, SIAM Journal on Scientific Computing, vol.31, issue.6, pp.4580-4606, 2010.
DOI : 10.1137/090756077

A. Klar, Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor Equations, SIAM Journal on Scientific Computing, vol.19, issue.6, pp.2032-2050, 1998.
DOI : 10.1137/S1064827595286177

A. Klar, An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit, SIAM Journal on Numerical Analysis, vol.35, issue.3, pp.1073-1094, 1998.
DOI : 10.1137/S0036142996305558

A. Klar, A Numerical Method for Kinetic Semiconductor Equations in the Drift-Diffusion Limit, SIAM Journal on Scientific Computing, vol.20, issue.5, pp.1696-1712, 1999.
DOI : 10.1137/S1064827597319258

A. Klar and C. Schmeiser, NUMERICAL PASSAGE FROM RADIATIVE HEAT TRANSFER TO NONLINEAR DIFFUSION MODELS, Mathematical Models and Methods in Applied Sciences, vol.11, issue.05, pp.749-767, 2001.
DOI : 10.1142/S0218202501001082

A. Klar and A. Unterreiter, Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes, SIAM Journal on Numerical Analysis, vol.40, issue.3, pp.891-913, 2001.
DOI : 10.1137/S0036142900375700

M. Lemou, Relaxed micro???macro schemes for kinetic equations, Comptes Rendus Mathematique, vol.348, issue.7-8, pp.455-460, 2010.
DOI : 10.1016/j.crma.2010.02.017
URL : https://hal.archives-ouvertes.fr/hal-00521523

M. Lemou and L. Mieussens, A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit, SIAM Journal on Scientific Computing, vol.31, issue.1, pp.334-368, 2008.
DOI : 10.1137/07069479X
URL : https://hal.archives-ouvertes.fr/hal-00348594

T. Liu and S. Yu, Boltzmann Equation: Micro-Macro Decompositions and Positivity of Shock Profiles, Communications in Mathematical Physics, vol.246, issue.1, p.133179, 2004.
DOI : 10.1007/s00220-003-1030-2

G. Naldi and L. Pareschi, Numerical schemes for kinetic equations in diffusive regimes, Applied Mathematics Letters, vol.11, issue.2, pp.29-35, 1998.
DOI : 10.1016/S0893-9659(98)00006-8

J. C. Mandal and S. M. Deshpande, Kinetic flux vector splitting for euler equations, Computers & Fluids, vol.23, issue.2, pp.447-478, 1994.
DOI : 10.1016/0045-7930(94)90050-7

J. Nieto, F. Poupaud, and J. Soler, High-Field Limit for the Vlasov-Poisson-Fokker-Planck System, Archive for Rational Mechanics and Analysis, vol.158, issue.1, pp.29-59, 2001.
DOI : 10.1007/s002050100139

F. Poupaud, Diffusion approximation of the linear semiconductor Boltzmann equation, J. Asympt. Anal, vol.4, pp.293-317, 1991.