M. C. Pinto and M. Mehrenberger, Convergence of an adaptive semi-Lagrangian scheme for the Vlasov-Poisson system, Numerische Mathematik, vol.149, issue.2, pp.407-444, 2008.
DOI : 10.1007/s00211-007-0120-z
URL : https://hal.archives-ouvertes.fr/hal-00320364

S. Delpino and H. Jourdren, Arbitrary high-order schemes for linear advection and waves equations: application to hydrodynamics and aeroacoustic, Comptes Rendus Acad. Sciences, I, 2006.

S. , D. Pino, B. Després, P. Havé, H. Jourdren et al., 3D finite volume simulation of acoustic waves in the earth atmosphere, Comput. and Fluids, vol.38, issue.4, pp.765-777, 2009.

B. Després, Finite volume transport schemes, Numerische Mathematik, vol.12, issue.1, pp.529-556, 2008.
DOI : 10.1007/s00211-007-0128-4

B. Després, 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

M. Falcone, R. Ferretti, and T. Manfroni, OPTIMAL DISCRETIZATION STEPS IN SEMI???LAGRANGIAN APPROXIMATION OF FIRST???ORDER PDES, Numerical Methods for Viscosity Solutions and Applications, 1999.
DOI : 10.1142/9789812799807_0006

W. Hundsdorfer and J. Verwer, Numerical solution of time-dependent advection-diffusion-reaction equations, 2003.
DOI : 10.1007/978-3-662-09017-6

A. Iserles and G. Strang, The optimal accuracy of difference schemes, Transactions of the American Mathematical Society, vol.277, issue.2, pp.779-803, 1983.
DOI : 10.1090/S0002-9947-1983-0694388-9

N. Besse and M. 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, 2007.
DOI : 10.1090/S0025-5718-07-01912-6
URL : https://hal.archives-ouvertes.fr/hal-00594785

G. Meinardus, H. Morsche, and G. Walz, On the Chebyshev Norm of Polynomial B-Splines, Journal of Approximation Theory, vol.82, issue.1, pp.99-122, 1995.
DOI : 10.1006/jath.1995.1070

J. Schaeffer, Global existence of smooth solutions to the Vlasov poisson system in three dimensions Communications in Partial Differential Equations, pp.1313-1335, 1991.

L. Schumaker, Spline functions: basic theory, 2007.
DOI : 10.1017/CBO9780511618994

G. Strang, Trigonometric Polynomials and Difference Methods of Maximum Accuracy, Journal of Mathematics and Physics, vol.27, issue.1-4, pp.147-520, 1962.
DOI : 10.1002/sapm1962411147

V. Thomée, Stability of difference schemes in the maximum-norm, Journal of Differential Equations, vol.1, issue.3, pp.273-292, 1965.
DOI : 10.1016/0022-0396(65)90008-2

V. Thomée, P. Brenner, and L. Wahlbin, Besov spaces and applications to difference methods for initial value problems, Lecture Notes in Mathematics, vol.434, 1975.