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Méthodes numériques pour des systèmes hyperboliques avec terme ...

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Bibliographie<br />

tel-00814182, version 1 - 16 Apr 2013<br />

[1] R. Abgrall, H. Deconinck, M. Ricchiuto, and N. Villedieu. On uniformly high-order<br />

accurate residual distribution schemes for advection-diffusion. J. Comput. Appl. Math,<br />

215(2) :547–556, 2008. 28<br />

[2] R. Abgrall, A. Larat, M. Ricchiuto, and C. Tavé. A simple construction of very high order<br />

non oscillatory compact schemes on unstructured meshes. Comp. & Fluids., 38(7) :1314–<br />

1323, 2009. 28, 70<br />

[3] R. Abgrall and M. Mezine. Construction of second order accurate monotone and stable<br />

residual distribution schemes for unsteady flow problems. J. Comput. Phys., 188 :16–55,<br />

2003. 28<br />

[4] A. Ahnesjö, M. Saxner, and A. Trepp. A pencil beam model for photon dose calculation.<br />

Med. Phys., 19(2), 1992. 116<br />

[5] E. Audusse, F. Bouchut, M.O. Bristeau, R. Klein, and B. Perthame. A fast and stable<br />

well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM J. Sci.<br />

Comp., 25 :2050–2065, 2004. 94<br />

[6] M. Ben-Artzi. The generalized riemann problem for reactive flows. J. Comput. Phys.,<br />

81 :70–101, 1989. 29<br />

[7] M. Ben-Artzi and A. Birman. Application of the Generalized Riemann Problem method to<br />

1-D compressible flows with material interfaces. J. Comput. Phys., 65(1) :170–178, 1986.<br />

29<br />

[8] M. Ben-Artzi and J. Falcovitz. GRP - An analytic approach to high-resolution upwind<br />

schemes for compressible fluid flow. Conference on Numerical Methods in Fluid Dynamics,<br />

218 :87–91, 1985. 29<br />

[9] M. Ben-Artzi and J. Falcovitz. Recent developments of the GRP method. JSME International<br />

Journal series B, 38(4) :497–517, 1995. 29<br />

[10] M. Ben-Artzi and J. Falcovitz. Generalized Riemann Problems in Computational Fluid<br />

Dynamics. Cambridge Monographs on Applied and Computational Mathematics, 2003. 29<br />

[11] M. Ben-Artzi, J. Li, and G. Warnecke. A direct Eulerian GRP scheme for compressible<br />

fluid flows. J. Comput. Phys., 218 :19–43, 2006. 29<br />

[12] C. Berthon. Stability of the MUSCL schemes for the Euler equations. Comm. Math. Sci.,<br />

3 :133–157, 2005. 126<br />

[13] C. Berthon. Robustness of MUSCL schemes for 2D unstructured meshes. J. Comput. Phys.,<br />

218 :495–509, 2006. 126<br />

[14] C. Berthon, P. Charrier, and B. Dubroca. An HLLC scheme to solve the M1 model of<br />

radiative transfer in two space dimensions. J. Sci. Comput., 31 :347–389, 2007. 93, 118<br />

[15] C. Berthon, J. Dubois, and R. Turpault. Numerical approximation of the M1 model. SMF<br />

Publication, Panoramas et Synthèses, 28 :55–86, 2009. 118<br />

165

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