Méthodes numériques pour des systèmes hyperboliques avec terme ...

Bibliographie
tel-00814182, version 1 - 16 Apr 2013
[77] D. Jette and A. Bielajew. Electron dose calculation using multiple-scattering theory :
Second-order multiple-scattering theory. Med. Phys., 16(5), 1989. 116
[78] G-S Jiang and C-W Shu. Efficient implementation of weighted ENO schemes. J. Comput.
Phys., 126(1) :202–228, 1996. 28, 70
[79] S. Jin. Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations.
SIAM J. Sci. Comp., 21 :441–454, 1999. 28, 58
[80] T. Khan and A. Thomas. On derivation of the radiative transfer equation and its
spherical harmonics approximation for scattering media with spatially varying refractive
indices. Clemson University Mathematical Sciences Technical Report, SC 29634-
0975(TR2004_12_KT), 2004. 25
[81] R. Koch, W. Krebs, S. Wittig, and R. Viskanta. The discrete ordinate quadrature schemes
for multidimensional radiative transfer. J. Quant. Spectrosc. Radiat. Transfer, 53 :353–372,
1995. 19
[82] T Krieger and O. A Sauer. Monte carlo- versus pencil-beam-/collapsed-cone- dose calculation
in a heterogeneous multi-layer phantom. Phys. Med. Biol., 2005. 116
[83] R. J. Kudchadker, J. A. Antolak, W. H. Morrison, P. F. Wong, and K. R. Hogstrom. Utilization
of custom electron bolus in head and neck radiotherapy. J. Appl. Clin. Med. Phys,
4 :321–333, 2003. 145
[84] E. W. Larsen and J. B. Keller. Asymptotic solution of neutron transport problems for small
mean free path. J. Math. Phys., 15 :75, 1974. 25
[85] M. Lemou and L. Mieussens. Time implicit schemes and fast approximations of the
Fokker-Planck-Landau equation. SIAM J. Sci. Comput., 27(3) :809–830, 2007. 27
[86] R. J. LeVeque. Finite volume methods for hyperbolic problems. Cambridge University
Press, 2002. 27, 121, 126
[87] C. D. Levermore. Relating Eddington factors to flux limiters. J. Quant. Spectrosc. Radiat.
Transfer, 31 :149–160, 1984. 22
[88] C. D. Levermore. Moment closure hierarchies for kinetic theories. J. Stat. Phys., 83 :1021–
1065, 1996. 26, 117
[89] X-D Liu, S. Osher, and T. Chan. Weighted essentially non-oscillatory schemes. J. Comput.
Phys., 115 :200–212, 1994. 28, 70
[90] F. Lörcher, G. Gassner, and C.-D. Munz. A Discontinuous Galerkin scheme based on a
space–time expansion. I. Inviscid compressible flow in one space dimension. J. Sci. Comput.,
32(2) :175–199, 2007. 28
[91] P. H. Maire. A high-order cell-centered lagrangian scheme for two-dimensional compressible
fluid flows on unstructured meshes. J. Comput. Phys., 228(7) :2391–2425, 2009. 29
[92] D. Mihalas and B. Weibel-Mihalas. Foundations of radiation hydrodynamics. Dover, 1999.
16
[93] M. F. Modest. Radiative Heat Transfer. Academic Press, 2nd edition, 1993. 16, 18
[94] S. Osher and C.W. Shu. Efficient implementation of essentially non-oscillatory shockcapturing
schemes. J. Comput. Phys., 77 :439–471, 1988. 70, 71
[95] G. C. Pomraning. The equations of radiation hydrodynamics. Pergamon Press, 1973. 26
[96] S. Rosseland. Theoretical Astrophysics : Atomic Theory and the Analysis of Stellar Atmospheres
and Envelopes. Clarendon Press, 1936. 25
[97] F. Salvat, J.M. Fernandez-Varea, and J. Sempau. PENELOPE-2008, A Code System for
Monte Carlo Simulation of Electron and Photon Transport. OECD, 2008. ISBN 978-92-
64-99066-1. 145
169