Numerical methods for hyperbolic and kinetic problems. CEMRACS 2003, summer research center in mathematics and advances in scientific computing, July 21 -- August 29, 2003, CIRM, Marseille, France. (Q1779146)

The articles of this volume will be reviewed individually. Publisher's description: Hyperbolic and kinetic equations arise in a large variety of industrial problems. For this reason, the CEMRACS summer research center held at CIRM in Luminy in 2003 was devoted to this topic. During a six-week period, junior and senior researchers worked full time on several projects proposed by industry and academia. Most of this work was completed later on, and the results are now reported in the present book. The articles address modelling issues as well as the development and comparisons of numerical methods in different situations. The applications include multi-phase flows, plasma physics, quantum particle dynamics, radiative transfer, sprays and aeroacoustics. The text is aimed at researchers and engineers interested in modelling and numerical simulation of hyperbolic and kinetic problems arising from applications. Indexed articles: \textit{Barthelmé, R.; Parzani, C.}, Numerical charge conservation in particle-in-cell codes, 7-28 [Zbl 1210.65179] \textit{Chehab, J.-P.; Cohen, Albert; Jennequin, D.; Nieto, J. J.; Roland, Ch.; Roche, J. R.}, An adaptive particle-in-cell method using multi-resolution analysis, 29-42 [Zbl 1210.65180] \textit{Campos Pinto, M.; Mehrenberger, M.}, Adaptive numerical resolution of the Vlasov equation, 43-58 [Zbl 1210.65169] \textit{Crouseilles, N.; Filbet, F.}, A conservative and entropic method for the Vlasov-Fokker-Planck-Landau equation, 59-70 [Zbl 1210.65152] \textit{Besse, Christophe; Mauser, Norbert J.; Stimming, Hans Peter}, Numerical studies for nonlinear Schrödinger equations: the Schrödinger-Poisson-X\(\alpha \) model and Davey-Stewartson systems, 71-99 [Zbl 1210.65172] \textit{Besse, Christophe; Claudel, Jean; Degond, P.; Deluzet, F.; Gallice, Gerard; Tessieras, Christian}, Ionospheric plasmas: model derivation, stability, 101-129 [Zbl 1210.86006] \textit{Gosse, L.}, A case study on the reliability of multiphase WKB approximation for the one-dimensional Schrödinger equation, 131-141 [Zbl 1210.81038] \textit{Baranger, C.; Baudin, G.; Boudin, L.; Després, B.; Lagoutière, Frédéric; Lapébie, E.; Takahashi, T.}, Liquid jet generation and break-up, 149-176 [Zbl 1210.76146] \textit{Després, B.; Jaouen, S.; Mazeran, C.; Takahashi, T.}, Numerical study of a conservative bifluid model with interpenetration, 177-207 [Zbl 1210.76113] \textit{Caro, F.; Coquel, F.; Jamet, D.; Kokh, S.}, DINMOD: a diffuse interface model for two-phase flows modelling, 209-237 [Zbl 1210.76147] \textit{Coquel, F.; Rohde, C.; Merkle, C.; Diehl, D.}, Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows, 239-270 [Zbl 1210.80016] \textit{Cartier, J.; Munnier, A.}, Geometric eddington factor for radiative transfer, 271-293 [Zbl 1210.85005] \textit{Dumbser, M.; Munz, C.-D.}, Arbitrary high order discontinuous Galerkin schemes, 295-333 [Zbl 1210.65165] \textit{Munz, C.-D.; Dumbser, M.; Zucchini, M.}, The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers, 335-359 [Zbl 1210.76136]