IRMA Lectures in Mathematics and Theoretical Physics 2005; 368 pp; softcover Volume: 7 ISBN10: 3037190124 ISBN13: 9783037190128 List Price: US$49 Member Price: US$39.20 Order Code: EMSILMTP/7
 Hyperbolic and kinetic equations arise in a large variety of industrial problems. For this reason, the Summer Mathematical Research Center on Scientific Computing and its Applications (CEMRACS), held at the Center of International Research in Mathematics (CIRM) in Luminy, was devoted to this topic. During a sixweek 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 present book reflects these results. The articles address modelling issues as well as the development and comparisons of numerical methods in different situations. The applications include multiphase flows, plasma physics, quantum particle dynamics, radiative transfer, sprays, and aeroacoustics. The text is aimed at researchers and engineers interested in applications arising from modelling and numerical simulation of hyperbolic and kinetic problems. A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society. Readership Graduate students, research mathematicians, and engineers interested in applications arising from modelling and numerical simulation of hyperbolic and kinetic problems. Table of Contents Kinetic Problems  S. Cordier, T. Goudon, and E. Sonnendrücker  Introduction
 R. Barthelmé and C. Parzani  Numerical charge conservation in ParticleInCell
 J.P. Chehab, A. Cohen, D. Jennequin, J. J. Nieto, Ch. Roland, and J. Roche  An adaptive ParticleInCell method using multiresolution analysis
 M. Campos Pinto and M. Mehrenberger  Adaptive numerical resolution of the Vlasov equation
 N. Crouseilles and F. Filbet  A conservative and entropic method for the VlasovFokkerPlanckLandau equation
 C. Besse, N. J. Mauser, and H. P. Stimming  Numerical studies for nonlinear Schrödinger equations: the SchrödingerPoissonX \(\alpha\) model and DaveyStewartson system
 C. Besse, J. Claudel, P. Degond, F. Deluzet, G. Gallice, and C. Tessieras  Ionospheric plasmas: model derivation, stability analysis and numerical simulations
 L. Gosse  A case study on the reliability of multiphase WKB approximation for the onedimensional Schrödinger equation
Hyperbolic Problems  B. Desprès  Introduction
 C. Baranger, G. Baudin, L. Boudin, B. Desprès, F. Lagoutière, E. Lapébie, and T. Takahashi  Liquid jet generation and breakup
 B. Després, S. Jaouen, C. Mazeran, and T. Takahashi  Numerical study of a conservative bifluid model with interpenetration
 F. Caro, F. Coquel, D. Jamet, and S. Kokh  DINMOD: A diffuse interface model for twophase flows modelling
 F. Coquel, D. Diehl, C. Merkle, and C. Rohde  Sharp and diffuse interface methods for phase transition problems in liquidvapour flows
 J. Cartier and A. Munnier  Geometric Eddington factor for radiative transfer problems
 M. Dumbser and C.D. Munz  Arbitrary high order discontinuous Galerkin schemes
 C.D. Munz, M. Dumbser, and M. Zucchini  The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers
