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.
type: Item
instance of: scholarly article
title: 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.
zbMATH Open document ID: 1062.76002
DOI: 10.4171/012
published in: IRMA Lectures in Mathematics and Theoretical Physics
publication date: 2005-05-31T00:00:00Z
review text: 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 on…
Mathematics Subject Classification ID: 76-06
Mathematics Subject Classification ID: 65-06
Mathematics Subject Classification ID: 00B25
zbMATH DE Number: 2172480
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/012
OpenAlex ID: W1915652434
description: scientific article; zbMATH DE number 2172480