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Numerical Methods for Hyperbolic and Kinetic Problems
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Catalogue Information
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Title
Numerical Methods for Hyperbolic and Kinetic Problems ([EBook] /) / Stéphane Cordier, Thierry Goudon, Michael Gutnic, Eric Sonnendrücker
Added Personal Name
Cordier, Stéphane
Goudon, Thierry
Gutnic, Michael
Sonnendrücker, Eric
Publication
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2005
Physical Details
1 online resource (367 pages)
Series
IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
2523-5133 ; ; 7
ISBN
9783037195123
Summary Note
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.:
Contents note
Numerical charge conservation in Particle-In-Cell codes /: An adaptive Particle-In-Cell method using multi-resolution analysis /: Adaptive numerical resolution of the Vlasov equation /: A conservative and entropic method for the Vlasov–Fokker–Planck–Landau equation /: Numerical studies for nonlinear Schrödinger equations: the Schrödinger–Poisson-Xα model and Davey–Stewartson systems /: Ionospheric plasmas: model derivation, stability /: A case study on the reliability of multiphase WKB approximation for the one-dimensional Schrödinger equation /: Liquid jet generation and break-up /: Numerical study of a conservative bifluid model with interpenetration /: DINMOD: A diffuse interface model for two-phase flows modelling /: Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows /: Geometric Eddington factor for radiative transfer /: Arbitrary high order discontinuous Galerkin schemes /: The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers /:
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.4171/012
See Also
https://www.ems-ph.org/img/books/cordier_mini.jpg
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Subject References:
Numerical Analysis
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Authors:
Cordier, Stéphane
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editor
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Goudon, Thierry
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Gutnic, Michael
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Sonnendrücker, Eric
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Series:
IRMA Lectures in Mathematics and Theoretical Physics (IRMA)
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