Numerical Methods for Hyperbolic and Kinetic Problems


Book details

Numerical charge conservation in Particle-In-Cell codes
R. Barthelmé and C. Parzani
pp. 7–28
Abstract | Full-Text PDF (276 KB)

An adaptive Particle-In-Cell method using multi-resolution analysis
Albert Cohen, J.-P. Chehab, Ch. Roland, D. Jennequin, J. J. Nieto and J. R. Roche
pp. 29–42
Abstract | Full-Text PDF (99 KB)

Adaptive numerical resolution of the Vlasov equation
M. Campos Pinto and M. Mehrenberger
pp. 43–58
Abstract | Full-Text PDF (226 KB)

A conservative and entropic method for the Vlasov–Fokker–Planck–Landau equation
N. Crouseilles and F. Filbet
pp. 59–70
Abstract | Full-Text PDF (104 KB)

Numerical studies for nonlinear Schrödinger equations: the Schrödinger–Poisson-Xα model and Davey–Stewartson systems
Christophe Besse, Norbert J. Mauser and Hans Peter Stimming
pp. 71–99
Abstract | Full-Text PDF (1847 KB)

Ionospheric plasmas: model derivation, stability
Christophe Besse, Jean Claudel, Gerard Gallice, Christian Tessieras, P. Degond and F. Deluzet
pp. 101–129
Abstract | Full-Text PDF (402 KB)

A case study on the reliability of multiphase WKB approximation for the one-dimensional Schrödinger equation
L. Gosse
pp. 131–141
Abstract | Full-Text PDF (98 KB)

Liquid jet generation and break-up
Frédéric Lagoutière, Céline Baranger, G. Baudin, E. Lapébie, L. Boudin, Bruno Després and Takéo Takahashi
pp. 149–176
Abstract | Full-Text PDF (1109 KB)

Numerical study of a conservative bifluid model with interpenetration
Takéo Takahashi, B. Després, S. Jaouen and C. Mazeran
pp. 177–207
Abstract | Full-Text PDF (448 KB)

DINMOD: A diffuse interface model for two-phase flows modelling
D. Jamet, F. Caro, F. Coquel and S. Kokh
pp. 209–237
Abstract | Full-Text PDF (1786 KB)

Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows
Christian Rohde, F. Coquel, C. Merkle and D. Diehl
pp. 239–270
Abstract | Full-Text PDF (412 KB)

Geometric Eddington factor for radiative transfer
J. Cartier and A. Munnier
pp. 271–293
Abstract | Full-Text PDF (525 KB)

Arbitrary high order discontinuous Galerkin schemes
Michael Dumbser and C.-D. Munz
pp. 295–333
Abstract | Full-Text PDF (8326 KB)

The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers
C.-D. Munz, Michael Dumbser and M. Zucchini
pp. 335–359
Abstract | Full-Text PDF (2386 KB)

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