Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

A Fick Law's recovering BGK model for a mixture of monoatomic and polyatomic gases

Stéphane Brull, Kévin Guillon and Philippe Thieullen
Kinetic and Related Models (2024)
https://doi.org/10.3934/krm.2024006

Moment methods for the radiative transfer equation based on φ-divergences

M.R.A. Abdelmalik, Z. Cai and T. Pichard
Computer Methods in Applied Mechanics and Engineering 417 116454 (2023)
https://doi.org/10.1016/j.cma.2023.116454

A neural network closure for the Euler-Poisson system based on kinetic simulations

Léo Bois, Emmanuel Franck, Laurent Navoret and Vincent Vigon
Kinetic & Related Models 15 (1) 49 (2022)
https://doi.org/10.3934/krm.2021044

A moment closure based on a projection on the boundary of the realizability domain: Extension and analysis

Teddy Pichard
Kinetic and Related Models 15 (5) 793 (2022)
https://doi.org/10.3934/krm.2022014

Entropy bounds for the space–time discontinuous Galerkin finite element moment method applied to the BGK–Boltzmann equation

M.R.A. Abdelmalik, D.A.M. van der Woude and E.H. van Brummelen
Computer Methods in Applied Mechanics and Engineering 398 115162 (2022)
https://doi.org/10.1016/j.cma.2022.115162

A positive and stable L2-minimization based moment method for the Boltzmann equation of gas dynamics

Neeraj Sarna
Journal of Computational Physics 440 110428 (2021)
https://doi.org/10.1016/j.jcp.2021.110428

A Regularized Entropy-Based Moment Method for Kinetic Equations

Graham W. Alldredge, Martin Frank and Cory D. Hauck
SIAM Journal on Applied Mathematics 79 (5) 1627 (2019)
https://doi.org/10.1137/18M1181201

Theory, Numerics and Applications of Hyperbolic Problems II

S. Brull, B. Dubroca, M. Frank and T. Pichard
Springer Proceedings in Mathematics & Statistics, Theory, Numerics and Applications of Hyperbolic Problems II 237 465 (2018)
https://doi.org/10.1007/978-3-319-91548-7_35

An Approximation of the $$M_2$$ M 2 Closure: Application to Radiotherapy Dose Simulation

T. Pichard, G. W. Alldredge, S. Brull, B. Dubroca and M. Frank
Journal of Scientific Computing 71 (1) 71 (2017)
https://doi.org/10.1007/s10915-016-0292-8

The $M_1$ Angular Moments Model in a Velocity-Adaptive Frame for Rarefied Gas Dynamics Applications

S. Guisset, D. Aregba, S. Brull and B. Dubroca
Multiscale Modeling & Simulation 15 (4) 1719 (2017)
https://doi.org/10.1137/16M1099327

The Maxwell–Stefan diffusion limit for a kinetic model of mixtures with general cross sections

Laurent Boudin, Bérénice Grec and Vincent Pavan
Nonlinear Analysis 159 40 (2017)
https://doi.org/10.1016/j.na.2017.01.010

Moment Closure Approximations of the Boltzmann Equation Based on $$\varphi $$ φ -Divergences

M. R. A. Abdelmalik and E. H. van Brummelen
Journal of Statistical Physics 164 (1) 77 (2016)
https://doi.org/10.1007/s10955-016-1529-5

Optimization and large scale computation of an entropy-based moment closure

C. Kristopher Garrett, Cory Hauck and Judith Hill
Journal of Computational Physics 302 573 (2015)
https://doi.org/10.1016/j.jcp.2015.09.008

General moment system for plasma physics based on minimum entropy principle

Jessy Mallet, Stéphane Brull and Bruno Dubroca
Kinetic & Related Models 8 (3) 533 (2015)
https://doi.org/10.3934/krm.2015.8.533

Adaptive change of basis in entropy-based moment closures for linear kinetic equations

Graham W. Alldredge, Cory D. Hauck, Dianne P. OʼLeary and André L. Tits
Journal of Computational Physics 258 489 (2014)
https://doi.org/10.1016/j.jcp.2013.10.049

Application of Gaussian Moment Closure to Microscale Flows with Moving Embedded Boundaries

J. G. McDonald, J. S. Sachdev and C. P. T. Groth
AIAA Journal 52 (9) 1839 (2014)
https://doi.org/10.2514/1.J052576

Spectral maximum entropy hydrodynamics of fermionic radiation: a three-moment system for one-dimensional flows

Zbigniew Banach and Wieslaw Larecki
Nonlinearity 26 (6) 1667 (2013)
https://doi.org/10.1088/0951-7715/26/6/1667

A Comparison of Moment Closures for Linear Kinetic Transport Equations: The Line Source Benchmark

C. Kristopher Garrett and Cory D. Hauck
Transport Theory and Statistical Physics 42 (6-7) 203 (2013)
https://doi.org/10.1080/00411450.2014.910226

Towards realizable hyperbolic moment closures for viscous heat-conducting gas flows based on a maximum-entropy distribution

James G. McDonald and Clinton P. T. Groth
Continuum Mechanics and Thermodynamics 25 (5) 573 (2013)
https://doi.org/10.1007/s00161-012-0252-y

High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem

Graham W. Alldredge, Cory D. Hauck and André L. Tits
SIAM Journal on Scientific Computing 34 (4) B361 (2012)
https://doi.org/10.1137/11084772X

One-dimensional maximum entropy radiation hydrodynamics: three-moment theory

Zbigniew Banach and Wieslaw Larecki
Journal of Physics A: Mathematical and Theoretical 45 (38) 385501 (2012)
https://doi.org/10.1088/1751-8113/45/38/385501

A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer

Edgar Olbrant, Cory D. Hauck and Martin Frank
Journal of Computational Physics 231 (17) 5612 (2012)
https://doi.org/10.1016/j.jcp.2012.03.002

Entropic derivation of the spectral Eddington factors

Wieslaw Larecki and Zbigniew Banach
Journal of Quantitative Spectroscopy and Radiative Transfer 112 (15) 2486 (2011)
https://doi.org/10.1016/j.jqsrt.2011.06.011

Towards physically realizable and hyperbolic moment closures for kinetic theory

Clinton P. T. Groth and James G. McDonald
Continuum Mechanics and Thermodynamics 21 (6) 467 (2009)
https://doi.org/10.1007/s00161-009-0125-1

Convex Duality and Entropy-Based Moment Closures: Characterizing Degenerate Densities

Cory D. Hauck, C. David Levermore and André L. Tits
SIAM Journal on Control and Optimization 47 (4) 1977 (2008)
https://doi.org/10.1137/070691139

A Hierarchy of Diffusive Higher-Order Moment Equations for Semiconductors

Ansgar Jüngel, Stefan Krause and Paola Pietra
SIAM Journal on Applied Mathematics 68 (1) 171 (2007)
https://doi.org/10.1137/070683313

Moment Systems Derived from Relativistic Kinetic Equations

Véronique Bagland, Pierre Degond and Mohammed Lemou
Journal of Statistical Physics 125 (3) 621 (2006)
https://doi.org/10.1007/s10955-006-9173-0