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:

This article has been cited by the following article(s):

An asymptotic-preserving Monte Carlo method for the Boltzmann equation

Wei Ren, Hong Liu and Shi Jin
Journal of Computational Physics 276 380 (2014)
DOI: 10.1016/
See this article

Quantum Fokker-Planck modeling of degenerate electrons

Hai P. Le
Journal of Computational Physics 434 110230 (2021)
DOI: 10.1016/
See this article

A BGK-penalization-based asymptotic-preserving scheme for the multispecies Boltzmann equation

Shi Jin and Qin Li
Numerical Methods for Partial Differential Equations 29 (3) 1056 (2013)
DOI: 10.1002/num.21746
See this article

Numerical methods for kinetic equations

G. Dimarco and L. Pareschi
Acta Numerica 23 369 (2014)
DOI: 10.1017/S0962492914000063
See this article

Deterministic numerical solutions of the Boltzmann equation using the fast spectral method

Lei Wu, Craig White, Thomas J. Scanlon, Jason M. Reese and Yonghao Zhang
Journal of Computational Physics 250 27 (2013)
DOI: 10.1016/
See this article

Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues

J. Hu, S. Jin and Q. Li
Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues 18 103 (2017)
DOI: 10.1016/bs.hna.2016.09.001
See this article

Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation

Clément Mouhot, Lorenzo Pareschi and Thomas Rey
ESAIM: Mathematical Modelling and Numerical Analysis 47 (5) 1515 (2013)
DOI: 10.1051/m2an/2013078
See this article

Asymptotic-Preserving Exponential Methods for the Quantum Boltzmann Equation with High-Order Accuracy

Jingwei Hu, Qin Li and Lorenzo Pareschi
Journal of Scientific Computing 62 (2) 555 (2015)
DOI: 10.1007/s10915-014-9869-2
See this article

A Numerical Scheme for the Quantum Fokker-Planck-Landau Equation Efficient in the Fluid Regime

Jingwei Hu, Shi Jin and Bokai Yan
Communications in Computational Physics 12 (5) 1541 (2012)
DOI: 10.4208/cicp.220411.090112a
See this article

Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation

Jianfeng Lu and Christian B. Mendl
Journal of Computational Physics 291 303 (2015)
DOI: 10.1016/
See this article

Matrix-valued quantum lattice Boltzmann method

Christian B. Mendl
International Journal of Modern Physics C 26 (10) 1550113 (2015)
DOI: 10.1142/S0129183115501132
See this article

Asymptotic preserving schemes for the FitzHugh–Nagumo transport equation with strong local interactions

Joachim Crevat and Francis Filbet
BIT Numerical Mathematics 61 (3) 771 (2021)
DOI: 10.1007/s10543-021-00844-5
See this article

Discontinuous Galerkin methods for a kinetic model of self-organized dynamics

Francis Filbet and Chi-Wang Shu
Mathematical Models and Methods in Applied Sciences 28 (06) 1171 (2018)
DOI: 10.1142/S0218202518500318
See this article

A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equations

Bokai Yan and Shi Jin
SIAM Journal on Scientific Computing 35 (1) A150 (2013)
DOI: 10.1137/110857982
See this article

Asymptotic-Preserving Numerical Schemes for the Semiconductor Boltzmann Equation Efficient in the High Field Regime

Shi Jin and Li Wang
SIAM Journal on Scientific Computing 35 (3) B799 (2013)
DOI: 10.1137/120886534
See this article

Quantum hydrodynamic approximations to the finite temperature trapped Bose gases

Shi Jin and Minh-Binh Tran
Physica D: Nonlinear Phenomena 380-381 45 (2018)
DOI: 10.1016/j.physd.2018.06.003
See this article

A fast spectral method for the Uehling-Uhlenbeck equation for quantum gas mixtures: Homogeneous relaxation and transport coefficients

Lei Wu
Journal of Computational Physics 399 108924 (2019)
DOI: 10.1016/
See this article

A unified gas-kinetic scheme for continuum and rarefied flows IV: Full Boltzmann and model equations

Chang Liu, Kun Xu, Quanhua Sun and Qingdong Cai
Journal of Computational Physics 314 305 (2016)
DOI: 10.1016/
See this article

Fast and accurate calculation of dilute quantum gas using Uehling–Uhlenbeck model equation

Ryosuke Yano
Journal of Computational Physics 330 1010 (2017)
DOI: 10.1016/
See this article

Stationary Quantum BGK Model for Bosons and Fermions in a Bounded Interval

Gi-Chan Bae and Seok-Bae Yun
Journal of Statistical Physics 178 (4) 845 (2020)
DOI: 10.1007/s10955-019-02466-2
See this article

On stochastic Galerkin approximation of the nonlinear Boltzmann equation with uncertainty in the fluid regime

Jingwei Hu, Shi Jin and Ruiwen Shu
Journal of Computational Physics 397 108838 (2019)
DOI: 10.1016/
See this article

Quantum BGK Model near a Global Fermi--Dirac Distribution

Gi-Chan Bae and Seok-Bae Yun
SIAM Journal on Mathematical Analysis 52 (3) 2313 (2020)
DOI: 10.1137/19M1270021
See this article

Numerical solutions of the semiclassical Boltzmann ellipsoidal-statistical kinetic model equation

Jaw-Yen Yang, Chin-Yuan Yan, Juan-Chen Huang and Zhihui Li
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470 (2168) 20140061 (2014)
DOI: 10.1098/rspa.2014.0061
See this article

Isogeometric schemes in rarefied gas dynamics context

Shashank Jaiswal
Computer Methods in Applied Mechanics and Engineering 383 113926 (2021)
DOI: 10.1016/j.cma.2021.113926
See this article

BGK model of the multi-species Uehling-Uhlenbeck equation

Gi-Chan Bae, Christian Klingenberg, Marlies Pirner and Seok-Bae Yun
Kinetic & Related Models 14 (1) 25 (2021)
DOI: 10.3934/krm.2020047
See this article