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An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit

Mounir Bennoune, Mohammed Lemou, Luc Mieussens

Continuum Mechanics and Thermodynamics · 2009 · 14 citations · 23 references

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23

<i>Probability and Related Topics in Physical Sciences</i>

Mark Kac, G. E. Uhlenbeck, A. R. Hibbs et al. · Physics Today · 1960 · 665 citations

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Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations

Shi Jin · SIAM Journal on Scientific Computing · 1999 · 498 citations

, , +14

Fluid dynamic limits of kinetic equations. I. Formal derivations

Claude Bardos, Fran�ois Golse, David Levermore · Journal of Statistical Physics · 1991 · 463 citations

, , +11

Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas

H. P. McKean · Archive for Rational Mechanics and Analysis · 1966 · 286 citations

, , +11

Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms

Shi Jin, C. David Levermore · Journal of Computational Physics · 1996 · 229 citations

, , +14