Kinetic boundary conditions in the lattice Boltzmann method S Ansumali, IV Karlin Physical Review E 66 (2), 026311, 2002 | 435 | 2002 |

Perfect entropy functions of the lattice Boltzmann method IV Karlin, A Ferrante, HC Öttinger EPL (Europhysics Letters) 47 (2), 182, 1999 | 431 | 1999 |

Invariant manifolds for physical and chemical kinetics AN Gorban, IV Karlin Lect. Notes Phys 660, 2004 | 337 | 2004 |

Minimal entropic kinetic models for hydrodynamics S Ansumali, IV Karlin, HC Öttinger Europhysics Letters 63 (6), 798, 2003 | 329 | 2003 |

Method of invariant manifold for chemical kinetics AN Gorban, IV Karlin Chemical Engineering Science 58 (21), 4751-4768, 2003 | 271 | 2003 |

*Colloquium*: Role of the *H* theorem in lattice Boltzmann hydrodynamic simulationsS Succi, IV Karlin, H Chen Reviews of Modern Physics 74 (4), 1203, 2002 | 240 | 2002 |

Maximum entropy principle for lattice kinetic equations IV Karlin, AN Gorban, S Succi, V Boffi Physical Review Letters 81 (1), 6, 1998 | 206 | 1998 |

Entropy and Galilean invariance of lattice Boltzmann theories SS Chikatamarla, IV Karlin Physical review letters 97 (19), 190601, 2006 | 200 | 2006 |

Single relaxation time model for entropic lattice Boltzmann methods S Ansumali, IV Karlin Physical Review E 65 (5), 056312, 2002 | 197 | 2002 |

Constructive methods of invariant manifolds for kinetic problems AN Gorban, IV Karlin, AY Zinovyev Physics Reports 396 (4-6), 197-403, 2004 | 191 | 2004 |

Entropic lattice Boltzmann models for hydrodynamics in three dimensions SS Chikatamarla, S Ansumali, IV Karlin Physical review letters 97 (1), 010201, 2006 | 184 | 2006 |

Lattices for the lattice Boltzmann method SS Chikatamarla, IV Karlin Physical Review E 79 (4), 046701, 2009 | 183 | 2009 |

Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy S Ansumali, IV Karlin, S Arcidiacono, A Abbas, NI Prasianakis Physical review letters 98 (12), 124502, 2007 | 164 | 2007 |

Stabilization of the lattice Boltzmann method by the H theorem: A numerical test S Ansumali, IV Karlin Physical Review E 62 (6), 7999, 2000 | 164 | 2000 |

Entropic lattice Boltzmann method for multiphase flows A Mazloomi M, SS Chikatamarla, IV Karlin Physical review letters 114 (17), 174502, 2015 | 163* | 2015 |

Lattice Boltzmann method for thermal flow simulation on standard lattices NI Prasianakis, IV Karlin Physical Review E 76 (1), 016702, 2007 | 140 | 2007 |

Entropy function approach to the lattice Boltzmann method S Ansumali, IV Karlin Journal of Statistical Physics 107, 291-308, 2002 | 135 | 2002 |

Consistent lattice Boltzmann method S Ansumali, IV Karlin Physical review letters 95 (26), 260605, 2005 | 131 | 2005 |

Galilean-invariant lattice-Boltzmann models with H theorem BM Boghosian, PJ Love, PV Coveney, IV Karlin, S Succi, J Yepez Physical Review E 68 (2), 025103, 2003 | 130 | 2003 |

Gibbs' principle for the lattice-kinetic theory of fluid dynamics IV Karlin, F Bösch, SS Chikatamarla Physical Review E 90 (3), 031302, 2014 | 128 | 2014 |