On some properties of kinetic and hydrodynamic equations for inelastic interactions AV Bobylev, JA Carrillo, IM Gamba Journal of Statistical Physics 98, 743-773, 2000 | 313 | 2000 |

Stationary transonic solutions of a one-dimensional hydrodynamic model for semiconductors IM Gamba Communications in Partial Differential Equations;(United States) 17, 1992 | 205 | 1992 |

On the Boltzmann equation for diffusively excited granular media IM Gamba, V Panferov, C Villani Communications in Mathematical Physics 246, 503-541, 2004 | 173 | 2004 |

Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions AV Bobylev, IM Gamba, VA Panferov Journal of Statistical Physics 116, 1651-1682, 2004 | 157 | 2004 |

A WENO-solver for the transients of Boltzmann–Poisson system for semiconductor devices: performance and comparisons with Monte Carlo methods JA Carrillo, IM Gamba, A Majorana, CW Shu Journal of Computational Physics 184 (2), 498-525, 2003 | 152 | 2003 |

A discontinuous Galerkin method for the Vlasov–Poisson system RE Heath, IM Gamba, PJ Morrison, C Michler Journal of Computational Physics 231 (4), 1140-1174, 2012 | 135 | 2012 |

Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states IM Gamba, SH Tharkabhushanam Journal of Computational Physics 228 (6), 2012-2036, 2009 | 129 | 2009 |

Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation IM Gamba, V Panferov, C Villani Archive for rational mechanics and analysis 194, 253-282, 2009 | 113 | 2009 |

Steady states of a Boltzmann equation for driven granular media JA Carrillo, C Cercignani, IM Gamba Physical Review E 62 (6), 7700, 2000 | 113 | 2000 |

A viscous approximation for a 2‐D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow IM Gamba, CS Morawetz Communications on pure and applied mathematics 49 (10), 999-1049, 1996 | 88 | 1996 |

A fast spectral method for the Boltzmann collision operator with general collision kernels IM Gamba, JR Haack, CD Hauck, J Hu SIAM Journal on Scientific Computing 39 (4), B658-B674, 2017 | 81 | 2017 |

Positive solutions to singular second and third order differential equations for quantum fluids IM Gamba, A Jüngel Archive for Rational Mechanics and Analysis 156, 183-203, 2001 | 80 | 2001 |

Boltzmann equations for mixtures of Maxwell gases: exact solutions and power like tails AV Bobylev, IM Gamba Journal of statistical physics 124, 497-516, 2006 | 78 | 2006 |

A discontinuous Galerkin solver for Boltzmann–Poisson systems in nano devices Y Cheng, IM Gamba, A Majorana, CW Shu Computer Methods in Applied Mechanics and Engineering 198 (37-40), 3130-3150, 2009 | 77 | 2009 |

Discontinuous Galerkin methods for the Vlasov--Maxwell equations Y Cheng, IM Gamba, F Li, PJ Morrison SIAM Journal on Numerical Analysis 52 (2), 1017-1049, 2014 | 73 | 2014 |

On the self-similar asymptotics for generalized nonlinear kinetic Maxwell models AV Bobylev, C Cercignani, IM Gamba Communications in Mathematical Physics 291, 599-644, 2009 | 72 | 2009 |

Study of conservation and recurrence of Runge–Kutta discontinuous Galerkin schemes for Vlasov–Poisson systems Y Cheng, IM Gamba, PJ Morrison Journal of Scientific Computing 56, 319-349, 2013 | 70 | 2013 |

Shock and boundary structure formation by spectral-Lagrangian methods for the inhomogeneous Boltzmann transport equation IM Gamba, SH Tharkabhushanam Journal of Computational Mathematics, 430-460, 2010 | 67 | 2010 |

2D semiconductor device simulations by WENO-Boltzmann schemes: efficiency, boundary conditions and comparison to Monte Carlo methods JA Carrillo, IM Gamba, A Majorana, CW Shu Journal of Computational Physics 214 (1), 55-80, 2006 | 64 | 2006 |

High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor C Cercignani, IM Gamba, CD Levermore Applied Mathematics Letters 10 (4), 111-117, 1997 | 59 | 1997 |