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 | 151 | 2003 |

Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors A Majorana Transport Theory and Statistical Physics 20 (4), 261-279, 1991 | 91 | 1991 |

A finite difference scheme solving the Boltzmann–Poisson system for semiconductor devices A Majorana, RM Pidatella Journal of Computational Physics 174 (2), 649-668, 2001 | 77 | 2001 |

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 | 71 | 2009 |

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 | 65 | 2006 |

DSMC method consistent with the Pauli exclusion principle and comparison with deterministic solutions for charge transport in graphene V Romano, A Majorana, M Coco Journal of Computational Physics 302, 267-284, 2015 | 51 | 2015 |

A direct solver for 2D non-stationary Boltzmann-Poisson systems for semiconductor devices: a MESFET simulation by WENO-Boltzmann schemes JA Carrillo, IM Gamba, A Majorana, CW Shu Journal of Computational Electronics 2 (2), 375-380, 2003 | 49 | 2003 |

Equilibrium solutions of the non-linear Boltzmann equation for an electron gas in a semiconductor A Majorana Il Nuovo Cimento B (1971-1996) 108 (8), 871-877, 1993 | 43 | 1993 |

Shock structure for heat conducting and viscid fluids AM Anile, A Majorana Meccanica 16 (3), 149-156, 1981 | 43 | 1981 |

A WENO-solver for the 1D non-stationary Boltzmann–Poisson system for semiconductor devices JA Carrillo, IM Gamba, A Majorana, CW Shu Journal of Computational Electronics 1 (3), 365-370, 2002 | 37 | 2002 |

Magnetoacoustic shock waves in a relativistic gas A Majorana, AM Anile The Physics of fluids 30 (10), 3045-3049, 1987 | 32 | 1987 |

Cross validation of discontinuous Galerkin method and Monte Carlo simulations of charge transport in graphene on substrate M Coco, A Majorana, V Romano Ricerche di matematica 66 (1), 201-220, 2017 | 31 | 2017 |

Space homogeneous solutions of the linear semiconductor Boltzmann equation A Majorana, C Milazzo Journal of mathematical analysis and applications 259 (2), 609-629, 2001 | 29 | 2001 |

Conservation laws from the Boltzmann equation describing electron-phonon interactions in semiconductors A Majorana Transport Theory and Statistical Physics 22 (6), 849-859, 1993 | 27 | 1993 |

Discontinuous Galerkin solver for Boltzmann-Poisson transients Y Cheng, IM Gamba, A Majorana, CW Shu Journal of Computational Electronics 7 (3), 119-123, 2008 | 26 | 2008 |

Charge transport in 1D silicon devices via Monte Carlo simulation and Boltzmann‐Poisson solver A Majorana, O Muscato, C Milazzo COMPEL-The international journal for computation and mathematics in …, 2004 | 25 | 2004 |

A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations Y Cheng, IM Gamba, A Majorana, CW Shu SeMA Journal 54 (1), 47-64, 2011 | 23 | 2011 |

A semi-Lagrangian deterministic solver for the semiconductor Boltzmann-Poisson system JA Carrillo, A Majorana, F Vecil Communications in Computational Physics 2 (5), 1027-1054, 2007 | 22 | 2007 |

Charge transport and mobility in monolayer graphene A Majorana, G Mascali, V Romano Journal of Mathematics in Industry 7 (1), 1-13, 2016 | 21 | 2016 |

A numerical model of the Boltzmann equation related to the discontinuous Galerkin method A Majorana Kinetic & Related Models 4 (1), 139, 2011 | 21 | 2011 |