Numerical Cherenkov instabilities in electromagnetic particle codes BB Godfrey Journal of Computational Physics 15 (4), 504-521, 1974 | 173 | 1974 |

Oscillatory nonlinear electron flow in a Pierce diode BB Godfrey The Physics of fluids 30 (5), 1553-1560, 1987 | 156 | 1987 |

A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm R Lehe, M Kirchen, IA Andriyash, BB Godfrey, JL Vay Computer Physics Communications 203, 66-82, 2016 | 125 | 2016 |

A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas JL Vay, I Haber, BB Godfrey Journal of Computational Physics 243, 260-268, 2013 | 113 | 2013 |

Linear theory of a cold relativistic beam propagating along an external magnetic field BB Godfrey, WR Shanahan, LE Thode The Physics of Fluids 18 (3), 346-355, 1975 | 110 | 1975 |

Vacuum propagation of solid relativistic electron beams LE Thode, BB Godfrey, WR Shanahan The Physics of Fluids 22 (4), 747-763, 1979 | 86 | 1979 |

Numerical stability of relativistic beam multidimensional PIC simulations employing the Esirkepov algorithm BB Godfrey, JL Vay Journal of Computational Physics 248, 33-46, 2013 | 68 | 2013 |

Canonical momenta and numerical instabilities in particle codes BB Godfrey Journal of Computational Physics 19 (1), 58-76, 1975 | 64 | 1975 |

Suppressing the numerical Cherenkov instability in FDTD PIC codes BB Godfrey, JL Vay arXiv preprint arXiv:1401.0838, 2014 | 56 | 2014 |

Numerical stability analysis of the pseudo-spectral analytical time-domain PIC algorithm BB Godfrey, JL Vay, I Haber Journal of Computational Physics 258, 689-704, 2014 | 53 | 2014 |

Mach's Principle, the Kerr Metric, and Black-Hole Physics BB Godfrey Physical Review D 1 (10), 2721, 1970 | 42 | 1970 |

Taub-NUT (Newman, Unti, Tamburino) metric and incompatible extensions JG Miller, MD Kruskal, BB Godfrey Physical Review D 4 (10), 2945, 1971 | 40 | 1971 |

Small‐angle multiple scattering of charged particle beams TP Hughes, BB Godfrey The Physics of fluids 27 (6), 1531-1537, 1984 | 39 | 1984 |

A relativistic plasma dispersion function BB Godfrey, BS Newberger, KA Taggart IEEE Transactions on Plasma Science 3, 60-67, 1975 | 37 | 1975 |

Electromagnetic instability in a quadrupole‐focusing accelerator TP Hughes, BB Godfrey The Physics of fluids 29 (5), 1698-1703, 1986 | 36 | 1986 |

Elimination of numerical Cherenkov instability in flowing-plasma particle-in-cell simulations by using Galilean coordinates R Lehe, M Kirchen, BB Godfrey, AR Maier, JL Vay Physical Review E 94 (5), 053305, 2016 | 35 | 2016 |

Horizons in Weyl metrics exhibiting extra symmetries BB Godfrey General Relativity and Gravitation 3 (1-2), 3-16, 1972 | 35 | 1972 |

Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm BB Godfrey, JL Vay Computer Physics Communications 196, 221-225, 2015 | 33 | 2015 |

Electron-beam guiding by a reduced-density channel DR Welch, FM Bieniosek, BB Godfrey Physical review letters 65 (25), 3128, 1990 | 28 | 1990 |

Numerical stability improvements for the pseudospectral EM PIC algorithm BB Godfrey, JL Vay, I Haber IEEE Transactions on Plasma Science 42 (5), 1339-1344, 2014 | 25 | 2014 |