Radiation boundary conditions for wave‐like equations A Bayliss, E Turkel Communications on Pure and applied Mathematics 33 (6), 707-725, 1980 | 1325 | 1980 |

Boundary conditions for the numerical solution of elliptic equations in exterior regions A Bayliss, M Gunzburger, E Turkel SIAM Journal on Applied Mathematics 42 (2), 430-451, 1982 | 812 | 1982 |

An iterative method for the Helmholtz equation A Bayliss, CI Goldstein, E Turkel Journal of Computational Physics 49 (3), 443-457, 1983 | 312 | 1983 |

Far field boundary conditions for compressible flows A Bayliss, E Turkel Journal of Computational Physics 48 (2), 182-199, 1982 | 304 | 1982 |

On accuracy conditions for the numerical computation of waves A Bayliss, CI Goldstein, E Turkel Journal of Computational Physics 59 (3), 396-404, 1985 | 287 | 1985 |

A fourth-order accurate finite-difference scheme for the computation of elastic waves A Bayliss, KE Jordan, BJ LeMesurier, E Turkel Bulletin of the Seismological Society of America 76 (4), 1115-1132, 1986 | 264 | 1986 |

Two routes to chaos in condensed phase combustion A Bayliss, BJ Matkowsky SIAM Journal on Applied Mathematics 50 (2), 437-459, 1990 | 148 | 1990 |

The spectral overlay on finite elements for problems with high gradients T Belytschko, J Fish, A Bayliss Computer Methods in Applied Mechanics and Engineering 81 (1), 71-89, 1990 | 147 | 1990 |

Mappings and accuracy for Chebyshev pseudo-spectral approximations A Bayliss, E Turkel Journal of Computational Physics 101 (2), 349-359, 1992 | 144 | 1992 |

Fronts, relaxation oscillations, and period doubling in solid fuel combustion A Bayliss, BJ Matkowsky Journal of Computational Physics 71 (1), 147-168, 1987 | 141 | 1987 |

An adaptive pseudo-spectral method for reaction diffusion problems A Bayliss, D Gottlieb, BJ Matkowsky, M Minkoff Journal of Computational Physics 81 (2), 421-443, 1989 | 110 | 1989 |

The numerical solution of the Helmholtz equation for wave propagation problems in underwater acoustics A Bayliss, CI Goldstein, E Turkel Computers & Mathematics with Applications 11 (7-8), 655-665, 1985 | 106 | 1985 |

Roundoff error in computing derivatives using the Chebyshev differentiation matrix A Bayliss, A Class, BJ Matkowsky Journal of Computational Physics 116 (2), 380-383, 1995 | 104 | 1995 |

Some remarks on the Gaussian beam summation method BS White, A Norris, A Bayliss, R Burridge Geophysical Journal International 89 (2), 579-636, 1987 | 104 | 1987 |

A fourth-order scheme for the unsteady compressible Navier-Stokes equations A Bayliss, P Parikh, L Maestrello, E Turkel | 66 | 1985 |

Pattern formation in a model of competing populations with nonlocal interactions BL Segal, VA Volpert, A Bayliss Physica D: Nonlinear Phenomena 253, 12-22, 2013 | 59 | 2013 |

Coupling between plate vibration and acoustic radiation A Frendi, L Maestrello, A Bayliss Journal of Sound and Vibration 177 (2), 207-226, 1994 | 58 | 1994 |

Outflow boundary conditions for fluid dynamics A Bayliss, E Turkel SIAM Journal on Scientific and Statistical Computing 3 (2), 250-259, 1982 | 54 | 1982 |

From traveling waves to chaos in combustion A Bayliss, BJ Matkowsky SIAM Journal on Applied Mathematics 54 (1), 147-174, 1994 | 51 | 1994 |

Traveling waves in natural counterflow filtration combustion and their stability DA Schult, A Bayliss, BJ Matkowsky SIAM Journal on Applied Mathematics 58 (3), 806-852, 1998 | 50 | 1998 |