Split-step methods for the solution of the nonlinear Schrödinger equation JAC Weideman, BM Herbst SIAM Journal on Numerical Analysis 23 (3), 485-507, 1986 | 402 | 1986 |

On the extension of the Painlevé property to difference equations MJ Ablowitz, R Halburd, B Herbst Nonlinearity 13 (3), 889, 2000 | 255 | 2000 |

Offline signature verification using the discrete radon transform and a hidden Markov model J Coetzer, BM Herbst, JA du Preez EURASIP Journal on Advances in Signal Processing 2004 (4), 925026, 2004 | 215 | 2004 |

On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation MJ Ablowitz, BM Herbst SIAM Journal on Applied Mathematics 50 (2), 339-351, 1990 | 209 | 1990 |

On the numerical solution of the sine–Gordon equation: I. Integrable discretizations and homoclinic manifolds MJ Ablowitz, BM Herbst, C Schober Journal of Computational Physics 126 (2), 299-314, 1996 | 187 | 1996 |

Numerically induced chaos in the nonlinear Schrödinger equation BM Herbst, MJ Ablowitz Physical Review Letters 62 (18), 2065, 1989 | 183 | 1989 |

Singular value decomposition, eigenfaces, and 3D reconstructions N Muller, L Magaia, BM Herbst SIAM review 46 (3), 518-545, 2004 | 96 | 2004 |

Numerical experience with the nonlinear Schrödinger equation BM Herbst, JL Morris, AR Mitchell Journal of Computational Physics 60 (2), 282-305, 1985 | 70 | 1985 |

Numerical chaos, roundoff errors, and homoclinic manifolds MJ Ablowitz, C Schober, BM Herbst Physical review letters 71 (17), 2683, 1993 | 69 | 1993 |

On the Numerical Solution of the Sine–Gordon Equation MJ Ablowitz, BM Herbst, CM Schober Journal of Computational Physics 131 (2), 354-367, 1997 | 65 | 1997 |

A moving Petrov‐Galerkin method for transport equations BM Herbst, SW Schoomnbie, AR Mitchell International Journal for Numerical Methods in Engineering 18 (9), 1321-1336, 1982 | 59 | 1982 |

Estimating the pen trajectories of static signatures using hidden Markov models EM Nel, JA Du Preez, BM Herbst IEEE transactions on pattern analysis and machine intelligence 27 (11), 1733 …, 2005 | 57 | 2005 |

Direct methods and symbolic software for conservation laws of nonlinear equations W Hereman, PJ Adams, HL Eklund, MS Hickman, BM Herbst arXiv preprint arXiv:0803.0083, 2008 | 44 | 2008 |

Numerical chaos, symplectic integrators, and exponentially small splitting distances BM Herbst, MJ Ablowitz Journal of Computational Physics 105 (1), 122-132, 1993 | 43 | 1993 |

Symplectic methods for the nonlinear Schrödinger equation BM Herbst, F Varadi, MJ Ablowitz Mathematics and Computers in simulation 37 (4-5), 353-369, 1994 | 42 | 1994 |

Computational chaos in the nonlinear Schrödinger equation without homoclinic crossings MJ Ablowitz, BM Herbst, CM Schober Physica A: Statistical Mechanics and its Applications 228 (1-4), 212-235, 1996 | 40 | 1996 |

An introduction to diffusion maps J De la Porte, BM Herbst, W Hereman, SJ Van Der Walt Proceedings of the 19th Symposium of the Pattern Recognition Association of …, 2008 | 38 | 2008 |

A numerical study of the nonlinear Schrödinger equation involving quintic terms A Cloot, BM Herbst, JAC Weideman Journal of computational physics 86 (1), 127-146, 1990 | 35 | 1990 |

Equidistributing principles in moving finite element methods BM Herbst, SW Schoombie, AR Mitchell Journal of computational and applied mathematics 9 (4), 377-389, 1983 | 34 | 1983 |

Dubuc--Deslauriers Subdivision for Finite Sequences and Interpolation Wavelets on an Interval JM De Villiers, KM Goosen, BM Herbst SIAM journal on mathematical analysis 35 (2), 423-452, 2003 | 32 | 2003 |