A viscosity solution approach to the Monge-Ampere formulation of the optimal transportation problem JD Benamou, BD Froese, AM Oberman arXiv preprint arXiv:1208.4873, 2012 | 248* | 2012 |

Numerical solution of the optimal transportation problem using the Monge–Ampère equation JD Benamou, BD Froese, AM Oberman Journal of Computational Physics 260, 107-126, 2014 | 242 | 2014 |

Application of the Wasserstein metric to seismic signals B Engquist, BD Froese Communications in Mathematical Sciences 12 (5), 979-988, 2014 | 240 | 2014 |

Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion Y Yang, B Engquist, J Sun, BF Hamfeldt Geophysics 83 (1), R43-R62, 2018 | 239 | 2018 |

Optimal transport for seismic full waveform inversion B Engquist, BD Froese, Y Yang Communications in Mathematical Science 14 (8), 2309-2330, 2016 | 176 | 2016 |

Convergent finite difference solvers for viscosity solutions of the elliptic Monge-Amp\ere equation in dimensions two and higher BD Froese, AM Oberman SIAM Journal on Numerical Analysis 49 (4), 1692–1714, 2011 | 156 | 2011 |

Two numerical methods for the elliptic Monge-Ampere equation JD Benamou, BD Froese, AM Oberman ESAIM: Mathematical Modelling and Numerical Analysis 44 (4), 737-758, 2010 | 147 | 2010 |

Convergent filtered schemes for the Monge--Ampère partial differential equation BD Froese, AM Oberman SIAM Journal on Numerical Analysis 51 (1), 423-444, 2013 | 112 | 2013 |

A numerical method for the elliptic Monge-Amp\ere equation with transport boundary conditions BD Froese SIAM Journal on Scientific Computing 34 (3), A1432–A1459., 2012 | 110 | 2012 |

Freeform illumination optics construction following an optimal transport map Z Feng, BD Froese, R Liang Applied optics 55 (16), 4301-4306, 2016 | 74 | 2016 |

Fast finite difference solvers for singular solutions of the elliptic Monge–Ampère equation BD Froese, AM Oberman Journal of Computational Physics 230 (3), 818-834, 2011 | 73 | 2011 |

Simplified freeform optics design for complicated laser beam shaping Z Feng, BD Froese, R Liang, D Cheng, Y Wang Applied optics 56 (33), 9308-9314, 2017 | 44 | 2017 |

Creating unconventional geometric beams with large depth of field using double freeform-surface optics Z Feng, BD Froese, CY Huang, D Ma, R Liang Applied optics 54 (20), 6277-6281, 2015 | 41 | 2015 |

Meshfree finite difference approximations for functions of the eigenvalues of the Hessian BD Froese Numerische Mathematik 138 (1), 75-99, 2018 | 30 | 2018 |

Composite method for precise freeform optical beam shaping Z Feng, BD Froese, R Liang Applied Optics 54 (31), 9364-9369, 2015 | 28 | 2015 |

Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature B Froese Hamfeldt Communications on Pure & Applied Analysis 17 (2), 2018 | 22* | 2018 |

Application of optimal transport and the quadratic Wasserstein metric to full-waveform inversion: Geophysics, 83 Y Yang, B Engquist, J Sun, BF Hamfeldt R43–R62, 2018 | 20 | 2018 |

Convergence Framework for the Second Boundary Value Problem for the Monge--Ampère Equation BF Hamfeldt SIAM Journal on Numerical Analysis 57 (2), 945-971, 2019 | 19 | 2019 |

Higher-order adaptive finite difference methods for fully nonlinear elliptic equations BF Hamfeldt, T Salvador Journal of Scientific Computing 75 (3), 1282-1306, 2018 | 19 | 2018 |

Numerical averaging of non-divergence structure elliptic operators BD Froese, AM Oberman Communications in Mathematical Sciences 7 (4), 785-804, 2009 | 17 | 2009 |