On the numerical integration of scalar nonlocal conservation laws P Amorim, RM Colombo, A Teixeira ESAIM: Mathematical Modelling and Numerical Analysis 49 (1), 19-37, 2015 | 94 | 2015 |

Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method P Amorim, M Ben-Artzi, PG LeFloch | 53 | 2005 |

Finite volume schemes on Lorentzian manifolds P Amorim, PG LeFloch, B Okutmustur | 50 | 2008 |

Modeling ant foraging: A chemotaxis approach with pheromones and trail formation P Amorim Journal of theoretical biology 385, 160-173, 2015 | 28 | 2015 |

A reaction–diffusion predator–prey model with pursuit, evasion, and nonlocal sensing P Amorim, B Telch, LM Villada Mathematical Biosciences and Engineering 16 (5), 5114-5145, 2019 | 25 | 2019 |

Young measure solutions for the wave equation with p (x, t)-Laplacian: Existence and blow-up P Amorim, S Antontsev Nonlinear Analysis: Theory, Methods & Applications 92, 153-167, 2013 | 18 | 2013 |

A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal P Amorim, B Telch Journal of Mathematical Analysis and Applications 500 (1), 125128, 2021 | 15 | 2021 |

An ant navigation model based on Weber’s law P Amorim, T Goudon, F Peruani Journal of Mathematical Biology 78, 943-984, 2019 | 15 | 2019 |

On a nonlocal hyperbolic conservation law arising from a gradient constraint problem P Amorim Bulletin of the Brazilian Mathematical Society, New Series 43, 599-614, 2012 | 15 | 2012 |

Computing Gowdy spacetimes via spectral evolution in future and past directions P Amorim, C Bernardi, PG LeFloch Classical and Quantum Gravity 26 (2), 025007, 2009 | 15 | 2009 |

Analysis of a chemotaxis system modeling ant foraging R Alonso, P Amorim, T Goudon Mathematical Models and Methods in Applied Sciences 26 (09), 1785-1824, 2016 | 13 | 2016 |

Convergence of a numerical scheme for a coupled Schrödinger–KdV system P Amorim, M Figueira Revista matemática complutense 26, 409-426, 2013 | 13 | 2013 |

Convergence of a finite difference method for the KdV and modified KdV equations with data P Amorim, M Figueira Portugaliae Mathematica 70 (1), 23-50, 2013 | 10 | 2013 |

A geometric approach to error estimates for conservation laws posed on a spacetime P Amorim, PG LeFloch, W Neves Nonlinear Analysis: Theory, Methods & Applications 74 (15), 4898-4917, 2011 | 7 | 2011 |

The obstacle-mass constraint problem for hyperbolic conservation laws. Solvability P Amorim, W Neves, JF Rodrigues Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34 (1), 221-248, 2017 | 6 | 2017 |

A continuous model of ant foraging with pheromones and trail formation P Amorim arXiv preprint arXiv:1402.5611, 2014 | 6 | 2014 |

Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis P Amorim, R Bürger, R Ordonez, LM Villada Nonlinear Analysis: Real World Applications 69, 103703, 2023 | 5 | 2023 |

Predator-prey interactions with hunger structure P Amorim SIAM Journal on Applied Mathematics 80 (6), 2631-2656, 2020 | 5 | 2020 |

The linear stability of shock waves for the nonlinear Schrödinger–inviscid Burgers system P Amorim, JP Dias, M Figueira, PG LeFloch Journal of Dynamics and Differential Equations 25, 49-69, 2013 | 5 | 2013 |

Convergence of numerical schemes for interaction equations of short and long waves P Amorim, M Figueira Arxiv preprint arXiv:0912.2027, 2009 | 5* | 2009 |