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
95 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
51 2008 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
30 2019 Modeling ant foraging: A chemotaxis approach with pheromones and trail formation P Amorim
Journal of theoretical biology 385, 160-173, 2015
30 2015 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
27 2009 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
19 2021 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 An ant navigation model based on Weber’s law P Amorim, T Goudon, F Peruani
Journal of Mathematical Biology 78, 943-984, 2019
16 2019 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 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
13 2012 Convergence of a finite difference method for the KdV and modified KdV equations with 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 