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
51 2008 Modeling ant foraging: A chemotaxis approach with pheromones and trail formation P Amorim
Journal of theoretical biology 385, 160-173, 2015
29 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
22 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
19 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
15 2012 An ant navigation model based on Weber’s law P Amorim, T Goudon, F Peruani
Journal of Mathematical Biology 78, 943-984, 2019
14 2019 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
12 2021 Convergence of a numerical scheme for a coupled Schrödinger–KdV system P Amorim, M Figueira
Revista matemática complutense 26, 409-426, 2013
12 2013 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
11 2016 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 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
7 2009 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
5 2014 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 Convergence of semi-discrete approximations of Benney equations P Amorim, M Figueira
Comptes Rendus Mathematique 347 (19-20), 1135-1140, 2009
5 2009 A non-local scalar conservation law describing navigation processes P Amorim, F Berthelin, T Goudon
Journal of Hyperbolic Differential Equations 17 (04), 809-841, 2020
4 2020