D. Wall, HTTP in PHP, Multi-Tier Application Programming with PHP, vol.3, pp.21-43, 2004.

, Additional Bibliography (websites accessed on 29 December 2018), Beyond Decommissioning, pp.359-363, 2019.

J. Adrian, M. Boltes, S. Holl, A. Sieben, and A. Seyfried, Crowding and Queuing in Entrance Scenarios: Influence of Corridor Width in Front of Bottlenecks, Collective Dynamics, vol.5, 2020.

A. A. Almet, M. Pan, B. D. Hughes, and K. A. Landman, When push comes to shove: Exclusion processes with nonlocal consequences, Physica A: Statistical Mechanics and its Applications, vol.437, issue.3, pp.119-129, 2015.

M. Bardi and I. Capuzzo-dolcetta, Continuous viscosity solutions of Hamilton-Jacobi equations, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, pp.25-96, 1997.

M. Burger, S. Hittmeir, H. Ranetbauer, and M. Wolfram, Lane Formation by Side-Stepping, SIAM Journal on Mathematical Analysis, vol.48, issue.2, pp.981-1005, 2016.

M. Burger and J. Pietschmann, Flow characteristics in a crowded transport model, Nonlinearity, vol.29, issue.11, pp.3528-3550, 2016.

C. Burstedde, K. Klauck, A. Schadschneider, and J. Zittartz, Simulation of pedestrian dynamics using a two-dimensional cellular automaton, Physica A: Statistical Mechanics and its Applications, vol.295, issue.3-4, pp.507-525, 2001.

L. A. Caffarelli and M. G. Crandall, Distance Functions and Almost Global Solutions of Eikonal Equations, Communications in Partial Differential Equations, vol.35, issue.3, pp.391-414, 2010.

A. Corbetta, J. A. Meeusen, C. Lee, R. Benzi, and F. Toschi, Physics-based modeling and data representation of pairwise interactions among pedestrians, Physical Review E, vol.98, issue.6, p.62310, 2018.

E. Cristiani, B. Piccoli, and A. Tosin, Generalizations of the Multiscale Approach, Multiscale Modeling of Pedestrian Dynamics, pp.195-219, 2014.

M. Di-francesco, P. A. Markowich, J. Pietschmann, and M. Wolfram, On the Hughes' model for pedestrian flow: The one-dimensional case, Journal of Differential Equations, vol.250, issue.3, pp.1334-1362, 2011.

D. C. Duives, W. Daamen, and S. Hoogendoorn, Trajectory Analysis of Pedestrian Crowd Movements at a Dutch Music Festival, Pedestrian and Evacuation Dynamics 2012, vol.3, pp.151-166, 2013.

S. N. Gomes, A. M. Stuart, and M. Wolfram, Parameter Estimation for Macroscopic Pedestrian Dynamics Models from Microscopic Data, SIAM Journal on Applied Mathematics, vol.79, issue.4, pp.1475-1500, 2019.

B. Hein, Agent-based modelling for crowding and queuing in front of bottlenecks. Bachelor's thesis, 2019.

D. Helbing and P. Molnár, Social force model for pedestrian dynamics, Physical Review E, vol.51, issue.5, pp.4282-4286, 1995.

K. Hirai and K. Tarui, A simulation of the behavior of a crowd in panic, Systems and Control, issue.1, 1977.

R. Hughes, A continuum theory for the flow of pedestrians, Transportation Research Part B: Methodological, vol.36, issue.6, pp.507-535, 2002.

A. Johansson and D. Helbing, Analysis of Empirical Trajectory Data of Pedestrians, Pedestrian and Evacuation Dynamics 2008, pp.203-214, 2009.

A. , The boundedness-by-entropy method for cross-diffusion systems, Nonlinearity, vol.28, issue.6, pp.1963-2001, 2015.

A. Kirchner and A. Schadschneider, Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics, Physica A: Statistical Mechanics and its Applications, vol.312, issue.1-2, pp.260-276, 2002.

C. Koutschan, H. Ranetbauer, G. Regensburger, and M. Wolfram, Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models, 2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), vol.1, p.4, 2015.

O. Ladyzhenskaya, Linear and quasi-linear elliptic equations, by O. Ladyzhenskaya and N. Ural'tseva. Academic Press, New York, 1968. xviii + 495 pages. U.S. $24., Canadian Mathematical Bulletin, vol.12, issue.1, pp.101-102, 1969.

P. Lefloch, Explicit formula for scalar non-linear conservation laws with boundary condition, Mathematical Methods in the Applied Sciences, vol.10, issue.3, pp.265-287, 1988.

P. L. Floch and J. Nedelec, Explicit Formula for Weighted Scalar Nonlinear Hyperbolic Conservation Laws, Transactions of the American Mathematical Society, vol.308, issue.2, p.667, 1988.

C. Lehrenfeld, Extended Finite Element Method for Isotropic Problems, Extended Finite Element Method, pp.61-116

A. Y. Leroux, Approximation de quelques problèmes hyperboliques non-linéaires, vol.4, 1979.

B. Maury and S. Faure, Crowds in Equations, Pte. Ltd, 2018.

M. Moussaïd, D. Helbing, S. Garnier, A. Johansson, M. Combe et al., Experimental study of the behavioural mechanisms underlying self-organization in human crowds, Proceedings of the Royal Society B: Biological Sciences, vol.276, issue.1668, pp.2755-2762, 2009.

S. Nowak and A. Schadschneider, Quantitative analysis of pedestrian counterflow in a cellular automaton model, Physical Review E, vol.85, issue.6, 2012.

S. Okazaki, A STUDY OF PEDESTRIAN MOVEMENT IN ARCHITECTURAL SPACE : Part 2 : Concentrated Pedestrian Movement, Transactions of the Architectural Institute of Japan, vol.284, issue.0, pp.101-110, 1979.

B. Piccoli and A. Tosin, Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow, Archive for Rational Mechanics and Analysis, vol.199, issue.3, pp.707-738, 2010.

J. Qian, Y. Zhang, and H. Zhao, Fast Sweeping Methods for Eikonal Equations on Triangular Meshes, SIAM Journal on Numerical Analysis, vol.45, issue.1, pp.83-107, 2007.

C. Rudloff, T. Matyus, and S. Seer, Comparison of Different Calibration Techniques on Simulated Data, Pedestrian and Evacuation Dynamics 2012, vol.3, pp.657-672, 2013.

A. Schadschneider, C. Eilhardt, S. Nowak, and R. Will, Towards a Calibration of the Floor Field Cellular Automaton, Pedestrian and Evacuation Dynamics, pp.557-566, 2011.

A. Schadschneider, H. Klüpfel, T. Kretz, C. Rogsch, and A. Seyfried, Fundamentals of Pedestrian and Evacuation Dynamics, Multi-Agent Systems for Traffic and Transportation Engineering, pp.124-154, 2009.

M. Twarogowska, P. Goatin, and R. Duvigneau, Comparative Study of Macroscopic Pedestrian Models, Transportation Research Procedia, vol.2, pp.477-485, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01095506

U. Weidmann, Transporttechnik der Fussgänger: transporttechnische Eigenschaften des Fussgängerverkehrs, Schriftenreihe des IVT. IVT, vol.3, issue.2, 1993.

W. G. Weng, T. Chen, H. Y. Yuan, and W. C. Fan, Cellular automaton simulation of pedestrian counter flow with different walk velocities, Physical Review E, vol.74, issue.3, p.36102, 2006.

C. A. Yates, A. Parker, and R. E. Baker, Incorporating pushing in exclusion process models of cell migration, Physical Review E, vol.5, issue.3, p.91, 2014.

M. Fischer, G. Jankowiak, and M. Wolfram, Micro- and macroscopic modeling of crowding and pushing in corridors, Networks & Heterogeneous Media, vol.15, issue.3, pp.405-426, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02371333