Flow on Sweeping Networks
暂无分享,去创建一个
[1] Pierre Degond,et al. A Model for the Formation and Evolution of Traffic Jams , 2008 .
[2] Andreas Schadschneider,et al. Extended Floor Field CA Model for Evacuation Dynamics , 2004, IEICE Trans. Inf. Syst..
[3] A. Sznitman. Topics in propagation of chaos , 1991 .
[4] D. Armbruster,et al. Kinetic and fluid models for supply chains supporting policy attributes , 2007 .
[5] A. Chertock,et al. PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS , 2012, 1209.5947.
[6] Dirk Helbing,et al. Self-Organizing Pedestrian Movement , 2001 .
[7] Christian Schmeiser,et al. Convergence of a Stochastic Particle Approximation for Measure Solutions of the 2D Keller-Segel System , 2011 .
[8] M. R. C. McDowell,et al. Kinetic Theory of Vehicular Traffic , 1972 .
[9] D. Gazis,et al. Nonlinear Follow-the-Leader Models of Traffic Flow , 1961 .
[10] S. Mischler,et al. Quantitative uniform in time chaos propagation for Boltzmann collision processes , 2010, 1001.2994.
[11] P. Degond. Macroscopic limits of the Boltzmann equation: a review , 2004 .
[12] Serge P. Hoogendoorn,et al. Gas-Kinetic Modeling and Simulation of Pedestrian Flows , 2000 .
[13] Carlos F. Daganzo,et al. A theory of supply chains , 2003 .
[14] S. Mischler,et al. A new approach to quantitative propagation of chaos for drift, diffusion and jump processes , 2011, 1101.4727.
[15] Dirk Helbing. A Fluid-Dynamic Model for the Movement of Pedestrians , 1992, Complex Syst..
[16] Alexandre M. Bayen,et al. Convex Formulations of Data Assimilation Problems for a Class of Hamilton-Jacobi Equations , 2011, SIAM J. Control. Optim..
[17] Michel Rascle,et al. Resurrection of "Second Order" Models of Traffic Flow , 2000, SIAM J. Appl. Math..
[18] D. Helbing. Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.
[19] A. Schadschneider,et al. Simulation of pedestrian dynamics using a two dimensional cellular automaton , 2001 .
[20] Michael Schreckenberg,et al. A cellular automaton model for freeway traffic , 1992 .
[21] Radek Erban,et al. From Individual to Collective Behavior in Bacterial Chemotaxis , 2004, SIAM J. Appl. Math..
[22] M. Kac. Foundations of Kinetic Theory , 1956 .
[23] M. Burger,et al. Continuous limit of a crowd motion and herding model: Analysis and numerical simulations , 2011 .
[24] O. Lanford,et al. On a derivation of the Boltzmann equation , 1983 .
[25] Michael Schreckenberg,et al. Two lane traffic simulations using cellular automata , 1995, cond-mat/9512119.
[26] Victor J. Blue,et al. Cellular automata microsimulation for modeling bi-directional pedestrian walkways , 2001 .
[27] Harold J Payne,et al. MODELS OF FREEWAY TRAFFIC AND CONTROL. , 1971 .
[28] J. Banks,et al. Discrete-Event System Simulation , 1995 .
[29] R. LeVeque. Numerical methods for conservation laws , 1990 .
[30] Christian A. Ringhofer,et al. Stochastic Dynamics of Long Supply Chains with Random Breakdowns , 2007, SIAM J. Appl. Math..
[31] Andreas Schadschneider,et al. Empirical results for pedestrian dynamics and their implications for modeling , 2011, Networks Heterog. Media.
[32] Axel Klar,et al. Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models , 2002, SIAM J. Appl. Math..
[33] M J Lighthill,et al. ON KINEMATIC WAVES.. , 1955 .
[34] A. Schadschneider,et al. Metastable states in cellular automata for traffic flow , 1998, cond-mat/9804170.
[35] D. Helbing,et al. Self-organizing pedestrian movement; Environment and Planning B , 2001 .
[36] Dirk Helbing,et al. How simple rules determine pedestrian behavior and crowd disasters , 2011, Proceedings of the National Academy of Sciences.
[37] P. Degond,et al. A Hierarchy of Heuristic-Based Models of Crowd Dynamics , 2013, 1304.1927.
[38] Jian-Guo Liu,et al. Macroscopic Limits and Phase Transition in a System of Self-propelled Particles , 2011, Journal of Nonlinear Science.
[39] Pierre Degond,et al. Kinetic hierarchy and propagation of chaos in biological swarm models , 2013 .
[40] Cécile Appert-Rolland,et al. Realistic following behaviors for crowd simulation , 2012, Comput. Graph. Forum.
[41] Cécile Appert-Rolland,et al. Two-way multi-lane traffic model for pedestrians in corridors , 2011, Networks Heterog. Media.
[42] Pierre Degond,et al. Kinetic limits for pair-interaction driven master equations and biological swarm models , 2011, 1109.4538.
[43] Carlo Cercignani,et al. The Derivation of the Boltzmann Equation , 1997 .
[44] M J Lighthill,et al. On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[45] Alexandros Sopasakis,et al. Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics , 2006, SIAM J. Appl. Math..
[46] Alexandros Sopasakis,et al. Formal Asymptotic Models of Vehicular Traffic. Model Closures , 2003, SIAM J. Appl. Math..