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Numerical Approximation of a Macroscopic Model of Pedestrian Flows
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/mma.624openalex-snapshot
Pedestrian flows and non-classical shocks
inferredcites →https://doi.org/10.1002/num.20309openalex-snapshot
Transport‐equilibrium schemes for computing nonclassical shocks. Scalar conservation laws
inferredcites →https://doi.org/10.1006/jcph.2000.6669openalex-snapshot
Lagrangian Methods for the Tensor-Diffusivity Subgrid Model
inferredcites →https://doi.org/10.1006/jcph.2000.6690openalex-snapshot
High-Order Entropy-Conservative Schemes and Kinetic Relations for van der Waals Fluids
inferredcites →https://doi.org/10.1007/pl00005436openalex-snapshot
Convergence of a relaxation scheme for hyperbolic systems of conservation laws
inferredcites →https://doi.org/10.1007/pl00005476openalex-snapshot
A fully discrete scheme for diffusive-dispersive conservation laws
inferredcites →https://doi.org/10.1007/s002050050046openalex-snapshot
Non-Classical Shocks and Kinetic Relations: Scalar Conservation Laws
inferredcites →https://doi.org/10.1016/j.crma.2006.02.003openalex-snapshot
Transport-equilibrium schemes for computing nonclassical shocks
inferredcites →https://doi.org/10.1017/s0308210500003577openalex-snapshot
Non-classical Riemann solvers with nucleation
inferredcites →https://doi.org/10.1090/memo/0240openalex-snapshot
Admissible solutions of hyperbolic conservation laws
inferredcites →https://doi.org/10.1098/rspa.1955.0089openalex-snapshot
On kinematic waves II. A theory of traffic flow on long crowded roads
inferredcites →https://doi.org/10.1115/1.1579455openalex-snapshot
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inferredcites →https://doi.org/10.1137/s0036142997315998openalex-snapshot
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inferredcites →https://doi.org/10.1137/s0036142998345256openalex-snapshot
High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks
inferredcites →https://doi.org/10.4171/ifb/75openalex-snapshot
Computing undercompressive waves with the random choice scheme. Nonclassical shock waves
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Transport‐equilibrium schemes for computing nonclassical shocks. Scalar conservation laws
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One-Dimensional Conservation Laws with Nonlocal Point Constraints on the Flux
inferred← citeshttps://doi.org/10.1007/978-3-319-02447-9_48openalex-snapshot
A Macroscopic Model for Bidirectional Pedestrian Flow
inferred← citeshttps://doi.org/10.1007/978-3-540-47641-2_31openalex-snapshot
Transport-Equilibrium Schemes for Pedestrian Flows with Nonclassical Shocks
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Computing Phase Transitions Arising in Traffic Flow Modeling
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Nonclassical interactions portrait in a macroscopic pedestrian flow model
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Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
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Pedestrian movement analysis in transfer station corridor: Velocity-based and acceleration-based
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Coupling of general Lagrangian systems
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State-of-the-Art Pedestrian and Evacuation Dynamics
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Modeling the Mutual Anticipation in Human Crowds With Attention Distractions
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Phase Transitions in Pedestrian Evacuation: A Dynamic Modeling With Small-World Networks
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Conservation Laws with Unilateral Constraints in Traffic Modeling
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Kinetic model for bidirectional pedestrian flow in an evacuation scenario
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A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
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A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
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Uniqueness issues for evolution equations with density constraints
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Advection-diffusion equations with density constraints
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Two-way multi-lane traffic model for pedestrians in corridors
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Handling congestion in crowd motion modeling
inferred← citeshttps://doi.org/10.3934/nhm.2013.8.433openalex-snapshot
General constrained conservation laws. Application to pedestrian flow modeling
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Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling
inferred← citeshttps://doi.org/10.4208/cicp.200513.290114aopenalex-snapshot
Efficient Dynamic Floor Field Methods for Microscopic Pedestrian Crowd Simulations
inferred← citeshttps://doi.org/10.4310/cms.2007.v5.n3.a2openalex-snapshot
Transport-equilibrium schemes for computing contact discontinuities in traffic flow modeling
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Density constraints in optimal transport, PDEs and mean field games
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