Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models

DOI10.1007/s40314-020-1097-9zbMath1463.65220OpenAlexW2983063851MaRDI QIDQ2176206

Paola Goatin, Luis Miguel Villada, Felisia Angela Chiarello

Publication date: 4 May 2020

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-1097-9

zbMATH Keywords

system of conservation lawsnon-local fluxanti-diffusive schemesLagrangian-remap schemesmulti-class traffic models

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Traffic problems in operations research (90B20) Weak solutions to PDEs (35D30)

Related Items (9)

eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels ⋮ Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ An Overview of Non-local Traffic Flow Models ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model ⋮ A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries ⋮ Stability of a Nonlocal Traffic Flow Model for Connected Vehicles

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