On an implicit and stable resolution scheme for the Payne-Whitham model

DOI10.1016/j.mcm.2011.02.026zbMath1225.65083OpenAlexW2074212572MaRDI QIDQ646099

Carlo Caligaris, Simona Sacone, Silvia Siri

Publication date: 11 November 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.02.026

zbMATH Keywords

simulationfinite difference equationsimplicit methodexplicit methodPayne-Whitham model

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) 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)

Cites Work

• Applications of automatic control concepts to traffic flow modeling and control
• On kinematic waves II. A theory of traffic flow on long crowded roads
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