A maximum-principle-satisfying finite volume compact-WENO scheme for traffic flow model on networks

DOI10.1016/J.APNUM.2016.05.001zbMath1346.65043OpenAlexW2361330128MaRDI QIDQ739014

D. Kharzeev

Publication date: 16 August 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.05.001

zbMATH Keywords

finite volume methodhyperbolic conservation lawnumerical resulttraffic flowcompact schemesmaximum-principle-satisfyingweighted essentially non-oscillatory (WENO) scheme

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Wave equation (35L05) Traffic problems in operations research (90B20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Stencil selection algorithms for WENO schemes on unstructured meshes ⋮ The simple finite volume Lax-Wendroff weighted essentially nonoscillatory schemes for shallow water equations with bottom topography ⋮ Stencil selection algorithms for WENO schemes on unstructured meshes ⋮ Maximum principle and positivity-preserving high order spectral volume schemes with parametrized flux limiters for solving hyperbolic conservation laws

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