A POD-based reduced-order FD extrapolating algorithm for traffic flow

DOI10.1186/1687-1847-2014-269zbMath1343.76032OpenAlexW2126432300WikidataQ59324587 ScholiaQ59324587MaRDI QIDQ307298

Di Xie, Fei Teng, Zhen-Dong Luo

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-269

zbMATH Keywords

proper orthogonal decompositionnumerical simulationreduced-order finite difference extrapolating algorithmtraffic flow LWR model

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations ⋮ Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations ⋮ A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium ⋮ Constrained reduced-order models based on proper orthogonal decomposition ⋮ A REDUCED-ORDER EXTRAPOLATION SPECTRAL-FINITE DIFFERENCE SCHEME BASED ON THE POD METHOD FOR 2D SECOND-ORDER HYPERBOLIC EQUATIONS

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