On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws

DOI10.1051/M2AN/2021073OpenAlexW3213275032MaRDI QIDQ5034827

Maria Colombo, Laura V. Spinolo, Gianluca Crippa, Marie Graff

Publication date: 21 February 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07513

zbMATH Keywords

numerical viscositynonlocal conservation lawnonlocal traffic modelsnonlocal-to-local limit

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical analysis (65-XX)

Related Items (6)

A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels ⋮ On the singular local limit for conservation laws with nonlocal fluxes ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ Numerical schemes for a class of nonlocal conservation laws: a general approach ⋮ Nonlocal traffic models with general kernels: singular limit, entropy admissibility, and convergence rate ⋮ Stationary wave profiles for nonlocal particle models of traffic flow on rough roads

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