Second-Order Accurate TVD Numerical Methods for Nonlocal Nonlinear Conservation Laws

DOI10.1137/20M1360979zbMath1473.65103arXiv2008.08326MaRDI QIDQ4989944

Adrian M. Ruf, Ulrik Skre Fjordholm

Publication date: 27 May 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08326

zbMATH Keywords

hyperbolic conservation lawsnonlocal modelhigher-order numerical methodsincreased regularity

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Shocks and singularities for hyperbolic equations (35L67) Integro-partial differential equations (45K05) 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) Integro-partial differential equations (35R09)

Related Items (3)

Nonlinear semigroups for nonlocal conservation laws ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit

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