most citedA convergent finite difference scheme for the Ostrovsky--Hunter equation with Dirichlet boundary conditions

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math.AP2018★ 1 cited

Traveling Waves for Nonlocal Models of Traffic Flow

Johanna Ridder, Wen Shen

We consider several non-local models for traffic flow, including both microscopic ODE models and macroscopic PDE models. The ODE models describe the movement of individual cars, wh…

math.AP2018★ 11 cited

A convergent finite difference scheme for the Ostrovsky--Hunter equation with Dirichlet boundary conditions

Johanna Ridder, Adrian Montgomery Ruf

We prove convergence of a finite difference scheme to the unique entropy solution of a general form of the Ostrovsky--Hunter equation on a bounded domain with non-homogeneous Diric…