11 citations · 12 across the 3 of their papers we have counts for
3 papers
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…
math.NA2017
A Convergent Finite Difference Scheme for the Variational Heat Equation
G. M. Coclite, J. Ridder, N. H. Risebro
The variational heat equation is a nonlinear, parabolic equation not in divergence form that arises as a model for the dynamics of the director field in a nematic liquid crystal. W…