62 citations · 316 across the 26 of their papers we have counts for
6 papers · 1 filter
Numerical schemes for a class of nonlocal conservation laws: a general approach
Jan Friedrich, Sanjibanee Sudha, Samala Rathan
In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. In a first step, we approximate the nonlocal term with an appropriate…
Conservation laws with discontinuous flux function on networks: a splitting algorithm
Jan Friedrich, Simone Göttlich, Annika Uphoff
In this article, we present an extension of the splitting algorithm proposed in [22] to networks of conservation laws with piecewise linear discontinuous flux functions in the unkn…
Network models for nonlocal traffic flow
Jan Friedrich, Simone Göttlich, Maximilian Osztfalk
We present a network formulation for a traffic flow model with nonlocal velocity in the flux function. The modeling framework includes suitable coupling conditions at intersections…
Nonlocal approaches for multilane traffic models
Jan Friedrich, Simone Göttlich, Elena Rossi
We present a multilane traffic model based on balance laws, where the nonlocal source term is used to describe the lane changing rate. The modelling framework includes the consider…
Maximum principle satisfying CWENO schemes for non-local conservation laws
Jan Friedrich, Oliver Kolb
Central WENO schemes are a natural candidate for higher-order schemes for non-local conservation laws, since the underlying reconstructions do not only provide single point values…
A Godunov type scheme for a class of LWR traffic flow models with non-local flux
Jan Friedrich, Oliver Kolb, Simone Göttlich
We present a Godunov type numerical scheme for a class of scalar conservation laws with non-local flux arising for example in traffic flow models. The proposed scheme delivers more…