21 citations · 73 across the 16 of their papers we have counts for
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math.NA2012★ 1 cited
A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models
Raul Borsche, Mark Kimathi, Axel Klar
In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Mac…
math.NA2012★ 3 cited
Kinetic derivation of a Hamilton-Jacobi traffic flow model
Raul Borsche, Axel Klar, Mark Kimathi
Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow e…