15 citations · 38 across the 11 of their papers we have counts for
3 papers · 1 filter
Numerical schemes for coupled systems of nonconservative hyperbolic equations
Niklas Kolbe, Michael Herty, Siegfried Müller
A new linear relaxation system for nonconservative hyperbolic systems is introduced, in which a nonlocal source term accounts for the nonconservative product of the original system…
A data-driven microscopic on-ramp model based on macroscopic network flows
Niklas Kolbe, Moritz Berghaus, Eszter Kalló +2
While macroscopic traffic flow models consider traffic as a fluid, microscopic traffic flow models describe the dynamics of individual vehicles. Capturing macroscopic traffic pheno…
A central scheme for coupled hyperbolic systems
Michael Herty, Niklas Kolbe, Siegfried Müller
A novel numerical scheme to solve coupled systems of conservation laws is introduced. The scheme is derived based on a relaxation approach and does not require information on the L…