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math.AP2024
Asymptotic-preserving finite difference method for partially dissipative hyperbolic systems
Timothée Crin-Barat, Dragoş Manea
In this paper, we analyze the preservation of asymptotic properties of partially dissipative hyperbolic systems when switching to a discrete setting. We prove that one of the simpl…
math.AP2024
A Payne-Whitham model of urban traffic networks in the presence of traffic lights and its application to traffic optimisation
Mauritz N. Cartier van Dissel, Paweł Gora, Dragoş Manea
Urban road transport is a major civilisational and economic challenge, affecting the quality of life and economic activity. Addressing these challenges requires a multidisciplinary…
math.AP2023
Concentration limit for non-local dissipative convection-diffusion kernels on the hyperbolic space
María del Mar González, Liviu I. Ignat, Dragoş Manea +1
We study a non-local evolution equation on the hyperbolic space . We first consider a model for particle transport governed by a non-local interaction kernel defined…