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math.NA2025
Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration
Marta Menci, Roberto Natalini, Tommaso Tenna
In this paper we propose a numerical study of macroscopic models for collective cell migration, focusing on a multi-dimensional pressureless Euler-type model with non-local interac…
math.NA2025
A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions
Magali Ribot, Roberto Natalini, Maya Briani
In this paper we propose a new numerical scheme of relaxation type to approximate the Euler equations of isentropic gas dynamics on the arcs of a network. At the junction mass cons…