30 citations · 109 across the 24 of their papers we have counts for
3 papers · 2 filters
A well-balanced numerical scheme for a one dimensional quasilinear hyperbolic model of chemotaxis
Roberto Natalini, Magali Ribot, Monika Twarogowska
We introduce a numerical scheme to approximate a quasi-linear hyperbolic system which models the movement of cells under the influence of chemotaxis. Since we expect to find soluti…
Time Asymptotic High Order Schemes for Dissipative BGK Hyperbolic Systems
Denise Aregba-Driollet, Maya Briani, Roberto Natalini
We introduce a new class of finite differences schemes to approximate one dimensional dissipative semilinear hyperbolic systems with a BGK structure. Using precise analytical time-…
A hyperbolic model of chemotaxis on a network: a numerical study
Gabriella Bretti, Roberto Natalini, Magali Ribot
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is…