277 citations · 1.6k across the 89 of their papers we have counts for
5 papers · 2 filters
Central WENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes
Michael Dumbser, Walter Boscheri, Matteo Semplice +1
We present a novel arbitrary high order accurate central WENO spatial reconstruction procedure (CWENO) for the solution of nonlinear systems of hyperbolic conservation laws on fixe…
A deterministic particle approximation for non-linear conservation laws
Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini +1
We review our analytical and numerical results obtained on the microscopic Follow-The-Leader (FTL) many particle approximation of one-dimensional conservation laws. More precisely,…
Follow-the-leader approximations of macroscopic models for vehicular and pedestrian flows
Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini +1
We review recent results and present new ones on a deterministic follow-the-leader particle approximation of first and second order models for traffic flow and pedestrian movements…
Conservative Multi-Dimensional Semi-Lagrangian Finite Difference Scheme: Stability and Applications to the Kinetic and Fluid Simulations
Tao Xiong, Giovanni Russo, Jing-Mei Qiu
In this paper, we propose a mass conservative semi-Lagrangian finite difference scheme for multi-dimensional problems without dimensional splitting. The semi-Lagrangian scheme, bas…
A High Order Multi-Dimensional Characteristic Tracing Strategy for the Vlasov-Poisson System
Jing-Mei Qiu, Giovanni Russo
In this paper, we consider a finite difference grid-based semi-Lagrangian approach in solving the Vlasov-Poisson (VP) system. Many of existing methods are based on dimensional spli…