3 papers
math.NA2024
A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes
M. Tavelli, W. Boscheri
In this paper we present a new high order semi-implicit DG scheme on two-dimensional staggered triangular meshes applied to different nonlinear systems of hyperbolic conservation l…
math.NA2023
A high order accurate space-time trajectory reconstruction technique for quantitative particle trafficking analysis
Eloina Corradi, Maurizio Tavelli, Marie-Laure Baudet +1
The study of moving particles (e.g. molecules, virus, vesicles, organelles, or whole cells) is crucial to decipher a plethora of cellular mechanisms within physiological and pathol…
math.NA2022
An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes
Walter Boscheri, Maurizio Tavelli, Cristóbal E. Castro
We propose a novel numerical method for the solution of the shallow water equations in different regimes of the Froude number making use of general polygonal meshes. The fluxes of…