2 papers
math.NA2026
PolyChopper: a Polyhedron Splitting Scheme
Tommaso Sorgente, Fabio Vicini
We introduce and implement a novel scheme, called \textit{PolyChopper}, for splitting a convex polyhedron into a finite set of disjoint convex sub-polyhedra. The algorithm cuts the…
math.NA2025
The low-rank tensor-train finite difference method for three-dimensional parabolic equations
Gianmarco Manzini, Tommaso Sorgente
This paper presents a numerical framework for the low-rank approximation of the solution to three-dimensional parabolic problems. The key contribution of this work is the tensoriza…