1 citations · 1 across the 1 of their papers we have counts for
3 papers
cs.CE2025
Robust and scalable nonlinear solvers for finite element discretizations of biological transportation networks
Jan Haskovec, Peter Markowich, Simone Portaro +1
We develop robust and scalable fully implicit nonlinear finite element solvers for the simulations of biological transportation networks driven by the gradient flow minimization of…
math.OC2024
PDE Models for Deep Neural Networks: Learning Theory, Calculus of Variations and Optimal Control
Peter Markowich, Simone Portaro
We propose a partial differential-integral equation (PDE) framework for deep neural networks (DNNs) and their associated learning problem by taking the continuum limits of both net…
math.AP2024★ 1 cited
Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain
Clarissa Astuto, Peter Markowich, Simone Portaro +1
In recent years, the study of biological transportation networks has attracted significant interest, focusing on their self-regulating, demand-driven nature. This paper examines a…