5 papers · 1 filter
Low-rank solutions to a class of parametrized systems using Riemannian optimization
Marco Sutti, Tommaso Vanzan
We propose a computational framework for computing low-rank approximations to the ensemble of solutions of a parametrized system of the form for multipl…
Toroidal area-preserving parameterizations of genus-one closed surfaces
Marco Sutti, Mei-Heng Yueh
We consider the problem of computing toroidal area-preserving parameterizations of genus-one closed surfaces. We propose four algorithms based on Riemannian geometry: the projected…
Nonlinear Schwarz methods to compute geodesics on manifolds
Marco Sutti, Tommaso Vanzan
We consider the leapfrog algorithm by Noakes for computing geodesics on Riemannian manifolds. The main idea behind this algorithm is to subdivide the original endpoint geodesic pro…
A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold
Marco Sutti
This paper shows how to use the shooting method, a classical numerical algorithm for solving boundary value problems, to compute the Riemannian distance on the Stiefel manifold $ \…
Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis
Marco Sutti, Jan S. Hesthaven
We study the stability and sensitivity of an absorbing layer for the Boltzmann equation by examining the Bhatnagar-Gross-Krook (BGK) approximation and using the perfectly matched l…