7 citations · 19 across the 12 of their papers we have counts for
10 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 multiple pa…
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 $ \…
Riemannian gradient descent for spherical area-preserving mappings
Marco Sutti, Mei-Heng Yueh
We propose a new Riemannian gradient descent method for computing spherical area-preserving mappings of topological spheres using a Riemannian retraction-based framework with theor…
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…
Shooting methods 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 $\m…
Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations
Marco Sutti, Bart Vandereycken
We propose two implicit numerical schemes for the low-rank time integration of stiff nonlinear partial differential equations. Our approach uses the preconditioned Riemannian trust…
The leapfrog algorithm as nonlinear Gauss-Seidel
Marco Sutti, Bart Vandereycken
Several applications in optimization, image, and signal processing deal with data that belong to the Stiefel manifold St(n,p), that is, the set of n-by-p matrices with orthonormal…
Riemannian multigrid line search for low-rank problems
Marco Sutti, Bart Vandereycken
Large-scale optimization problems arising from the discretization of problems involving PDEs sometimes admit solutions that can be well approximated by low-rank matrices. In this p…