2 citations · 2 across the 6 of their papers we have counts for
8 papers
Subspace Acceleration for Efficient Nonlinear Water Wave Simulation
Rasmus Kleist Hørlyck Sørensen, Margherita Guido, Allan Peter Engsig-Karup +1
Efficient simulation of nonlinear and dispersive free-surface flows governed by the incompressible Navier-Stokes equations remains a central challenge in ocean and coastal engineer…
Interpolatory Dynamical Low-Rank Approximation: Theoretical Foundations and Algorithms
Benjamin Carrel, Daniel Kressner, Hei Yin Lam +1
Dynamical low-rank approximation (DLRA) is a widely used paradigm for solving large-scale matrix differential equations, as they arise, for example, from the discretization of time…
Accelerated Solvers for Neutral Particle Dynamics in Plasma Simulation
Margherita Guido, Daniel Kressner, Davide Mancini +1
The simulation of turbulence in the boundary region of a tokamak is crucial for understanding and optimizing the performance of fusion reactors. In this work, the use of low-rank l…
Randomized low-rank Runge-Kutta methods
Hei Yin Lam, Gianluca Ceruti, Daniel Kressner
This work proposes and analyzes a new class of numerical integrators for computing low-rank approximations to solutions of matrix differential equation. We combine an explicit Rung…
Low-rank Tree Tensor Network Operators for Long-Range Pairwise Interactions
Gianluca Ceruti, Daniel Kressner, Dominik Sulz
Compactly representing and efficently applying linear operators are fundamental ingredients in tensor network methods for simulating quantum many-body problems and solving high-dim…
From low-rank retractions to dynamical low-rank approximation and back
Axel Séguin, Gianluca Ceruti, Daniel Kressner
In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More rec…
Subspace Acceleration for a Sequence of Linear Systems and Application to Plasma Simulation
Margherita Guido, Daniel Kressner, Paolo Ricci
We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent partial differential equations…
Incremental computation of block triangular matrix exponentials with application to option pricing
Daniel Kressner, Robert Luce, Francesco Statti
We study the problem of computing the matrix exponential of a block triangular matrix in a peculiar way: Block column by block column, from left to right. The need for such an eval…