815 citations · 1.4k across the 35 of their papers we have counts for
6 papers · 2 filters
An unconventional robust integrator for dynamical low-rank approximation
Gianluca Ceruti, Christian Lubich
We propose and analyse a numerical integrator that computes a low-rank approximation to large time-dependent matrices that are either given explicitly via their increments or are t…
Finding the nearest passive or non-passive system via Hamiltonian eigenvalue optimization
Antonio Fazzi, Nicola Guglielmi, Christian Lubich
We propose and study an algorithm for computing a nearest passive system to a given non-passive linear time-invariant system (with much freedom in the choice of the metric defining…
A convergent evolving finite element algorithm for Willmore flow of closed surfaces
Balázs Kovács, Buyang Li, Christian Lubich
A proof of convergence is given for a novel evolving surface finite element semi-discretization of Willmore flow of closed two-dimensional surfaces, and also of surface diffusion f…
Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature
Lehel Banjai, Christian Lubich, Joerg Nick
Generalized impedance boundary conditions are effective, approximate boundary conditions that describe scattering of waves in situations where the wave interaction with the materia…
Computing quantum dynamics in the semiclassical regime
Caroline Lasser, Christian Lubich
The semiclassically scaled time-dependent multi-particle Schrödinger equation describes, inter alia, quantum dynamics of nuclei in a molecule. It poses the combined computational c…
Time integration of tree tensor networks
Gianluca Ceruti, Christian Lubich, Hanna Walach
Dynamical low-rank approximation by tree tensor networks is studied for the data-sparse approximation to large time-dependent data tensors and unknown solutions of tensor different…