51 citations · 56 across the 9 of their papers we have counts for
9 papers
A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks
Gianluca Ceruti, Jonas Kusch, Christian Lubich +1
Computing the numerical solution to high-dimensional tensor differential equations can lead to prohibitive computational costs and memory requirements. To reduce the memory and com…
A robust second-order low-rank BUG integrator based on the midpoint rule
Gianluca Ceruti, Lukas Einkemmer, Jonas Kusch +1
Dynamical low-rank approximation has become a valuable tool to perform an on-the-fly model order reduction for prohibitively large matrix differential equations. A core ingredient…
Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra
Christian Lubich, Nicola Guglielmi
The structured -stability radius is introduced as a quantity to assess the robustness of transient bounds of solutions to linear differential equations under structure…
Time-dependent electromagnetic scattering from dispersive materials
Jörg Nick, Selina Burkhard, Christian Lubich
This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering…
Leapfrog methods for relativistic charged-particle dynamics
Ernst Hairer, Christian Lubich, Yanyan Shi
A basic leapfrog integrator and its energy-preserving and variational / symplectic variants are proposed and studied for the numerical integration of the equations of motion of rel…
Numerical simulations of long-range open quantum many-body dynamics with tree tensor networks
Dominik Sulz, Christian Lubich, Gianluca Ceruti +2
Open quantum systems provide a conceptually simple setting for the exploration of collective behavior stemming from the competition between quantum effects, many-body interactions,…