3 papers
math.NA2021
A rank-adaptive robust integrator for dynamical low-rank approximation
Gianluca Ceruti, Jonas Kusch, Christian Lubich
A rank-adaptive integrator for the dynamical low-rank approximation of matrix and tensor differential equations is presented. The fixed-rank integrator recently proposed by two of…
math.NA2020
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…
math.NA2020
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…