3 papers
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…
math.NA2018
Convergence of a low-rank Lie--Trotter splitting for stiff matrix differential equations
Alexander Ostermann, Chiara Piazzola, Hanna Walach
We propose a numerical integrator for determining low-rank approximations to solutions of large-scale matrix differential equations. The considered differential equations are semil…
math.NA2017
Time integration of rank-constrained Tucker tensors
Christian Lubich, Bart Vandereycken, Hanna Walach
Dynamical low-rank approximation in the Tucker tensor format of given large time-dependent tensors and of tensor differential equations is the subject of this paper. In particular,…