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Author

Jonas Kusch

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Preprint Oct 2026

Robust second-order time integration of tree tensor networks

We propose and analyze two second-order basis-update \&Galerkin (BUG) time integration methods for dynamical low-rank approximation on Tucker tensors and tree tensor networks. Both are built from a sequential pre-computation sweep, after which the differential equations for all basis matrices and connecting tensors are...

Jonas Kusch, Dominik Sulz · 0 citations
Preprint Aug 2026

High-order robust basis-update&Galerkin integrators for dynamical low-rank approximation

Dynamical low-rank approximation has become a widely used numerical method in diverse disciplines. Its main idea is to represent the matrix or tensor-valued solution to a time-dependent differential equation as a low-rank factorization. The evolution of the factorization leads to highly stiff dynamics and requires the...

Cory D. Hauck, Jonas Kusch, Steffen Schotthöfer · 0 citations

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