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20212024
most citedA parallel rank-adaptive integrator for dynamical low-rank approximation

2 citations · 4 across the 4 of their papers we have counts for

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math.NA2024★ 2 cited

Second-order robust parallel integrators for dynamical low-rank approximation

Jonas Kusch

Due to its reduced memory and computational demands, dynamical low-rank approximation (DLRA) has sparked significant interest in multiple research communities. A central challenge…

math.NA2024

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…

math.NA2023★ 2 cited

A parallel rank-adaptive integrator for dynamical low-rank approximation

Gianluca Ceruti, Jonas Kusch, Christian Lubich

This work introduces a parallel and rank-adaptive matrix integrator for dynamical low-rank approximation. The method is related to the previously proposed rank-adaptive basis updat…