Author

Shiheng Zhang

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Preprint Aug 2026

Robust High-Order Projector-Splitting Integrators

We develop a general framework for constructing robust high-order projector-splitting integrators for dynamical low-rank approximation. For a prescribed matrix increment, we show that the standard K-S-L projector-splitting step is equivalent to a reduced K-L step, thereby eliminating the explicit backward S-step. We th...

Shi-Heng Zhang, Jing-Wei Hu · 0 citations

Preprint Aug 2026

A Counterexample to Robust Second-Order Convergence of the Strang Projector-Splitting Integrator

The classical Strang projector-splitting integrator is widely observed to converge with order two, whereas the error analysis that remains uniform as the smallest singular value retained in the low-rank approximation tends to zero proves only order one. We show that this gap is intrinsic under the standard assumptions....

Shi-Heng Zhang · 1 citation