Author

H. Babaee

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Review Oct 2026

Dynamical Low-Rank Matrix and Tensor-Network Methods in Fluid Mechanics

Fluid flows exhibit correlated structures across space and time. Dynamical low-rank approximation begins by representing the state variable as a matrix or tensor, extracting and exploiting its evolving correlated structure on the fly to construct efficient reduced-order models directly from the governing equations. Ten...

H. Babaee · Annual Review of Fluid Mecha... · 0 citations

Jul 2026

Implicit Tensor-Train Cross Integration of High-Dimensional Nonlinear PDEs via Fiber-Dependency Elimination

A principled fiber-dependency elimination framework is introduced that resolves this obstacle by expressing neighboring fibers as linear combinations of the cross-selected fibers through cross interpolation identities, which produces a closed collocation system while preserving the principal advantages of TT-cross meth...

Behzad Ghahremani, H. Babaee · arXiv.org · 1 citation